<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="review-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Adv. Opt. Technol.</journal-id>
<journal-title>Advanced Optical Technologies</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Adv. Opt. Technol.</abbrev-journal-title>
<issn pub-type="epub">2192-8584</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1390474</article-id>
<article-id pub-id-type="doi">10.3389/aot.2024.1390474</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Advanced Optical Technologies</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Optical non-linearities and applications of ZnS phosphors</article-title>
<alt-title alt-title-type="left-running-head">Chauhan et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/aot.2024.1390474">10.3389/aot.2024.1390474</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Chauhan</surname>
<given-names>Ayushi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2664984/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sharma</surname>
<given-names>Rajesh</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2621431/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Singh</surname>
<given-names>Manjot</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2714809/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sharma</surname>
<given-names>Reena</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2664868/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Physics</institution>, <institution>University Institute of Sciences</institution>, <institution>Chandigarh University</institution>, <addr-line>Mohali</addr-line>, <addr-line>Punjab</addr-line>, <country>India</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Pure and Applied Physics</institution>, <institution>Guru Ghasidas Vishwavidyalaya (A Central University)</institution>, <addr-line>Bilaspur</addr-line>, <addr-line>Chhattisgarh</addr-line>, <country>India</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Physics, Rayat Bahra University</institution>, <addr-line>Mohali</addr-line>, <addr-line>Punjab</addr-line>, <country>India</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Physics, Indian Institute of Technology Ropar</institution>, <addr-line>Punjab</addr-line>, <country>India</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2388426/overview">David Gonz&#xe1;lez-Andrade</ext-link>, UMR9001 Centre de Nanosciences et de Nanotechnologies (C2N), France</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2672292/overview">Babasaheb Dole</ext-link>, Dr. Babasaheb Ambedkar Marathwada University, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/823985/overview">Georgios Ctistis</ext-link>, Institute for Nanophotonics e.V., Germany</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2429967/overview">Angel Ortega Gomez</ext-link>, Public University of Navarre, Spain</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Rajesh Sharma, <email>sharma_rajesh1234@yahoo.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>13</volume>
<elocation-id>1390474</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Chauhan, Sharma, Singh and Sharma.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Chauhan, Sharma, Singh and Sharma</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Optical non-linearities play a crucial role in enabling efficient and ultrafast switching applications that are essential for next-generation photonic devices. ZnS phosphor material produces the best results in terms of increased luminescence quantum yield when doped with certain impurities. Nevertheless, the investigation of the third-order non-linear optical susceptibility of the phosphor materials can be exploited for various switching applications. In this regard, we review the recent advancements in the investigation of non-linear optical properties of ZnS phosphors, where the knowledge of absorption and refraction is utilized in various optical and detector applications. Furthermore, the review highlights strategies employed to enhance the non-linear optical response of phosphor materials as well as a general discussion of an attosecond optical switching scheme which can be used to fabricate devices with petahertz speeds. Consequently, we provide a solution to the unsolved problem of the significant extension of optical limiting applications to switching applications by developing design strategies to manipulate conventional ZnS phosphor material. The potential challenges and future prospects of utilizing phosphor materials for switching applications are also addressed. The strategies for manipulating ZnS phosphor can be generalized for a broad range of other materials by minimizing linear and non-linear losses, while enhancing the values of the non-linear refractive index coefficient. We propose that the figure-of-merit of ZnS material can be enhanced by using a suitable combination of pump and probe wavelength values, which can be useful for optical switching applications.</p>
</abstract>
<kwd-group>
<kwd>zinc sulphide (ZnS) phosphor</kwd>
<kwd>pump-probe measurements</kwd>
<kwd>figure-of-merit</kwd>
<kwd>all-optical switching</kwd>
<kwd>non-linear refractive index</kwd>
<kwd>non-linear absorption coefficient</kwd>
<kwd>two-photon absorption</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The use of phosphor materials has revolutionized scientific and industrial research due to their many applications in light-emitting diodes, optoelectronics, and television displays. Researchers have made numerous efforts to increase the photoluminescence quantum yield of phosphors by using various dopants and quantum confinement techniques. It has been suggested that the photoluminescence quantum yield of phosphors increases in the case of confined structures compared to their bulk counterparts (<xref ref-type="bibr" rid="B66">Sharma and Bhatti, 2007</xref>; <xref ref-type="bibr" rid="B52">Nag et al., 2008</xref>; <xref ref-type="bibr" rid="B86">Yang et al., 2008</xref>; <xref ref-type="bibr" rid="B67">Sharma et al., 2009a</xref>; <xref ref-type="bibr" rid="B68">Sharma et al., 2009b</xref>; <xref ref-type="bibr" rid="B70">Sharma et al., 2020</xref>). However, research in the field of luminescence-based applications of phosphor materials has already reached a satisfactory level; the idea of exploring non-linear properties and their applications is still unclear in the scientific community.</p>
<p>ZnS phosphor falls into the category of materials that are intensively investigated by researchers for various optoelectronics-based applications (<xref ref-type="bibr" rid="B21">Furdyna and Kossut, 1988</xref>; <xref ref-type="bibr" rid="B6">Borse et al., 1999</xref>; <xref ref-type="bibr" rid="B58">Norris et al., 2001</xref>; <xref ref-type="bibr" rid="B44">Luo et al., 2002</xref>; <xref ref-type="bibr" rid="B62">Pradhan et al., 2007</xref>; <xref ref-type="bibr" rid="B63">Pradhan and Peng, 2007</xref>; <xref ref-type="bibr" rid="B76">Thakar et al., 2007</xref>; <xref ref-type="bibr" rid="B74">Srivastava et al., 2010</xref>). For example, the UV-visible spectra of cobalt doped ZnS nanowires have shown a red shift in comparison to the spectra of pristine ZnS nanowires (<xref ref-type="bibr" rid="B23">Gawai et al., 2016</xref>). The photoluminescence quantum yield of cobalt doped ZnS nanoparticles is reduced because the Co-dopant creates the quencher sites in the energy band gap of the host material (<xref ref-type="bibr" rid="B66">Sharma and Bhatti, 2007</xref>). Photocatalytic efficiency of ZnS nanocomposites is found to be 84.49% within 180&#xa0;min for a mixed sample (<xref ref-type="bibr" rid="B14">Dake et al., 2022</xref>). As far as the applications are concerned, the nanoparticles have shown inorganic antimicrobial agent properties which can be fabricated by co-precipitation method (<xref ref-type="bibr" rid="B50">Mote et al., 2015</xref>). However, there is a limited number of research reports where non-linear characteristics are investigated from an application point of view. The question of whether a good phosphor material can also be a suitable candidate for non-linear optical investigations and applications remains unanswered in the scientific community. Non-degenerate two-photon absorption was explored in a zinc blende-type ZnS single crystal by using the ultrafast pump&#x2013;probe technique (<xref ref-type="bibr" rid="B10">Chen et al., 2013</xref>). The results of two-photon fluorescence spectroscopy and the pump&#x2013;probe method for ZnS were compared using a white-light continuum as a probe beam to produce a non-degenerate two-photon absorption spectrum (<xref ref-type="bibr" rid="B55">Negres et al., 2002a</xref>). A correction to the two-photon absorption cross-section was proposed to account for the chirp and temporal walk-off of the laser pulses. The cross-correlation signals of ZnS were measured at probe wavelengths of 480&#xa0;nm, 532&#xa0;nm, and 580&#xa0;nm, with the pump beam energy and beam width kept at 5&#xa0;<italic>&#x3bc;</italic>J and 500&#xa0;<italic>&#x3bc;</italic>m (HW1/e<sup>2</sup>M), respectively. Semiconductor quantum dots are suitable for photonic switching applications, although the signal-to-noise ratio of photonic switches and the limited number of photons are some of the problems associated with effective implementation from an application point of view (<xref ref-type="bibr" rid="B73">Smith, 1984</xref>; <xref ref-type="bibr" rid="B56">Negres et al., 2002b</xref>; <xref ref-type="bibr" rid="B77">Wada, 2004</xref>; <xref ref-type="bibr" rid="B17">Dorren et al., 2011</xref>; <xref ref-type="bibr" rid="B34">Jiang et al., 2020</xref>). Optical power consumption and small cross section of the gain medium are the major issues in the development of the logic devices (<xref ref-type="bibr" rid="B35">Jin and Wada, 2014</xref>). The pump-probe measurements of ZnS sample are carried out by using pump and probe beam wavelengths at 800&#xa0;nm and 400&#xa0;nm, respectively. It has been suggested that swapping the wavelengths of the pump and probe beams in non-degenerate pump-probe measurements can provide additional information about the relaxation time of hot electrons in the conduction band. This can be explained based on group velocity dispersion, where the 800&#xa0;nm laser beam travels faster than the 400&#xa0;nm laser beam due to differences in the refractive index values. Therefore, the pump and probe laser beams cannot be at zero delay, as predicted by cross-correlation measurements (<xref ref-type="bibr" rid="B10">Chen et al., 2013</xref>).</p>
<p>The electronic and structural properties of short-lived excited states in molecules and semiconductors can be investigated with the help of transient absorption spectroscopy. These measurements are sensitive to the emission wavelength, intensity, and temperature. Transient absorption spectroscopy and stimulated emission depletion fluorescence of molecules can be combined to measure energy state perturbations of interfaces at a nanometer scale (<xref ref-type="bibr" rid="B45">Maly et al., 2017</xref>). On the other hand, the pump-probe technique can also be used to investigate the excited state of semiconductors, where the transmission change in the probe beam is measured as a function of the time delay. One advantage of pump-probe spectroscopy over time-resolved fluorescence is that, in the absence of an excited state, only the fluorescence signal remains, providing valuable information about photon absorption in molecules.</p>
<p>The present article is organized as follows: <xref ref-type="sec" rid="s2">Section 2</xref> is devoted to pump-probe measurements of ZnS phosphor samples and a discussion of the temporal walk-off of pulses in the sample. In this section, we will address the issue of chirp and temporal walk-off of the laser pulses if a white-light continuum is used as a probe beam. In <xref ref-type="sec" rid="s3">Section 3</xref>, various challenges are highlighted for practical photonic switching applications using semiconductor quantum dots. In <xref ref-type="sec" rid="s4">Section 4</xref>, the pump-probe measurements of the ZnS sample are investigated using pump-probe beam wavelengths at 800&#xa0;nm and 400&#xa0;nm, respectively. Here, we also address the question of whether swapping the wavelengths of the pump and probe beams in non-degenerate pump-probe measurements can be useful to obtain extra information about the relaxation time of hot electrons in the conduction band. The next question is whether the swapping exercise can be utilized to determine the characteristics of ZnS for application in optical switching devices. <xref ref-type="sec" rid="s5">Section 5</xref> is devoted to finding an answer to the question of whether an all-optical switch is better than other switching devices. The concept of optical transistors and the potential for optical logic circuits to revolutionize information processing are also discussed in this section at length. The question, how to obtain resolution of the order of attoseconds in optical switching scheme, is also discussed in <xref ref-type="sec" rid="s5">Section 5</xref> which can be used to fabricate devices with petahertz speeds. <xref ref-type="sec" rid="s6">Section 6</xref> highlights various strategies to enhance the figure-of-merit of semiconductor materials. The section also addresses the issue of whether the strategies for manipulation of ZnS phosphor can be generalized for a broad range of other materials. <xref ref-type="sec" rid="s7">Section 7</xref> summarizes the major contributions and future challenges in this field.</p>
