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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Photonics</journal-id>
<journal-title>Frontiers in Photonics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Photonics</abbrev-journal-title>
<issn pub-type="epub">2673-6853</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1067916</article-id>
<article-id pub-id-type="doi">10.3389/fphot.2023.1067916</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Photonics</subject>
<subj-group>
<subject>Mini Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Plasmonics for microwave photonics in the THz range</article-title>
<alt-title alt-title-type="left-running-head">Burla 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/fphot.2023.1067916">10.3389/fphot.2023.1067916</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Burla</surname>
<given-names>Maurizio</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<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/1464081/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hoessbacher</surname>
<given-names>Claudia</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Heni</surname>
<given-names>Wolfgang</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Haffner</surname>
<given-names>Christian</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Salamin</surname>
<given-names>Yannick</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fedoryshyn</surname>
<given-names>Yuriy</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Watanabe</surname>
<given-names>Tatsuhiko</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Massler</surname>
<given-names>Hermann</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Blatter</surname>
<given-names>Tobias</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Horst</surname>
<given-names>Yannik</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Elder</surname>
<given-names>Delwin L.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2124762/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dalton</surname>
<given-names>Larry R.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Leuthold</surname>
<given-names>Juerg</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institute of High Frequency Technologies and Photonics</institution>, <institution>TU Berlin</institution>, <addr-line>Berlin</addr-line>, <country>Germany</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Electromagnetic Fields</institution>, <institution>ETH Zurich</institution>, <addr-line>Zurich</addr-line>, <country>Switzerland</country>
</aff>
<aff id="aff3">
<institution>
<sup>3</sup>
</institution>
<institution>Polariton Technologies Inc.</institution>, <addr-line>R&#xfc;schlikon</addr-line>, <country>Switzerland</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>IMEC</institution>, <addr-line>Leuven</addr-line>, <country>Belgium</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Research Laboratory of Electronics</institution>, <institution>MIT</institution>, <addr-line>Cambridge</addr-line>, <addr-line>MA</addr-line>, <country>United States</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Fraunhofer IAF</institution>, <addr-line>Freiburg im Breisgau</addr-line>, <country>Germany</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Chemistry</institution>, <institution>University of Washington</institution>, <addr-line>Seattle</addr-line>, <addr-line>WA</addr-line>, <country>United States</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>NLM Photonics</institution>, <addr-line>Seattle</addr-line>, <addr-line>WA</addr-line>, <country>United States</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/1109377/overview">Marco Peccianti</ext-link>, Loughborough University, United Kingdom</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/985073/overview">Guillaume Ducournau</ext-link>, Universit&#xe9; de Lille, France</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Maurizio Burla, <email>burla@tu-berlin.de</email>; Juerg Leuthold, <email>leuthold@ethz.ch</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Plasmonics, a section of the journal Frontiers in Photonics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>04</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>4</volume>
<elocation-id>1067916</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Burla, Hoessbacher, Heni, Haffner, Salamin, Fedoryshyn, Watanabe, Massler, Blatter, Horst, Elder, Dalton and Leuthold.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Burla, Hoessbacher, Heni, Haffner, Salamin, Fedoryshyn, Watanabe, Massler, Blatter, Horst, Elder, Dalton and Leuthold</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>THz frequencies offer enormous amounts of bandwidth, which could solve the current speed bottleneck for next-generation wireless communications. Recent reports show sub-THz links offering capacities of hundreds of Gbit/s, finally approaching those of state-of-the-art optical transmission channels. Non-etheless, generation, transport, detection and processing of signals in the THz range is far from being a trivial task. Even though the recent evolution of integrated technology is starting to indicate that chip-scale THz technology could gradually close the so-called &#x201c;THz gap,&#x201d; much work still needs to be done to enable functional systems, in particular in terms of efficiency. Photonics can be of help, thanks to its extremely low loss and broad bandwidth. Yet, a particularly critical aspect hindering the deployment of THz technology is that state-of-the-art photonics devices generally do not offer sufficient electro-optical bandwidth to process THz signals. Plasmonics, by focusing electromagnetic surface waves at sub-wavelength scales, can play a key role in this quest, as it finally enables the realization of electro-optical devices such as modulators and detectors displaying sufficient compactness and speeds to reach the THz range. This paper overviews recent achievements on plasmonic-based modulators displaying characteristics of speed, efficiency and linearity that enable high-performance access to this much desired frequency range.</p>
</abstract>
<kwd-group>
<kwd>microwave photonics</kwd>
<kwd>plasmonics</kwd>
<kwd>modulators</kwd>
<kwd>terahertz</kwd>
<kwd>analog links</kwd>
<kwd>wireless communications</kwd>
</kwd-group>
<contract-num rid="cn001">948624 670478</contract-num>
<contract-num rid="cn002">173996</contract-num>
<contract-num rid="cn003">822030</contract-num>