</sec>
<sec id="s2">
<title>2 Pump-probe measurements and temporal walk-off</title>
<p>The non-degenerate two-photon absorption of a ZnS single crystal sample is measured using the experimental configuration illustrated in <xref ref-type="fig" rid="F1">Figure 1A</xref>, where the details of various components are highlighted in the caption. The transmission spectra illustrated in <xref ref-type="fig" rid="F1">Figure 1B</xref> show two-photon absorption because the energies of the pump and probe photons are smaller than the energy bandgap of the ZnS material (<xref ref-type="bibr" rid="B27">Huang et al., 1997</xref>; <xref ref-type="bibr" rid="B40">Leeb et al., 1999</xref>; <xref ref-type="bibr" rid="B87">Yoffe, 2001</xref>; <xref ref-type="bibr" rid="B7">Burda et al., 2005</xref>; <xref ref-type="bibr" rid="B19">Erwin et al., 2005</xref>; <xref ref-type="bibr" rid="B85">Yang et al., 2006</xref>; <xref ref-type="bibr" rid="B57">Norris et al., 2008</xref>; <xref ref-type="bibr" rid="B13">Corrado et al., 2009</xref>). A problem arose with chirp and temporal walk-off of the laser pulses when a white light continuum was used as the probe beam. This issue was resolved by applying a correction to the two-photon absorption cross-section. The cross-correlation signals of ZnS were estimated at probe wavelengths of 480&#xa0;nm, 532&#xa0;nm, and 580&#xa0;nm, with the pump beam energy and beam width being 5&#xa0;<italic>&#x3bc;</italic>J and 500&#xa0;<italic>&#x3bc;</italic>m (HW1/e<sup>2</sup>M), respectively. The transmittance and temporal width of the signal depend on the relative velocity of the incident pulses onto the sample and the value of the non-linear optical susceptibility. It is important to note that the length of interaction of the pump and probe beams is significantly reduced due to the group velocity mismatch and different wavelengths in the white light continuum. This walk-off effect resulted in a decrease in transmittance when the difference between the frequencies of the pump and probe was increased.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> The experimental configuration of pump&#x2013;probe measurements involves a femtosecond pulsed laser beam (beam 1) from the TOPAS regenerative amplifier, which is split into two parts: beam 2 and beam 3. Beam 2 and beam 3 are respectively named the pump and probe beams. Laser beam 2 is directed onto the sample through an optical delay line and a half-wave plate. Conversely, the laser probe beam 3 is directed onto the sample with the help of a pair of mirrors. A portion of the probe beam is also directed towards detector D2. The pump and probe laser beams are directed onto the ZnS sample, and changes in the probe beam are measured using detector D1. <bold>(B)</bold> Transmittance spectra of the ZnS single crystal sample (<xref ref-type="bibr" rid="B10">Chen et al., 2013</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g001.tif"/>
</fig>
<p>The results for the non-degenerate two-photon absorption coefficient (<italic>&#x3b2;</italic>) in ZnS are represented in <xref ref-type="fig" rid="F2">Figure 2B</xref>, with theoretical estimations included according to Refs <xref ref-type="bibr" rid="B3">Banyai and Koch (1986)</xref>, <xref ref-type="bibr" rid="B8">Butcher and Cotter (1990)</xref>, and <xref ref-type="bibr" rid="B15">DeSalvo et al. (1996)</xref>. The group velocity mismatch (<italic>&#x3c1;</italic>) and non-linearity (<italic>&#x3c4;</italic>) parameters of the material corresponding to the wavelengths were 16.4 and 4.5 at 480&#xa0;nm, 9.9 and 1.9 at 532&#xa0;nm, and 6.2 and 0.6 at 580&#xa0;nm, as shown in <xref ref-type="fig" rid="F2">Figure 2A</xref>. This indicates that a significant correction is required to estimate the degenerate and non-degenerate cross-section values when the pump and probe beams have a large separation of frequencies.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Transmittance as a function of the time delay for a ZnS sample at wavelength of 480, 532 and 580&#xa0;nm. The experimental results (dashed line) are fitted with solid line curve whose details are referred to the text. <bold>(B)</bold> Non-degenerate two photon absorption coefficient as a function of probe wavelength for the ZnS sample (a) white light continuum spectral measurement without including pump&#x2013;probe walk-off. (b) pump&#x2013;probe walk-off correction is applied (c) calculated spectra of ZnS using theortical model. Reprinted with permission with <xref ref-type="bibr" rid="B56">Negres et al. (2002b)</xref> <sup>&#xa9;</sup> The Optical Society.</p>
</caption>
<graphic xlink:href="aot-13-1390474-g002.tif"/>
</fig>
<p>The transmittance can be estimated by fitting the required parameters using following Eq. <xref ref-type="disp-formula" rid="e1">1</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mi>T</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>W</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:msqrt>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x222b;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x221e;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x221e;</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
<mml:mfenced open="{" close="}">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mspace width="0.17em"/>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
<mml:mspace width="0.17em"/>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">&#x393;</mml:mi>
<mml:msqrt>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>f</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>f</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c4;</mml:mi>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Here <italic>&#x3b1;</italic>, <italic>&#x3c4;</italic>
<sub>
<italic>d</italic>
</sub>, W are the linear absorption coefficient, temporal walk-off parameter, temporal width of the probe and pump pulses, respectively. If <italic>n</italic>, <italic>&#x3bb;</italic>, c are the refractive index at wavelength <italic>&#x3bb;</italic> and speed of light, respectively, then the non-linearity can be estimated by following Eq. <xref ref-type="disp-formula" rid="e2">2</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mi mathvariant="normal">&#x393;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mspace width="0.3333em"/>
<mml:mi>n</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mspace width="0.3333em"/>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:msup>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi>&#x3b2;</mml:mi>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Here, L and <italic>&#x3b2;</italic> are respectively the sample thickness and non-degenerate two-photon absorption coefficient. <italic>n</italic> and <italic>n</italic>
<sub>
<italic>p</italic>
</sub> are the linear refractive indices for the pump and probe beams, respectively. Further, <xref ref-type="fig" rid="F3">Figure 3</xref> depicits the non-degenerate measurement results where white light continuum probe was used at <italic>&#x3bb;</italic>
<sub>
<italic>p</italic>
</sub>&#x3d;1.2&#xa0;<italic>&#x3bc;</italic>m along with the degenerate two photon absorption spectrum (<xref ref-type="bibr" rid="B22">Garito et al., 1989</xref>; <xref ref-type="bibr" rid="B9">Chattopadhyay et al., 2009</xref>; <xref ref-type="bibr" rid="B12">Cirloganu et al., 2011</xref>; <xref ref-type="bibr" rid="B38">Kumbhakar et al., 2011</xref>; <xref ref-type="bibr" rid="B59">Olson et al., 2013</xref>). The white light continuum pump-probe technique is beneficial to obtain a database spectra of various organic dyes which can be applied to investigate structure-property relations (<xref ref-type="bibr" rid="B89">Zheng et al., 2017</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Degenerate two photon absorption cross-section is represented with help of solid circles where two photon fluorescence is taken into account. Non-degenerate cross-section is represented by using open square symbols. Solid line represents the linear absorption spectrum. Reprinted with permission with <xref ref-type="bibr" rid="B56">Negres et al. (2002b)</xref>
<sup>&#xa9;</sup> The Optical Society.</p>
</caption>
<graphic xlink:href="aot-13-1390474-g003.tif"/>
</fig>
</sec>
<sec id="s3">
<title>3 Photonic switching applications</title>
<p>Since the reduction in particle size can affect the non-linear properties, semiconductor quantum dots and photonic cavities can be prospective candidates for photonic switching applications. Semiconductor quantum dots are suitable for photonic switching applications, although there are various challenges highlighted in <xref ref-type="fig" rid="F4">Figure 4</xref>. In order to attain a reasonable signal-to-noise ratio in a particular switch for practical applications, the number of incident photons are limited to one thousand (<xref ref-type="bibr" rid="B73">Smith, 1984</xref>; <xref ref-type="bibr" rid="B56">Negres et al., 2002b</xref>; <xref ref-type="bibr" rid="B77">Wada, 2004</xref>; <xref ref-type="bibr" rid="B17">Dorren et al., 2011</xref>). On the other hand, the dashed line proposed by Wada in 2004 shows a significant step toward achieving improved performance of photonic switches based on all-optical, electronic, and optoelectronic approaches. In order to develop the practical logic devices, the optical power consumption and the cross-section of the gain medium must be kept small (<xref ref-type="bibr" rid="B35">Jin and Wada, 2014</xref>). The requirement for a photonic switch is that it should convert electrical signals to optical signals with a recovery time on the order of picoseconds or femtoseconds. Such photonic switches may have terahertz switching speeds with minimum loss optical waveguides, providing high switching speeds at a low cost.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Power per bit as a function of switching time for photonic switches (<xref ref-type="bibr" rid="B73">Smith, 1984</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g004.tif"/>
</fig>
<p>The results depicted in <xref ref-type="fig" rid="F5">Figure 5</xref> were recorded by using the experimental configuration <xref ref-type="fig" rid="F1">Figure 1A</xref> where the pump laser beam was fixed at 800&#xa0;nm while the probe beam wavelength was varied from 480 to 570&#xa0;nm. When pump and probe laser beams have parallel polarization, the transmission signal was found to be smaller when the probe beam wavelength was increased from 480&#xa0;nm to 570&#xa0;nm <xref ref-type="fig" rid="F5">Figure 5A</xref>. This observation was found to similar for the case of orthogonal pump and probe beams (<xref ref-type="fig" rid="F5">Figure 5B</xref>). The non-degenerate two photon absorption coefficients for parallel and orthogonal polarization were estimated by using the concept of crystal orientation and zinc blend symmetry of ZnS single crystals.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Probe transmission spectra when pump and probe laser beam are in <bold>(A)</bold> parallel <bold>(B)</bold> orthogonal polarization mode (<xref ref-type="bibr" rid="B10">Chen et al., 2013</xref>). These data are recorded by using the experimental configuration shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>.</p>
</caption>
<graphic xlink:href="aot-13-1390474-g005.tif"/>
</fig>
<p>The non-degenerate two photon absorption coefficient is estimated to be about 7.52&#xa0;cm/GW from <xref ref-type="fig" rid="F6">Figure 6B</xref> which is consistent with previous reports of literature (<xref ref-type="bibr" rid="B55">Negres et al., 2002a</xref>). It is quite evident from the peak to valley transmission data shown in <xref ref-type="fig" rid="F6">Figure 6A</xref> that there is a large phase change due to the free carrier in comparison to the bound electrons. The value of non-linear refraction coefficient is found to be positive. At zero delay there is a narrow peak for both of the intensity values which can be due to the cascading effect of second-order non-linearities. The carrier recombination time is observed to be 0.6&#xa0;ns and 0.8&#xa0;ns for free-carrier absorption and free-carrier refraction, respectively which can be related to the electrons, holes and hole-trapping rates in refraction and absorption. The open aperture z-scan measurements are carried at input beam energies of 10, 30, and 50&#xa0;mJ which corresponds to the incident intensity values of 0.27, 0.82 and 1.37&#xa0;GW/cm<sup>2</sup>, respectively, as shown in <xref ref-type="fig" rid="F7">Figure 7A</xref>. Since the two photon absorption coefficient values do not vary with the increase in the intensity of incident beam (<xref ref-type="fig" rid="F7">Figure 7B</xref>). The non-linear scattering can be estimated by placing a detector at an angle of 45&#xb0; with respect to the incident beam while recording the scattering signal by translating the sample along the propagation direction of the beam. There is almost no change in the signal which indicate that the non-linear scattering played hardly a role in the non-linear absorption measurements. In order to obtain best options for the material showing optical limiting, the threshold value of incident laser beam intensity and reduction in the transmission play significant role (<xref ref-type="bibr" rid="B78">Wang et al., 1994</xref>; <xref ref-type="bibr" rid="B32">Jacobs and Franson, 2009</xref>; <xref ref-type="bibr" rid="B11">Christodoulides et al., 2010</xref>; <xref ref-type="bibr" rid="B41">Li, 2016</xref>; <xref ref-type="bibr" rid="B47">Marder, 2016</xref>; <xref ref-type="bibr" rid="B51">Muralidharan et al., 2016</xref>). It is quite evident that the luminescence quantum yield can be significantly increased by reduction in the particle size of doped ZnS. Nevertheless, it would be interesting to note whether the reduction of the particle size of the ZnS can also increase the optical limiting behaviour of the material. Since the transmittance of material is decreased with the increased intensity of the incident radiation, the optical limiting effect can be used in various applications where the amount of the light entering a system needs to be controlled. This example put forward a significant point in the mind of scientific community that ZnS can be a candidate for various applications in laser safety devices and protectors from intense radiation.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Estimation of non-linear refraction from peak to valley transmission (&#x394;Tpv). <bold>(B)</bold> Non-linear absorption from the normalized transmittance as a function of probe-beam time delay for ZnS (<xref ref-type="bibr" rid="B72">Sheik-Bahae et al., 1994</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Normalized open aperture z-scan data of ZnS nanocomposites at different intensities <bold>(B)</bold> absorption coefficient <italic>&#x3b2;</italic>
<sub>
<italic>eff</italic>
</sub> versus intensity I<sub>0</sub> with units in (GW/cm<sup>2</sup>) (<xref ref-type="bibr" rid="B16">Divyasree and Chandrasekharan, 2017</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g007.tif"/>
</fig>
</sec>
<sec id="s4">
<title>4 Wavelength swapping and non-linear absorption</title>
<p>Next, the pump-probe measurements of the ZnS sample are conducted using pump-probe beam wavelengths of 800&#xa0;nm and 400&#xa0;nm, respectively. Here, we also address the question of whether swapping the wavelengths of the pump and probe beams in non-degenerate pump-probe measurements can provide additional information about the relaxation time of hot electrons in the conduction band. Another question we explore is whether the swapping exercise can be utilized to determine the characteristics of ZnS for application in optical switching devices.</p>
<p>In the first step, the pump and probe beams were kept in a similar polarization state, with wavelength values of 800&#xa0;nm and 400&#xa0;nm, respectively. This situation is highlighted in <xref ref-type="fig" rid="F8">Figure 8A</xref> and can be considered as an example of the non-degenerate two-photon absorption process. It is easy to see that there is no transition from subband 1 to subband 2, as three-photon absorption is neglected. On the other hand, one can observe that the linewidth of the pump-probe transmission signal (<xref ref-type="fig" rid="F8">Figure 8B</xref>) is significantly presented in the inset of <xref ref-type="fig" rid="F8">Figure 8B</xref>. This can be explained on the basis of group velocity dispersion, where the 800&#xa0;nm laser beam travels faster than the 400&#xa0;nm laser beam due to the difference in the values of refractive indices. Therefore, the pump and probe laser beams cannot be at zero delay, as predicted by the cross-correlation measurements. One can estimate the non-degenerate two-photon absorption coefficient value using the following relation <xref ref-type="disp-formula" rid="e3">3</xref>:<disp-formula id="e3">
<mml:math id="m3">
<mml:mi mathvariant="normal">&#x393;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mspace width="0.3333em"/>
<mml:mi>n</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mspace width="0.3333em"/>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:msup>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi>&#x3b2;</mml:mi>
</mml:math>
<label>(3)</label>
</disp-formula>where, L, <italic>n</italic>
<sub>
<italic>pu</italic>
</sub>, <italic>n</italic>
<sub>
<italic>pr</italic>
</sub>, <inline-formula id="inf1">
<mml:math id="m4">
<mml:msub>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula> are the sample thickness, linear refractive index of pump beam, linear refractive index of probe beam and peak irradiance of pump beam, respectively. In order to record the results of <xref ref-type="fig" rid="F9">Figure 9A</xref> the probe beam intensity is fixed while the pump intensity is varied from 0.22&#xa0;GW/cm<sup>2</sup> to 2.24&#xa0;GW/cm<sup>2</sup>. When the time delay is at 0&#xa0;ps, a sharp decrease in the transmission is seen, however, the curves remain flat from 0.5 to 3&#xa0;ps. After 3.5&#xa0;ps the transmission increases to the original level without showing any tail effect. One can easily recall that the value of non-degenerate two-photon coefficient does not vary despite increase in the pump beam intensity, as illustrated by <xref ref-type="fig" rid="F9">Figure 9B</xref>. The free carrier absorption, degenerate two photon absorption and non-degenerate two photon absorption processes are schematically illustrated in <xref ref-type="fig" rid="F9">Figure 9C</xref>. When pump and probe beams are respectively kept at a wavelength of 400&#xa0;nm and 800&#xa0;nm, the energy bandgap of ZnS is covered by the non-degenerate two photon absorption. On the other hand, when the energy bandgap of ZnS is covered with two photons; each of wavelength 400&#xa0;nm, the process is so called the degenerate two photon absorption. The free carrier absorption is represented by the excitation of electrons in the conduction band from subband 1 to subband 2. In order to find answer to question &#x201c;how the hot electrons in the conduction are related to the minimum energy state,&#x201d; swapping of the pump and probe beam wavelengths can be helpful which is illustrated in the transmission results of <xref ref-type="fig" rid="F9">Figure 9D</xref>. The inset of <xref ref-type="fig" rid="F9">Figure 9B</xref> is magnified version of the non-linear transmission around zero delay. Since the transmission signal is reduced by about 9% around zero delay, it emphasized that not only the non-degenerate two photon absorption but also degenerate two photon absorption process contributes to the overall signal. There is a long tail associated after the time delay of 4&#xa0;ps which is related to free carrier lifetime of hot electrons in the subband 1. Recalling the fact that the free carrier lifetime is larger than the pulse width (200&#xa0;fs) of the laser beam, the lifetime can be obtained by an exponential to the recovery time of switch to the initial state.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> The band structure diagram of non-degenerate two-photon absorption in ZnS where pump and probe laser beams are kept at a wavelength of 800 and 400&#xa0;nm, respectively. <bold>(B)</bold> Percentage change in transmission as a function of time delay when probe beam is kept at a wavelength of 400&#xa0;nm. The inset shows the temporal profile of the fundamental laser beam at a wavelength of 800&#xa0;nm. The full width at half maximum of the femtosecond laser beam is found to be 200&#xa0;fs (<xref ref-type="bibr" rid="B83">Wu et al., 2014</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> Transmittance change as a function of time delay when the pump and probe beam are kept at wavelength of 800 and 400&#xa0;nm, respectively. The pump beam intensity is varied from 0.22 to 2.24&#xa0;GW/cm<sup>2</sup>. <bold>(B)</bold> Maximum transmission and non-degenerate two-photon absorption coefficients for various intensities of pump beam. <bold>(C)</bold> Energy subband structure diagram depciting free carrier absorption, degenerate two photon absorption, non-degenerate two photon absorption processes. <bold>(D)</bold> The relative transmission as a function of time delay when the pump and probe beams are respectively, kept at 400 and 800&#xa0;nm wavelength. The inset shows the magnified view of the main level near zero delay (<xref ref-type="bibr" rid="B83">Wu et al., 2014</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g009.tif"/>
</fig>
<p>The lifetime measurements include a sum of radiative and non-radiative transitions in the materials which can be deconvoluted to extract the various components. Multiexponential decay curves indicate more than one energy state which is responsible for the decay process. On the other hand, single exponential decay means only one state is responsible for decay measurements. Nevertheless, the relaxation processes at a scale of ns and even hundreds of ps can hinder the switch-off state which results in an incomplete switch-off state. In such cases, the switch-on state is sharp enough, however, the switch-off state is not complete, which results in reduced contrast of the switch.</p>
<p>Further studies are required to investigate the effect of the electron-phonon interaction in ZnS. On the other hand, the experimental result in silicon semiconductor shows that the photo-excitation leads to the decrease in the relaxation rates. This can reduce the carrier temperature through the phonon scattering. In order to get the relaxation properties of the hot electrons at relatively higher energy states, the wavelengths of the pump and probe beams are swapped. When the optical delay between the pump and probe is kept around 4&#xa0;ps, the absorption of the probe photons by hot electrons dominates. We believe that the materials, in which the relaxation time is dominated by the electron-electron and electron-phonon transitions, will be relatively better candidates for switching applications because the carrier scattering occurs at sub-picosecond time scale. On the other hand, if the radiative recombination dominates then it results in the longer lifetime values (ns) of material which produces a long tail and the switch-off state is prolonged over the period of time.</p>
<p>Next, we discuss the question whether the non-linear absorption is affected if the ZnS nanosheet samples are annealed. The situation is highlighted in <xref ref-type="fig" rid="F10">Figure 10A</xref>, where tansmission as a function of Z-position is illustrated for the ZnS nanosheet samples annealed at 400&#xb0;C for 2&#xa0;h. The experimental data are fiited by both of the processes; the two photon as well as three-photon absorption. Nevertheless, it is found that the two photon absorption fitting is better than that of the three-photon absorption fitting. This aspect is also validated from the straight line graph of ln(T<sub>
<italic>OA</italic>
</sub>) vs. ln(I), as shown in <xref ref-type="fig" rid="F10">Figure 10B</xref>. There are two important results which can be drawn from the z-scan measurements of the ZnS nanosheet. The two photon absorption is found to be about 10 times higher in ZnS nanocrystal quantum dots as compared to ZnS nanosheet sample which is due to the quantum confinement effect. On the other hand, the two photon absorption coefficient values are also enhanced as a result of annealing of the ZnS nanosheet samples (<xref ref-type="bibr" rid="B24">He et al., 2005</xref>; <xref ref-type="bibr" rid="B20">Fishman et al., 2011</xref>; <xref ref-type="bibr" rid="B37">Kole et al., 2013</xref>; <xref ref-type="bibr" rid="B60">Pattanaik et al., 2013</xref>; <xref ref-type="bibr" rid="B71">Shcherbakov et al., 2015</xref>; <xref ref-type="bibr" rid="B82">Wu et al., 2019</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> Transmission vs. Z-position of ZnS-ZnO nanocomposite sample in an open aperture z-scan measurements when intensity beam is kept at 2.41&#xa0;GW/cm<sup>2</sup>. The symbols represent the experimental data while the two and three photon absorption fittings are shown with the help of solid and dashed lines, respectively <bold>(B)</bold> time of annealing (T<sub>
<italic>OA</italic>
</sub>) as a function of the intensity (<xref ref-type="bibr" rid="B36">Kole et al., 2014</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g010.tif"/>
</fig>
<p>The non-linear optical properties of Mn-doped ZnS nanocomposites are investigated to explore the influence of Mn in the host material (<xref ref-type="bibr" rid="B18">El-naggar et al., 2022</xref>). Third-order non-linear optical susceptibility and non-linear refractive index values are shown for pure and doped samples of ZnS in <xref ref-type="fig" rid="F11">Figure 11</xref>. It is quite evident that the doped samples have shown smaller values of the non-linear refractive index as compared to the undoped samples of ZnS, which is an opposite trend in the case of the luminescent properties of the host materials, where luminescent properties are enhanced as a result of doping.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>
<bold>(A)</bold> Third-order non-linear optical susceptibility and <bold>(B)</bold> non-linear refractive index for pure and MnS/ZnS nanocomposites (<xref ref-type="bibr" rid="B18">El-naggar et al., 2022</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g011.tif"/>
</fig>
<p>The basic principle of the all-optical switching device based on its absorptive nature in the presence of the switching beam is highlighted in <xref ref-type="fig" rid="F12">Figure 12</xref>. The situation is illustrated in <xref ref-type="fig" rid="F12">Figure 12A</xref>, where the input beam is incident on a non-linear optical material, and the output beam is emitted. This state is referred to as the switch-off state of the all-optical switching device. Conversely, when both the input and switching beams are incident on the non-linear material, there is no emission of the output beam, as illustrated in <xref ref-type="fig" rid="F12">Figure 12B</xref>. This state is referred to as the switch-on state of the all-optical switching device. The basic principle of the all-optical switching device based on the change in the direction of the output beam in the presence of the switching beam can also be understood in a similar fashion. Here, the input beam is incident on a non-linear optical material, and the output beam is emitted in a certain direction. This state is referred to as the switch-off state of the all-optical switching device. On the other hand, when both the input and switching beams are incident on the non-linear material, the output beam changes its direction. This state is referred to as the switch-on state of the all-optical switching device based on its directional nature.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Basic principle of an absorptive all-optical switching device <bold>(A)</bold> when only input beam is present and <bold>(B)</bold> when input as well as the switching beams are present. <bold>(C)</bold> Estimation of figure of merit (<xref ref-type="bibr" rid="B31">Ironside, 1993</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g012.tif"/>
</fig>
<p>Since the transmittance of material is decreased with the increased intensity of the incident radiation, the optical limiting effect can be used in various applications where the amount of the light entering a system needs to be controlled. In this regard, the two-photon absorption process in ZnS can be useful to extract information whether the material can be a suitable candidate for detector and optical limiting applications. Higher the value of the non-linear absorption coefficient, greater is the possibility of a material to be used in detector and optical limiting applications. Two important points can be noticed from the non-linear absorption coefficient measurements; 1) if a material has high value of non-linear absorption coefficient, then it is not suitable for all-optical switching applications because the figure-of-merit is inversely proportional to the value of non-linear absorption coefficient. 2) Despite a low figure of merit, the material still remains useful for detector and optical limiting applications.</p>
</sec>
<sec id="s5">
<title>5 Practical applications of all-optical switching devices</title>
<p>The present section is devoted to discuss the challenges for practical applications of an all-optical switch. The concept of optical transistors and the potential for optical logic circuits to revolutionize information processing are also discussed in this section at length. The question, how to obtain resolution of the order of attoseconds in optical switching scheme, is also discussed. The attosecond optical switching scheme can be used to fabricate devices with petahertz speeds which are many orders of magnitude faster than present electronic devices.</p>
<p>To use optical logic for various practical applications, certain conditions must be satisfied, including cascading compatibility, fan-out capabilities, logic-level restoration, input/output isolation, absence of critical biasing, and logic level independence from loss (<xref ref-type="bibr" rid="B49">Miller, 2010</xref>). In the case of all-optical switching, cascading compatibility is determined by the spatial and temporal profile of the input and output laser pulses. Nevertheless, feedback stages are important for input and output signals in the case of optical transistors (<xref ref-type="bibr" rid="B48">Miller, 1990</xref>; <xref ref-type="bibr" rid="B30">Hwang et al., 2009</xref>). Regarding fan-out capabilities, the output of one stage must drive the inputs of about two or more stages in the next step in the transistors. On the other hand, there must be significant transmission even if the input beam power is low. This is in contrast to existing all-optical switching schemes in the literature, where large irradiance values of the input beam are essential to cause non-linear changes in the phase of the output beam. The logic level must be restored while the signal propagates in the medium. In the case of all-optical switching-based schemes, the group velocity dispersion of the pulses must be minimized so that we may get a clean signal after transmission.</p>
<p>Another important parameter is input/output isolation, which can be obtained for the transistors; however, it is difficult in optics because many non-linear processes that occur simultaneously can reduce the final contribution of the signal. In the case of optical signals, the coherent interference of the light beams at different points must be separated, which can justify the absence of critical biasing (<xref ref-type="bibr" rid="B54">Nazarathy et al., 2009</xref>). Another challenge is logic level independence from loss in optical switching. It has been observed that the switch-on signals are very clear in the optical switching mechanism; however, the switch-off signals are not as prompt owing to hindrance from various radiative recombination in the semiconductor materials. However, all-optical switching-based devices should have an edge over other switching devices in the future, provided practical implementations are taken into account. It is suggested that the all-optical switching needs further investigation for communication applications.</p>
<p>Most of the findings of researchers in the sub-picosecond all-optical switching domain are in the transmission mode through the target sample, which can attain terabit-rate modulation of the incident signal (<xref ref-type="bibr" rid="B64">Qi et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Jiang et al., 2022</xref>; <xref ref-type="bibr" rid="B80">Wang et al., 2022</xref>; <xref ref-type="bibr" rid="B88">Zhang et al., 2022</xref>; <xref ref-type="bibr" rid="B65">Saha et al., 2023</xref>; <xref ref-type="bibr" rid="B75">Sun et al., 2023</xref>; <xref ref-type="bibr" rid="B81">Wang et al., 2023</xref>; <xref ref-type="bibr" rid="B84">Xu et al., 2023</xref>). The main challenge with these types of switches lies in the fact that the intensity of the transmitted signal is quite low, while the switch-off state of the device is not as sharp as that of the switch-on state. One particular advantage is that most of these devices in the sub-picosecond switching time domain have been tested for practical applications at the telecommunication wavelength of 1.55&#xa0;<italic>&#x3bc;</italic>m.</p>
<p>An example of a recent switch is illustrated in <xref ref-type="fig" rid="F13">Figure 13A</xref>, where the basic principle of an attosecond reflective optical switching device is demonstrated. Reflectivity changes are introduced in the dielectric medium due to the incident pump beam. The pump and probe beams are directed onto the fused silica sample, which is followed by monitoring the reflected probe beam with the help of a photodetector (<xref ref-type="fig" rid="F13">Figure 13B</xref>). The switch-on and switch-off states of the device are shown with attosecond resolution. The attosecond switching as a function of the optical time delay is realized in <xref ref-type="fig" rid="F13">Figure 13C</xref>. The switching signal is shown in <xref ref-type="fig" rid="F13">Figure 13D</xref> when the contribution of the probe beam is subtracted from the overall signal. The switch-on and switch-off states of the attosecond switch are marked with the help of vertical lines using maximum and minimum intensities, respectively. The reflected modulated signal as a function of the optical time delay is shown in <xref ref-type="fig" rid="F13">Figure 13E</xref>. The intensity as a function of wavelength without the pump beam and with the pump beam at zero delay, as well as at an optical delay of 0.9&#xa0;fs are illustrated in <xref ref-type="fig" rid="F13">Figure 13F</xref>. Therefore, reflectivity-based modulation is demonstrated in the fused silica sample under the influence of a highly intense beam, resulting in attosecond optical switching. Furthermore, this information has been used to obtain a data binary encoding system (<xref ref-type="bibr" rid="B1">Alqattan et al., 2022</xref>; <xref ref-type="bibr" rid="B28">Hui et al., 2022</xref>; <xref ref-type="bibr" rid="B29">Hui et al., 2023</xref>). These original research findings can be used to fabricate devices with petahertz speeds, which are many orders of magnitude faster than present electronic devices.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>
<bold>(A)</bold> Basic principle of an attosecond reflective optical switching device where pump and probe beams are directed onto a sample of fused silica. <bold>(B)</bold> The reflected probe beam is monitored with the help of a photodetector. The switch on and switch off states of the device are shown with attosecond resolution. <bold>(C)</bold> Attosecond optical switching as a function of the time delay. <bold>(D)</bold> Switching signal when the contribution of the probe beam is subtracted from the overall signal. <bold>(E)</bold> The reflected modulated signal as a function of the optical time delay. <bold>(F)</bold> Intensity as a function of wavelength without pump beam and with pump beam at zero delay as well as at 0.9&#xa0;fs (<xref ref-type="bibr" rid="B29">Hui et al., 2023</xref>).</p>
</caption>
<graphic xlink:href="aot-13-1390474-g013.tif"/>
</fig>
<p>In the visible region, MnS-ZnS (0.5%) not only shows high photocatalytic efficiency (<xref ref-type="bibr" rid="B14">Dake et al., 2022</xref>) but also the higher values of non-linear optical parameters which can be useful to obtain fast optical switching in communication systems (<xref ref-type="bibr" rid="B14">Dake et al., 2022</xref>). The chalcogenide materials can be used in switching applications where the phase-changes are coupled to the cycling ability and non-volatile nature of the material. In addition, low power consumption and reduced losses are among several other advantages of these materials which demonstrate their potential for future switching applications (<xref ref-type="bibr" rid="B5">Boltasseva and Atwater, 2011</xref>; <xref ref-type="bibr" rid="B25">He et al., 2022</xref>). On the other hand, ZnS quantum dots can be utilized in various applications in the field of ultrafast photonics and non-linear optics. As an example, in the case of the lasers, the InP/ZnSeS/ZnS quantum dot saturable absorber is used to obtain mode-locked laser pulses with a pulse width of 635&#xa0;fs. The InP/ZnSeS/ZnS quantum dots fabricated in the presence of hydrogen fluoride can be used to reduce defects which leads to a reduction of the carrier recovery time. The pulse width of the laser is shortened from 635&#xa0;fs to 450&#xa0;fs by using InP/ZnSeS/ZnS quantum dots (<xref ref-type="bibr" rid="B43">Lou et al., 2022</xref>).</p>
</sec>
<sec id="s6">
<title>6 Strategies to enhance figure-of-merit</title>
<p>In the photonic devices, the higher power consumption and thermal losses hinder most of the practical applications. All-dielectric meta-materials were investigated for the switching applications because these photonic devices consume less power and the thermal losses are minimal (<xref ref-type="bibr" rid="B5">Boltasseva and Atwater, 2011</xref>; <xref ref-type="bibr" rid="B4">Behrens et al., 2019</xref>). In this regard, ZnS/SiO<sub>2</sub> was considered as one of the material which can be embedded in photonic devices (<xref ref-type="bibr" rid="B42">Li et al., 2011</xref>; <xref ref-type="bibr" rid="B79">Wang et al., 2016</xref>). These all-dielectric switches can attain picosecond switching speed which can be further increased to femtosecond switching speed with smart selection of the incident beam wavelength and manipulation of the material by doping (<xref ref-type="bibr" rid="B26">Hosokawa et al., 2012</xref>; <xref ref-type="bibr" rid="B25">He et al., 2022</xref>; <xref ref-type="bibr" rid="B39">Latif et al., 2022</xref>; <xref ref-type="bibr" rid="B2">Balaei and Naseri, 2023</xref>; <xref ref-type="bibr" rid="B46">Mandal et al., 2023</xref>). The linear absorption can be kept low in case of the non-resonant optical non-linearity, therefore, the transmission of light is increased. In case of the non-resonant optical non-linearity, non-linear refractive index, <italic>n</italic>
<sub>2</sub>, and the non-linear absorption coefficient, <italic>&#x3b1;</italic>
<sub>2</sub>, values can be related to the Kramers-Kronig relation for a broad range of solids, as illustrated in <xref ref-type="fig" rid="F6">Figure 6A</xref>. It has to be emphasized that the response time of the semiconductor to the incident field is of the order of 10<sup>&#x2013;15</sup>&#xa0;s which can be considered as an instantaneous response.</p>
<p>The schematic evolution of the idea of switching in the present investigations is depicted in <xref ref-type="fig" rid="F14">Figure 14</xref>, where pristine ZnS shows very weak luminescence, which can be considered to originate from defects, band-edge energy states, and excitonic energy levels. The weak emission peak is centered around 420&#xa0;nm and exhibits luminescence lifetime values of the order of microseconds. This situation is highlighted in <xref ref-type="fig" rid="F14">Figure 14A</xref>. However, luminescence quantum yield is significantly increased when using Mn dopant, owing to the introduction of <sup>4</sup>T<sub>1</sub> and <sup>6</sup>A<sub>1</sub> energy states in the host (<xref ref-type="fig" rid="F14">Figure 14B</xref>). The strong luminescence peak is centered around 585&#xa0;nm, with luminescence lifetime values on the order of milliseconds. Thus, the phosphor nature of ZnS is significantly enhanced by the incorporation of dopants, which can be utilized in various optoelectronic applications. Nevertheless, the situation is drastically altered when the irradiance value of the incident beam on ZnS is high enough to cause non-linear optical effects. Specifically, when the energy bandgap of ZnS is covered with two photons of the same wavelength, the process is called degenerate two-photon absorption, which is used for various optical limiting applications, as illustrated by <xref ref-type="fig" rid="F14">Figure 14C</xref>. Recalling the fact that two-photon absorption contributes to material losses, it is undesirable in the case of switching applications. In the search for schemes to achieve a high figure-of-merit, losses are reduced by using the wavelength of incident radiation where one-photon and two-photon absorption processes are avoided, as shown in <xref ref-type="fig" rid="F14">Figure 14D</xref>. The idea can be extended to a broad range of materials by using the scheme shown in <xref ref-type="fig" rid="F14">Figure 14E</xref>, so that the non-linear refractive index coefficient values are increased. The all-optical switching mechanism in nanocrystal quantum dots is highlighted in <xref ref-type="fig" rid="F14">Figure 14F</xref>, where the spin polarization concept is used.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Schematic evolution of the idea of switching in the present investigations: <bold>(A)</bold> Pristine ZnS has a very low luminescence quantum yield, which can be considered to originate from defects, band-edge energy states, and excitonic energy levels. <bold>(B)</bold> Luminescence quantum yield is significantly increased when using Mn dopant, owing to the introduction of <sup>4</sup>T<sub>1</sub> and <sup>6</sup>A<sub>1</sub> energy states in the host. <bold>(C)</bold> When the energy bandgap of ZnS is covered with two photons of the same wavelength, the process is called degenerate two-photon absorption, which is used for various optical limiting applications. <bold>(D)</bold> In the search for schemes to achieve a high figure-of-merit, losses are reduced by using the wavelength of incident radiation where one-photon and two-photon absorption processes are avoided. <bold>(E)</bold> The idea can be extended to a broad range of materials, increasing the non-linear refractive index coefficient values (<xref ref-type="bibr" rid="B31">Ironside, 1993</xref>). <bold>(F)</bold> The all-optical switching mechanism in nanocrystal quantum dots, where the spin polarization concept is used.</p>
</caption>
<graphic xlink:href="aot-13-1390474-g014.tif"/>
</fig>
</sec>
<sec id="s7">
<title>7 Summary</title>
<p>In summary, we have answered the question of whether an all-optical switch is a better candidate than other switching devices. However, all-optical switching-based devices should have an edge over other switching devices in the future, provided practical implementations are taken into account. The concept of optical transistors and the potential for optical logic circuits to revolutionize information processing are also discussed. The pump-probe measurements and temporal walk-off of pulses in the ZnS sample are discussed, addressing the issue of chirp and temporal walk-off of the laser pulses if the white-light continuum is used as the probe beam. Various challenges are elaborated for practical photonic switching applications using semiconductor quantum dots. The pump-probe measurements of the ZnS sample are investigated using pump-probe beam wavelengths at 800&#xa0;nm and 400&#xa0;nm, respectively. Here, we have addressed the question of whether swapping the wavelengths of the pump and probe beams in non-degenerate pump-probe measurements can be useful to obtain extra information about the relaxation time of hot electrons in the conduction band. The following question is answered regarding whether the swapping exercise can be utilized to determine the characteristics of ZnS for application in optical switching devices.</p>
<p>In the present paper, we have reviewed the non-linear refraction and absorption mechanism in ZnS phosphors which can be further used to obtain higher figure-of-merit values in order to decide the suitability of materials for the switching applications. The next step will be to extend the present investigations for the study of the non-linear properties of the organic molecules by borrowing the idea from semiconductor materials discussed in the present manuscript. The off-resonant (degenerate), free space optics and Mach&#x2013;Zehnder interferometer based all-optical switching configurations are already demonstrated by many researchers to test various semiconductor and non-linear organic materials (<xref ref-type="bibr" rid="B69">Sharma et al., 2021</xref>). The next challenge is to check the semiconductor and organic materials for realistic applications using a silicon organic hybrid waveguide (<xref ref-type="bibr" rid="B61">Pattanaik et al., 2016</xref>). The future road map is to incorporate organic and semiconductor materials in slot waveguide geometry (<xref ref-type="bibr" rid="B69">Sharma et al., 2021</xref>). It is to be noted that the figure-of-merit value of about &#x2265;1 is reasonable for the switching applications; however, it is reported that the theoretical estimate of figure-of-merit of the YZ-V-69 organic molecule has attained a value &#x2265;400 (<xref ref-type="bibr" rid="B53">Nalwa, 1993</xref>; <xref ref-type="bibr" rid="B47">Marder, 2016</xref>). Consequently, these organic materials can be tested for the switching applications by using free space Mach&#x2013;Zehnder interferometer configuration which can be further extended to design waveguides in the telecommunication sector by embedding the high-figure-of-merit material in the slot wave-guide geometry.</p>
</sec>
</body>
<back>
<sec id="s8">
<title>Author contributions</title>
<p>AC: Writing&#x2013;original draft. RaS: Writing&#x2013;review and editing, Writing&#x2013;original draft. MS: Writing&#x2013;original draft, Investigation, Conceptualization. ReS: Writing&#x2013;original draft, Validation, Software.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The authors declare that financial support was received for the research, authorship, and/or publication of this article. The authors acknowledge financial support of Department of Science and Technology, Government of India for Inspire project Grant number IF190054.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alqattan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Hui</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Sennary</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hassan</surname>
<given-names>M. T.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Attosecond electronic delay response in dielectric materials</article-title>. <source>Faraday Discuss.</source> <volume>237</volume>, <fpage>317</fpage>&#x2013;<lpage>326</lpage>. <pub-id pub-id-type="doi">10.1039/d2fd00002d</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Balaei</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Naseri</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Efficient and enhanced optical switches based on saturation absorption via composite of 2D materials</article-title>. <source>Opt. Laser Technol.</source> <volume>161</volume>, <fpage>109208</fpage>. <pub-id pub-id-type="doi">10.1016/j.optlastec.2023.109208</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Banyai</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Koch</surname>
<given-names>S. W.</given-names>
</name>
</person-group> (<year>1986</year>). <article-title>A simple theory for the effects of the plasma screening on the optical spectra of highly excited semiconductors</article-title>. <source>Z. Phys. B</source> <volume>63</volume>, <fpage>283</fpage>.</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Behrens</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lotnyk</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Gerlach</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Ehrhardt</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lorenz</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Rauschenbach</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Direct measurement of crystal growth velocity in epitaxial phase-change material thin films</article-title>. <source>ACS Appl. Mater. Interfaces</source> <volume>11</volume>, <fpage>41544</fpage>&#x2013;<lpage>41550</lpage>. <pub-id pub-id-type="doi">10.1021/acsami.9b16111</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boltasseva</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Atwater</surname>
<given-names>H. A.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Low-loss plasmonic metamaterials</article-title>. <source>Science</source> <volume>331</volume>, <fpage>290</fpage>&#x2013;<lpage>291</lpage>. <pub-id pub-id-type="doi">10.1126/science.1198258</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Borse</surname>
<given-names>P. H.</given-names>
</name>
<name>
<surname>Srinivas</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Shinde</surname>
<given-names>R. F.</given-names>
</name>
<name>
<surname>Date</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>Vogel</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Kulkarni</surname>
<given-names>S. K.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Effect of Mn<sup>2&#x2b;</sup> concentration in ZnS nanoparticles on photoluminescence and electron-spin-resonance spectra</article-title>. <source>Phys. Rev. B</source> <volume>60</volume> (<issue>12</issue>), <fpage>8659</fpage>&#x2013;<lpage>8664</lpage>. <pub-id pub-id-type="doi">10.1103/physrevb.60.8659</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burda</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Narayanan</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>El-Sayed</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Chemistry and properties of nanocrystals of different shapes</article-title>. <source>Chem. Rev.</source> <volume>105</volume> (<issue>4</issue>), <fpage>1025</fpage>&#x2013;<lpage>1102</lpage>. <pub-id pub-id-type="doi">10.1021/cr030063a</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Butcher</surname>
<given-names>P. N.</given-names>
</name>
<name>
<surname>Cotter</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>1990</year>) <source>The elements of nonlinear optics</source>. <publisher-loc>Cambridge</publisher-loc>: <publisher-name>Cambridge U. Press</publisher-name>. <comment>Chap. 7</comment>.</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chattopadhyay</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kumbhakar</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Sarkar</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Mitra</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Enhanced three-photon absorption and nonlinear refraction in ZnS and Mn<sup>2&#x2b;</sup> doped ZnS quantum dots</article-title>. <source>Appl. Phys. Lett.</source> <volume>95</volume>, <fpage>163115</fpage>. <pub-id pub-id-type="doi">10.1063/1.3254186</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>M. L.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>X. Z.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Z. S.</given-names>
</name>
<name>
<surname>Duan</surname>
<given-names>X. M.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Nondegenerate two-photon absorption in a zinc blende-type ZnS single crystal using the femtosecond pump&#x2013;probe technique</article-title>. <source>J. Opt. Soc. Am. B</source> <volume>30</volume> (<issue>12</issue>), <fpage>3117</fpage>&#x2013;<lpage>3122</lpage>. <pub-id pub-id-type="doi">10.1364/josab.30.003117</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Christodoulides</surname>
<given-names>D. N.</given-names>
</name>
<name>
<surname>Khoo</surname>
<given-names>I. C.</given-names>
</name>
<name>
<surname>Salamo</surname>
<given-names>G. J.</given-names>
</name>
<name>
<surname>Stegeman</surname>
<given-names>G. I.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Nonlinear refraction and absorption: mechanisms and magnitudes</article-title>. <source>Adv. Opt. Photonics</source> <volume>2</volume>, <fpage>60</fpage>&#x2013;<lpage>200</lpage>. <pub-id pub-id-type="doi">10.1364/aop.2.000060</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cirloganu</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Padilha</surname>
<given-names>L. A.</given-names>
</name>
<name>
<surname>Fishman</surname>
<given-names>D. A.</given-names>
</name>
<name>
<surname>Webster</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Extremely nondegenerate two-photon absorption in direct-gap semiconductors [Invited]</article-title>. <source>Opt. Express</source> <volume>19</volume>, <fpage>22951</fpage>. <pub-id pub-id-type="doi">10.1364/oe.19.022951</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Corrado</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Oba</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Kozina</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bridges</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J. Z.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Synthesis, structural, and optical properties of stable ZnS:Cu, Cl nanocrystals</article-title>. <source>J. Phys. Chem. A</source> <volume>113</volume>, <fpage>3830</fpage>&#x2013;<lpage>3839</lpage>. <pub-id pub-id-type="doi">10.1021/jp809666t</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dake</surname>
<given-names>D. V.</given-names>
</name>
<name>
<surname>Raskar</surname>
<given-names>N. D.</given-names>
</name>
<name>
<surname>Mane</surname>
<given-names>V. A.</given-names>
</name>
<name>
<surname>Sonpir</surname>
<given-names>R. B.</given-names>
</name>
<name>
<surname>Khawal</surname>
<given-names>H. A.</given-names>
</name>
<name>
<surname>Deshpande</surname>
<given-names>U.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Photocatalytic performance of graphene-based Cr-substituted &#x3b2; ZnS nanocomposites</article-title>. <source>Appl. Phys. A</source> <volume>128</volume> (<issue>4</issue>), <fpage>276</fpage>. <pub-id pub-id-type="doi">10.1007/s00339-022-05407-1</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>DeSalvo</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Said</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
<name>
<surname>Sheik-Bahae</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>Infrared to ultraviolet measurements of two-photon absorption and n/sub 2/in wide bandgap solids</article-title>. <source>IEEE J. Quantum Electron.</source> <volume>32</volume>, <fpage>1324</fpage>&#x2013;<lpage>1333</lpage>. <pub-id pub-id-type="doi">10.1109/3.511545</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Divyasree</surname>
<given-names>M. C.</given-names>
</name>
<name>
<surname>Chandrasekharan</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Structural and nonlinear optical characterizations of ZnS/PVP nanocomposites synthesized by pulsed laser ablation</article-title>. <source>Opt. Mater.</source> <volume>67</volume>, <fpage>119</fpage>&#x2013;<lpage>124</lpage>. <pub-id pub-id-type="doi">10.1016/j.optmat.2016.12.025</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Dorren</surname>
<given-names>H. J. S.</given-names>
</name>
<name>
<surname>Duan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Raz</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Luijten</surname>
<given-names>R. P.</given-names>
</name>
</person-group> (<year>2011</year>). &#x201c;<article-title>Fundamental bounds fr photonic interconnects OECC (Kaohsiung, Taiwan)</article-title>,&#x201d; in <conf-name>16th Opto-Electronics and Communications Conference</conf-name>, <conf-loc>Kaohsiung, Taiwan</conf-loc>, <conf-date>04-08 July 2011</conf-date>.</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>El-naggar</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Heiba</surname>
<given-names>Z. K.</given-names>
</name>
<name>
<surname>Mohamed</surname>
<given-names>M. B.</given-names>
</name>
<name>
<surname>Kamal</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Lakshminarayana</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Abd-Elkader</surname>
<given-names>O. H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Effect of MnS/ZnS nanocomposite on the structural, linear and nonlinear optical properties of PVA/CMC blended polymer</article-title>. <source>Opt. Mater.</source> <volume>128</volume>, <fpage>112379</fpage>. <pub-id pub-id-type="doi">10.1016/j.optmat.2022.112379</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Erwin</surname>
<given-names>S. C.</given-names>
</name>
<name>
<surname>Zu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Haftel</surname>
<given-names>M. I.</given-names>
</name>
<name>
<surname>Efros</surname>
<given-names>A. L.</given-names>
</name>
<name>
<surname>Kennedy</surname>
<given-names>T. A.</given-names>
</name>
<name>
<surname>Norris</surname>
<given-names>D. J.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Doping semiconductor nanocrystals</article-title>. <source>Nature</source> <volume>436</volume> (<issue>7047</issue>), <fpage>91</fpage>&#x2013;<lpage>94</lpage>. <pub-id pub-id-type="doi">10.1038/nature03832</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fishman</surname>
<given-names>D. A.</given-names>
</name>
<name>
<surname>Cirloganu</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Webster</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Padilha</surname>
<given-names>L. A.</given-names>
</name>
<name>
<surname>Monroe</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption</article-title>. <source>Nat. Photonics</source> <volume>5</volume>, <fpage>561</fpage>&#x2013;<lpage>565</lpage>. <pub-id pub-id-type="doi">10.1038/nphoton.2011.168</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="book">
<person-group person-group-type="editor">
<name>
<surname>J. K.,</surname>
<given-names>Furdyna,</given-names>
</name>
<name>
<surname>J.</surname>
<given-names>Kossut,</given-names>
</name>
</person-group> (<year>1988</year>). <source>Diluted magnetic semiconductors; semiconductors and semimetals</source> (<publisher-loc>New York</publisher-loc>: <publisher-name>Academic</publisher-name>).</citation>
</ref>
<ref id="B22">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Garito</surname>
<given-names>A. F.</given-names>
</name>
<name>
<surname>Heflin</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Wong</surname>
<given-names>K. Y.</given-names>
</name>
<name>
<surname>Zamani- Khamiri</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>1989</year>). in <source>Organic materials for nonlinear optics III</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Hann</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bloor</surname>
<given-names>O.</given-names>
</name>
</person-group> (<publisher-loc>London</publisher-loc>: <publisher-name>Royal Society of Chemistry</publisher-name>), <fpage>16</fpage>.</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gawai</surname>
<given-names>U. P.</given-names>
</name>
<name>
<surname>Khawal</surname>
<given-names>H. A.</given-names>
</name>
<name>
<surname>Shripathi</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Dole</surname>
<given-names>B. N.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>A study on the synthesis, pair distribution function and diverse properties of cobalt doped ZnS nanowires</article-title>. <source>CrystEngComm</source> <volume>18</volume>, <fpage>1439</fpage>&#x2013;<lpage>1445</lpage>. <pub-id pub-id-type="doi">10.1039/c5ce02253c</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>He</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Qu</surname>
<given-names>Y. L.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>H. P.</given-names>
</name>
<name>
<surname>Mi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Three-photon absorption in ZnO and ZnS crystals</article-title>. <source>Opt. Express</source> <volume>13</volume>, <fpage>9235</fpage>. <pub-id pub-id-type="doi">10.1364/opex.13.009235</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>He</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ban</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Tong</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Low-loss ultrafast and nonvolatile all-optical switch enabled by all-dielectric phase change materials</article-title>. <source>Iscience</source> <volume>25</volume> (<issue>6</issue>), <fpage>104375</fpage>. <pub-id pub-id-type="doi">10.1016/j.isci.2022.104375</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hosokawa</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pilgrim</surname>
<given-names>W.-C.</given-names>
</name>
<name>
<surname>Ho hle</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Szubrin</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Boudet</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Be rar</surname>
<given-names>J.-F.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Key experimental information on intermediate-range atomic structures in amorphous Ge2Sb2Te5 phase change material</article-title>. <source>J. Appl. Phys.</source> <volume>111</volume>, <fpage>083517</fpage>. <pub-id pub-id-type="doi">10.1063/1.3703570</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xue</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Photoluminescence and electroluminescence of ZnS:Cu nanocrystals in polymeric networks</article-title>. <source>Appl. Phys. Lett.</source> <volume>70</volume>, <fpage>2335</fpage>&#x2013;<lpage>2337</lpage>. <pub-id pub-id-type="doi">10.1063/1.118866</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hui</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Alqattan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yamada</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pervak</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Yabana</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Hassan</surname>
<given-names>M. T.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Attosecond electron motion control in dielectric</article-title>. <source>Nat. Phot.</source> <volume>16</volume>, <fpage>33</fpage>&#x2013;<lpage>37</lpage>. <pub-id pub-id-type="doi">10.1038/s41566-021-00918-4</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hui</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Alqattan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pervak</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Chowdhury</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Hassan</surname>
<given-names>M. T.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Ultrafast optical switching and data encoding on synthesized light fields</article-title>. <source>Sci. Adv.</source> <volume>9</volume>, <fpage>eadf1015</fpage>. <pub-id pub-id-type="doi">10.1126/sciadv.adf1015</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hwang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Pototschnig</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lettow</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zumofen</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Renn</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Gotzinger</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2009</year>). <article-title>A single-molecule optical transistor</article-title>. <source>Nature</source> <volume>460</volume>, <fpage>76</fpage>&#x2013;<lpage>80</lpage>. <pub-id pub-id-type="doi">10.1038/nature08134</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ironside</surname>
<given-names>C. N.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>Ultra-fast all-optical switching</article-title>. <source>Contemp. Phys.</source> <volume>34</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>18</lpage>. <pub-id pub-id-type="doi">10.1080/00107519308211070</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jacobs</surname>
<given-names>B. C.</given-names>
</name>
<name>
<surname>Franson</surname>
<given-names>J. D.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>All-optical switching using the quantum Zeno effect and two-photon absorption</article-title>. <source>Phys. Rev. A</source> <volume>79</volume>, <fpage>063830</fpage>. <pub-id pub-id-type="doi">10.1103/physreva.79.063830</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Yi</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Broad-band ultrafast all-optical switching based on enhanced nonlinear absorption in corrugated indium tin oxide films</article-title>. <source>ACS Nano</source> <volume>16</volume> (<issue>8</issue>), <fpage>12878</fpage>&#x2013;<lpage>12888</lpage>. <pub-id pub-id-type="doi">10.1021/acsnano.2c05139</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>You</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ouyang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Miao</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Ultrafast fiber lasers mode-locked by two-dimensional materials: review and prospect</article-title>. <source>Photonics Res.</source> <volume>8</volume>, <fpage>78</fpage>. <pub-id pub-id-type="doi">10.1364/prj.8.000078</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jin</surname>
<given-names>C. Y.</given-names>
</name>
<name>
<surname>Wada</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Photonic switching devices based on semiconductor nanostructures</article-title>. <source>J. Phys. D Appl. Phys.</source> <volume>47</volume> (<issue>13</issue>), <fpage>133001</fpage>. <pub-id pub-id-type="doi">10.1088/0022-3727/47/13/133001</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kole</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Kumbhakar</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Chatterjee</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Observations on nonlinear optical properties of ZnS nanosheet, ZnS&#x2013;ZnO composite nanosheet and porous ZnO nanostructures dispersed in aqueous medium</article-title>. <source>Chem. Phys. Lett.</source> <volume>591</volume>, <fpage>93</fpage>&#x2013;<lpage>98</lpage>. <pub-id pub-id-type="doi">10.1016/j.cplett.2013.11.016</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kole</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Tiwary</surname>
<given-names>C. S.</given-names>
</name>
<name>
<surname>Kumbhakar</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Ethylenediamine assisted synthesis of wurtzite zinc sulphide nanosheets and porous zinc oxide nanostructures: near white light photoluminescence emission and photocatalytic activity under visible light irradiation</article-title>. <source>CrystEngComm</source> <volume>15</volume>, <fpage>5515</fpage>. <pub-id pub-id-type="doi">10.1039/c3ce40531a</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kumbhakar</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Chattopadhyay</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sarkar</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Chatterjee</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2011</year>). <source>Chin. Opt. Lett.</source> <volume>9</volume>, <fpage>101902</fpage>.</citation>
</ref>
<ref id="B39">
<citation citation-type="web">
<person-group person-group-type="author">
<name>
<surname>Latif</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Asyikin</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Halimah</surname>
<given-names>M. K.</given-names>
</name>
<name>
<surname>Zaid</surname>
<given-names>M. H. M.</given-names>
</name>
<name>
<surname>Kamarudin</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Faznny</surname>
<given-names>M. F.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Structural, linear and nonlinear optical properties of samarium doped tellurite based glasses for potential optical switching application</article-title>. <comment>Available at: <ext-link ext-link-type="uri" xlink:href="https://ssrn.com/abstract=4122171">https://ssrn.com/abstract&#x3d;4122171</ext-link>.</comment>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Leeb</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gebhardt</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>M&#xfc;ller</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Haarer</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Giersig</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>1999</year>). <article-title>Colloidal synthesis and electroluminescence properties of nanoporous Mn II ZnS films</article-title>. <source>J. Phys. Chem. B</source> <volume>103</volume>, <fpage>7839</fpage>&#x2013;<lpage>7845</lpage>. <pub-id pub-id-type="doi">10.1021/jp991514r</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2016</year>) <source>Nonlinear optics: principles and applications</source>. <edition>first ed</edition>. <publisher-loc>Berlin, Heidelberg</publisher-loc>: <publisher-name>Springer</publisher-name>.</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>X.-B.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Role of electronic excitation in the amorphization of Ge-Sb-Te al loys</article-title>. <source>Phys. Rev. Lett.</source> <volume>107</volume>, <fpage>015501</fpage>. <pub-id pub-id-type="doi">10.1103/physrevlett.107.015501</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lou</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Ge</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Duan</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>InP/ZnSeS/ZnS core&#x2013;shell quantum dots as novel saturable absorbers in mode-locked fiber lasers</article-title>. <source>Adv. Opt. Mater.</source> <volume>11</volume>, <fpage>2201939</fpage>. <pub-id pub-id-type="doi">10.1002/adom.202201939</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Luo</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Ismail-Beigi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Cohen</surname>
<given-names>M. L.</given-names>
</name>
<name>
<surname>Louie</surname>
<given-names>S. G.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Quasiparticle band structure of ZnS and ZnSe</article-title>. <source>Phys. Rev. B</source> <volume>66</volume> (<issue>19</issue>), <fpage>195215</fpage>. <pub-id pub-id-type="doi">10.1103/physrevb.66.195215</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Maly</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Ravensbergen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kennis</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Van Grondelle</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Croce</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Man&#x10d;al</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Polarization-controlled optimal scatter suppression in transient absorption spectroscopy</article-title>. <source>Sci. Rep.</source> <volume>7</volume> (<issue>1</issue>), <fpage>43484</fpage>&#x2013;<lpage>43487</lpage>. <pub-id pub-id-type="doi">10.1038/srep43484</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mandal</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>De</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Lakshan</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sarfaraj</surname>
<given-names>M. N.</given-names>
</name>
<name>
<surname>Hazra</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Dey</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>A review of electro-optic, semiconductor optical amplifier and photonic crystal-based optical switches for application in quantum computing</article-title>. <source>J. Opt.</source> <volume>52</volume> (<issue>2</issue>), <fpage>603</fpage>&#x2013;<lpage>611</lpage>. <pub-id pub-id-type="doi">10.1007/s12596-022-01045-1</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Marder</surname>
<given-names>S. R.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Materials for third-order nonlinear optics</article-title>. <source>MRS Bull.</source> <volume>41</volume>, <fpage>53</fpage>&#x2013;<lpage>62</lpage>. <pub-id pub-id-type="doi">10.1557/mrs.2015.310</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Miller</surname>
<given-names>D. A. B.</given-names>
</name>
</person-group> (<year>1990</year>) <source>SPIE critical reviews of optical science and Technology</source>, <fpage>68</fpage>&#x2013;<lpage>76</lpage>.</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Miller</surname>
<given-names>D. A. B.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Are optical transistors the logical next step?</article-title> <source>Nat. Photonics</source> <volume>4</volume>, <fpage>3</fpage>&#x2013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.1038/nphoton.2009.240</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mote</surname>
<given-names>V. D.</given-names>
</name>
<name>
<surname>Purushotham</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Shinde</surname>
<given-names>R. S.</given-names>
</name>
<name>
<surname>Salunke</surname>
<given-names>S. D.</given-names>
</name>
<name>
<surname>Dole</surname>
<given-names>B. N.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Structural, optical and antibacterial properties of yttrium doped ZnO nanoparticles</article-title>. <source>Ceramica</source> <volume>61</volume>, <fpage>457</fpage>&#x2013;<lpage>461</lpage>. <pub-id pub-id-type="doi">10.1590/0366-69132015613601932</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Muralidharan</surname>
<given-names>M. N.</given-names>
</name>
<name>
<surname>Mathew</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Seema</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Radhakrishnan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Kurian</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Optical limiting properties of <italic>in situ</italic> reduced graphene oxide/polymer nanocomposites</article-title>. <source>Mater. Chem. Phys.</source> <volume>171</volume>, <fpage>367</fpage>&#x2013;<lpage>373</lpage>. <pub-id pub-id-type="doi">10.1016/j.matchemphys.2016.01.030</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nag</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Chakraborty</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sarma</surname>
<given-names>D. D.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>To dope Mn<sup>2&#x2b;</sup> in a semiconducting nanocrystal</article-title>. <source>J. Am. Chem. Soc.</source> <volume>130</volume> (<issue>32</issue>), <fpage>10605</fpage>&#x2013;<lpage>10611</lpage>. <pub-id pub-id-type="doi">10.1021/ja801249z</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nalwa</surname>
<given-names>H. S.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>Organic Materials for third-order nonlinear optics</article-title>. <source>Adv. Mater.</source> <volume>5</volume>, <fpage>341</fpage>&#x2013;<lpage>358</lpage>. <pub-id pub-id-type="doi">10.1002/adma.19930050504</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nazarathy</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zalevsky</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Rudnitsky</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Larom</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Nevet</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Orenstein</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2009</year>). <article-title>All-optical linear reconfigurable logic with nonlinear phase erasure</article-title>. <source>J. Opt. Soc. Am. A</source> <volume>26</volume>, <fpage>A21</fpage>&#x2013;<lpage>A39</lpage>. <pub-id pub-id-type="doi">10.1364/josaa.26.000a21</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Negres</surname>
<given-names>R. A.</given-names>
</name>
<name>
<surname>Hales</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Kobyakov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>2002a</year>). <article-title>Experiment and analysis of two-photon absorption spectroscopy using a white-light continuum probe</article-title>. <source>IEEE J. Quantum Electron.</source> <volume>38</volume>, <fpage>1205</fpage>&#x2013;<lpage>1216</lpage>. <pub-id pub-id-type="doi">10.1109/jqe.2002.802448</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Negres</surname>
<given-names>R. A.</given-names>
</name>
<name>
<surname>Hales</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Kobyakov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>2002b</year>). <article-title>Two-photon spectroscopy and analysis with a white-light continuum probe</article-title>. <source>Opt. Lett.</source> <volume>27</volume> (<issue>4</issue>), <fpage>270</fpage>&#x2013;<lpage>272</lpage>. <pub-id pub-id-type="doi">10.1364/ol.27.000270</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Norris</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Efros</surname>
<given-names>A. L.</given-names>
</name>
<name>
<surname>Erwin</surname>
<given-names>S. C.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Doped nanocrystals</article-title>. <source>Science</source> <volume>319</volume> (<issue>5871</issue>), <fpage>1776</fpage>&#x2013;<lpage>1779</lpage>. <pub-id pub-id-type="doi">10.1126/science.1143802</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Norris</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Charnock</surname>
<given-names>F. T.</given-names>
</name>
<name>
<surname>Kennedy</surname>
<given-names>T. A.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>High-quality manganese-doped ZnSe nanocrystals</article-title>. <source>Nano Lett.</source> <volume>1</volume> (<issue>1</issue>), <fpage>3</fpage>&#x2013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1021/nl005503h</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Olson</surname>
<given-names>B. V.</given-names>
</name>
<name>
<surname>Gehlsen</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Boggess</surname>
<given-names>T. F.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Nondegenerate two-photon absorption in GaSb</article-title>. <source>Opt. Commun.</source> <volume>304</volume>, <fpage>54</fpage>&#x2013;<lpage>57</lpage>. <pub-id pub-id-type="doi">10.1016/j.optcom.2013.04.035</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pattanaik</surname>
<given-names>H. S.</given-names>
</name>
<name>
<surname>Fishman</surname>
<given-names>D. A.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Pulsed and CW IR detection in wide-gap semiconductors using extremely non-degenerate two-photon absorption</article-title>. <source>Proc. Conf. Lasers Electro-Opt CTu3E3</source>, <fpage>1</fpage>. <pub-id pub-id-type="doi">10.1364/cleo_si.2013.ctu3e.3</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pattanaik</surname>
<given-names>H. S.</given-names>
</name>
<name>
<surname>Reichert</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>K. J. B. D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Enhancement of two-photon absorption in quantum wells for extremely nondegenerate photon pairs</article-title>. <source>J. Quant. Electron IEEE</source> <volume>52</volume>, <fpage>9000114</fpage>.</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pradhan</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Battaglia</surname>
<given-names>D. M.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Efficient, stable, small, and water-soluble doped ZnSe nanocrystal emitters as non-cadmium biomedical labels</article-title>. <source>Nano Lett.</source> <volume>7</volume> (<issue>2</issue>), <fpage>312</fpage>&#x2013;<lpage>317</lpage>. <pub-id pub-id-type="doi">10.1021/nl062336y</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pradhan</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Efficient and color-tunable Mn-doped ZnSe nanocrystal emitters: control of optical performance via greener synthetic chemistry</article-title>. <source>J. Am. Chem. Soc.</source> <volume>129</volume> (<issue>11</issue>), <fpage>3339</fpage>&#x2013;<lpage>3347</lpage>. <pub-id pub-id-type="doi">10.1021/ja068360v</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Qi</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>All-optical switch based on novel physics effects</article-title>. <source>J. Appl. Phys.</source> <volume>129</volume>, <fpage>210906</fpage>. <pub-id pub-id-type="doi">10.1063/5.0048878</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saha</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Diroll</surname>
<given-names>B. T.</given-names>
</name>
<name>
<surname>Ozlu</surname>
<given-names>M. G.</given-names>
</name>
<name>
<surname>Chowdhury</surname>
<given-names>S. N.</given-names>
</name>
<name>
<surname>Peana</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kudyshev</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Engineering the temporal dynamics of all-optical switching with fast and slow materials</article-title>. <source>Nat. Commun.</source> <volume>14</volume>, <fpage>5877</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-023-41377-5</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sharma</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bhatti</surname>
<given-names>H. S.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Photoluminescence decay kinetics of doped ZnS nano phosphors</article-title>. <source>Nanotechnology</source> <volume>18</volume> (<issue>46</issue>), <fpage>465703</fpage>. <pub-id pub-id-type="doi">10.1088/0957-4484/18/46/465703</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sharma</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bhatti</surname>
<given-names>H. S.</given-names>
</name>
<name>
<surname>Kyhm</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2009a</year>). <article-title>Enhanced oscillator strengths and optical parameters of doped ZnS bulk and nano phosphors</article-title>. <source>Appl. Phys. B</source> <volume>97</volume>, <fpage>145</fpage>&#x2013;<lpage>155</lpage>. <pub-id pub-id-type="doi">10.1007/s00340-009-3632-7</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sharma</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Kyhm</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2009b</year>). <article-title>Modal optical gain and cavity mode analysis of unstructured and optically structured ZnO nanocrystalline thin films</article-title>. <source>J. Phys. D Appl. Phys.</source> <volume>42</volume>, <fpage>135421</fpage>. <pub-id pub-id-type="doi">10.1088/0022-3727/42/13/135421</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sharma</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Singh</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kaur</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Recent advances in high-figure-of-merit semiconductor and organic materials for all-optical switching applications</article-title>. <source>J. Mat. Sci.</source> <volume>56</volume>, <fpage>2838</fpage>&#x2013;<lpage>2855</lpage>. <pub-id pub-id-type="doi">10.1007/s10853-020-05486-6</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sharma</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Singh</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sharma</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Recent advances in STED and RESOLFT super-resolution imaging techniques</article-title>. <source>Spectrochimica Acta Part A Mol. Biomol. Spectrosc.</source> <volume>231</volume>, <fpage>117715</fpage>. <pub-id pub-id-type="doi">10.1016/j.saa.2019.117715</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shcherbakov</surname>
<given-names>M. R.</given-names>
</name>
<name>
<surname>Vabishchevich</surname>
<given-names>P. P.</given-names>
</name>
<name>
<surname>Shorokhov</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Chong</surname>
<given-names>K. E.</given-names>
</name>
<name>
<surname>Choi</surname>
<given-names>D.-Y.</given-names>
</name>
<name>
<surname>Staude</surname>
<given-names>I.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Ultrafast all-optical switching with magnetic resonances in nonlinear dielectric nanostructures</article-title>. <source>Nano Lett.</source> <volume>15</volume>, <fpage>6985</fpage>&#x2013;<lpage>6990</lpage>. <pub-id pub-id-type="doi">10.1021/acs.nanolett.5b02989</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sheik-Bahae</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>1994</year>). <article-title>Nondegenerate optical Kerr effect in semiconductors</article-title>. <source>IEEE J. Quantum Electron.</source> <volume>30</volume>, <fpage>249</fpage>&#x2013;<lpage>255</lpage>. <pub-id pub-id-type="doi">10.1109/3.283767</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Smith</surname>
<given-names>P. W.</given-names>
</name>
</person-group> (<year>1984</year>). <article-title>Application of all-optical switching and logic</article-title>. <source>Phil. Trans. R. Soc. A</source> <volume>313</volume>, <fpage>349</fpage>&#x2013;<lpage>355</lpage>.</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Srivastava</surname>
<given-names>B. B.</given-names>
</name>
<name>
<surname>Jana</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Karan</surname>
<given-names>N. S.</given-names>
</name>
<name>
<surname>Paria</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jana</surname>
<given-names>N. R.</given-names>
</name>
<name>
<surname>Sarma</surname>
<given-names>D. D.</given-names>
</name>
<etal/>
</person-group> (<year>2010</year>). <article-title>Highly luminescent Mn-doped ZnS nanocrystals: gram-scale synthesis</article-title>. <source>J. Phys. Chem. Lett.</source> <volume>1</volume> (<issue>9</issue>), <fpage>1454</fpage>&#x2013;<lpage>1458</lpage>. <pub-id pub-id-type="doi">10.1021/jz100378w</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Larin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Mozharov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ageev</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Pashina</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Komissarenko</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>All-optical generation of static electric field in a single metal-semiconductor nanoantenna</article-title>. <source>Light Sci. Appl.</source> <volume>12</volume>, <fpage>237</fpage>. <pub-id pub-id-type="doi">10.1038/s41377-023-01262-8</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thakar</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Snee</surname>
<given-names>P. T.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Efficient emission from core/(doped) shell nanoparticles: applications for chemical sensing</article-title>. <source>Nano Lett.</source> <volume>7</volume> (<issue>11</issue>), <fpage>3429</fpage>&#x2013;<lpage>3432</lpage>. <pub-id pub-id-type="doi">10.1021/nl0719168</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wada</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Femtosecond all-optical devices for ultrafast communication and signal processing</article-title>. <source>New J. Phys.</source> <volume>6</volume>, <fpage>183</fpage>. <pub-id pub-id-type="doi">10.1088/1367-2630/6/1/183</pub-id>
</citation>
</ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Sheik-Bahae</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Said</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Hagan</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Van Stryland</surname>
<given-names>E. W.</given-names>
</name>
</person-group> (<year>1994</year>). <article-title>Time-resolved Z-scan measurements of optical nonlinearities</article-title>. <source>J. Opt. Soc. Am. B</source> <volume>11</volume> (<issue>6</issue>), <fpage>1009</fpage>&#x2013;<lpage>1017</lpage>. <pub-id pub-id-type="doi">10.1364/josab.11.001009</pub-id>
</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Rogers</surname>
<given-names>E. T.</given-names>
</name>
<name>
<surname>Gholipour</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.-M.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Teng</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>Optically reconfigurable metasurfaces and photonic devices based on phase change materials</article-title>. <source>Nat. Photonics</source> <volume>10</volume>, <fpage>60</fpage>&#x2013;<lpage>65</lpage>. <pub-id pub-id-type="doi">10.1038/nphoton.2015.247</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Lu</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Meng</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Ultrafast third-order nonlinear optical response of Ag modified ZnSe/ZnS core-shell structure quantum dots composite films</article-title>. <source>Optik</source> <volume>252</volume>, <fpage>168537</fpage>. <pub-id pub-id-type="doi">10.1016/j.ijleo.2021.168537</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Yu</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>L.-Y.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Optical switch of electron-hole and electron-electron collisions in semiconductors</article-title>. <source>Phys. Rev. B</source> <volume>107</volume>, <fpage>L161301</fpage>. <pub-id pub-id-type="doi">10.1103/physrevb.107.l161301</pub-id>
</citation>
</ref>
<ref id="B82">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Kerr nonlinearity in 2D graphdiyne for passive photonic diodes</article-title>. <source>Adv. Mater.</source> <volume>31</volume>, <fpage>1807981</fpage>. <pub-id pub-id-type="doi">10.1002/adma.201807981</pub-id>
</citation>
</ref>
<ref id="B83">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>Y. E.</given-names>
</name>
<name>
<surname>Ren</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Yi</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2014</year>). <article-title>Optical nonlinear dynamics in ZnS from femtosecond laser pulses</article-title>. <source>AIP Adv.</source> <volume>4</volume> (<issue>5</issue>). <pub-id pub-id-type="doi">10.1063/1.4876235</pub-id>
</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Qian</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Microstructured all-optical switching based on two-dimensional material</article-title>. <source>Coatings</source> <volume>13</volume> (<issue>5</issue>), <fpage>876</fpage>. <pub-id pub-id-type="doi">10.3390/coatings13050876</pub-id>
</citation>
</ref>
<ref id="B85">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Angerhofer</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>Y. C.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Radial-position-controlled doping in CdS/ZnS core/shell nanocrystals</article-title>. <source>J. Am. Chem. Soc.</source> <volume>128</volume> (<issue>38</issue>), <fpage>12428</fpage>&#x2013;<lpage>12429</lpage>. <pub-id pub-id-type="doi">10.1021/ja064818h</pub-id>
</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Angerhofer</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>Y. C.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>On doping CdS/ZnS core/shell nanocrystals with Mn</article-title>. <source>J. Am. Chem. Soc.</source> <volume>130</volume> (<issue>46</issue>), <fpage>15649</fpage>&#x2013;<lpage>15661</lpage>. <pub-id pub-id-type="doi">10.1021/ja805736k</pub-id>
</citation>
</ref>
<ref id="B87">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yoffe</surname>
<given-names>A. D.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Semiconductor quantum dots, and related systems: electronic, optical, luminescence and related properties of low dimensional systems</article-title>. <source>Adv. Phys.</source> <volume>50</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>208</lpage>. <pub-id pub-id-type="doi">10.1080/00018730010006608</pub-id>
</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Chung</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Huey</surname>
<given-names>W. L. B.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>All-optical switching of magnetization in atomically thin CrI3</article-title>. <source>Nat. Mat.</source> <volume>21</volume>, <fpage>1373</fpage>&#x2013;<lpage>1378</lpage>. <pub-id pub-id-type="doi">10.1038/s41563-022-01354-7</pub-id>
</citation>
</ref>
<ref id="B89">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Si</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Liang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Black phosphorus based all-optical-signal-processing: toward high performances and enhanced stability</article-title>. <source>ACS Photonics</source> <volume>4</volume>, <fpage>1466</fpage>&#x2013;<lpage>1476</lpage>. <pub-id pub-id-type="doi">10.1021/acsphotonics.7b00231</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>