<contract-sponsor id="cn001">European Research Council<named-content content-type="fundref-id">10.13039/501100000781</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Schweizerischer Nationalfonds zur F&#xf6;rderung der Wissenschaftlichen Forschung<named-content content-type="fundref-id">10.13039/501100001711</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Horizon 2020 Framework Programme<named-content content-type="fundref-id">10.13039/100010661</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The terahertz (100&#xa0;GHz&#x2013;10&#xa0;THz) and in particular the sub-THz frequency range (up to 300&#xa0;GHz) have experienced a major raise in interest in recent years. THz technologies offer a tremendous potential for multiple application domains, from high-volume wireless communications (5G and 5G&#x2b;) (<xref ref-type="bibr" rid="B61">Seeds et al., 2015b</xref>), to sensing (<xref ref-type="bibr" rid="B55">Ren et al., 2019</xref>), security screening (<xref ref-type="bibr" rid="B52">Palka et al., 2014</xref>), non-invasive medical imaging (<xref ref-type="bibr" rid="B8">Brun et al., 2010</xref>), astronomy (<xref ref-type="bibr" rid="B66">Wang et al., 2019</xref>), and more (<xref ref-type="bibr" rid="B68">Yu et al., 2018</xref>). As examples, sub-THz frequencies were recently used in the ultra-high resolution interferometric radio astronomy observations that allowed to image, for the very first time, the shadow of the supermassive black hole in the center of the Milky Way (<xref ref-type="bibr" rid="B3">Akiyama et al., 2022</xref>). Besides unprecedented resolution in astronomical imaging, THz frequencies offer enormous amounts of bandwidth (<xref ref-type="bibr" rid="B49">Nagatsuma et al., 2016</xref>; <xref ref-type="bibr" rid="B51">Oxenl&#xf8;we et al., 2018</xref>) that could solve the current speed bottleneck for next-generation wireless communications (<xref ref-type="bibr" rid="B23">Hecht, 2016</xref>).</p>
<p>In the past, this frequency range has been referred to as the &#x201c;THz gap&#x201d;, due to the lack of efficient methods to generate and detect signals at these frequencies. The recent evolution of integrated technology is starting to indicate that chip-scale THz technology could gradually close this gap (<xref ref-type="bibr" rid="B62">Sengupta et al., 2018</xref>; <xref ref-type="bibr" rid="B63">Shahramian et al., 2018</xref>). Nonetheless, much work still needs to be done to enable functional THz systems (<xref ref-type="bibr" rid="B47">Mittleman, 2013</xref>), which are still far from becoming efficient and practical.</p>
<p>Photonics technology, instead, allows low-loss transport of high frequencies, including THz, over large distances. As a reference, standard optical fibers losses can be as little as 0.2&#xa0;dB/km. Yet, while excelling at low loss and broadband transport, the best photonic technologies to this date still struggle with the conversion of signals from the THz to the optical domains, which is a fundamental operation needed to experience the benefits offered by photonics transport of high-speed electrical signals.</p>
<p>Very recently, impressive progress has been made in fast and efficient lithium niobate modulators based on thin-film technology (<xref ref-type="bibr" rid="B44">Mercante et al., 2018</xref>; <xref ref-type="bibr" rid="B65">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B67">Weigel et al., 2018</xref>). <xref ref-type="bibr" rid="B67">Weigel et al. (2018)</xref> oxide-bonded a thin-film of LiNbO<sub>3</sub> to a foundry-fabricated silicon photonic circuit and obtained a 3-dB bandwidth beyond 106&#xa0;GHz. <xref ref-type="bibr" rid="B44">Mercante et al. (2018)</xref> fabricated a thin film crystal ion sliced (CIS) LiNbO<sub>3</sub> phase modulator where, by very accurate index matching between the co-propagating modes (optical and RF) an electro-optical response up to 500&#xa0;GHz could be measured, with a <italic>V</italic>
<sub>&#x3c0;,DC</sub> of 3.8&#xa0;V/cm. <xref ref-type="bibr" rid="B65">Wang et al. (2018)</xref> have shown lithium niobate-on-insulator (LNOI) Mach&#x2013;Zehnder optical modulators with a 3-dB bandwidth of 100&#xa0;GHz and a <italic>V</italic>
<sub>&#x3c0;</sub>
<italic>L</italic> of 2.2&#xa0;V&#xa0;cm, and also a 40&#xa0;GHz bandwidth, 20&#xa0;mm-long device with a loss of only 0.5&#xa0;dB and an ultra-low RF half-wave voltage of 1.4&#xa0;V. All these devices show very strong potential for microwave photonic systems and next-generation optical communication networks. But while the fastest photonic modulators displayed measurable sidebands at sub-THz frequencies, their 3&#xa0;dB bandwidths are still limited to the 100&#xa0;GHz range (<xref ref-type="bibr" rid="B44">Mercante et al., 2018</xref>). Above these frequencies, plasmonics may become a key technology, as it has demonstrated the possibility to create electro-optical converters (modulators and detectors) with the required speeds and flat frequency responses up to the sub-THz range (<xref ref-type="bibr" rid="B38">Leuthold et al., 2022</xref>).</p>
<p>In the following we will describe the basic operation of plasmonic components, explore the evolution of their architectures and characterization, and review selected applications to microwave photonics.</p>
</sec>
<sec id="s2">
<title>2 Plasmonic modulators for microwave photonics</title>
<p>Microwave photonics (MWP) is the field of research in which photonics technologies or techniques are employed to perform or assist the generation, transport or processing of high speed electrical signals in the microwave, mm-wave or THz range (<xref ref-type="bibr" rid="B11">Capmany and Novak, 2007</xref>; <xref ref-type="bibr" rid="B60">Seeds et al., 2015a</xref>; <xref ref-type="bibr" rid="B49">Nagatsuma et al., 2016</xref>; <xref ref-type="bibr" rid="B41">Marpaung et al., 2019</xref>). It offers premium benefits mainly in terms of low losses, programmability, flexibility of operation and frequency independence, creating disruptive solutions for signal transport, generation, filtering especially over frequency regimes where electronics suffers most of high losses, low flexibility (e.g., reconfigurable, multi-octave filtering), or low quality factors (e.g., high frequency oscillators). However, since MWP solutions inherently rely on the conversion between the electrical and optical domains, their range of applicability is limited by the operating speeds of electrical to optical converters. The use of plasmonic technologies, therefore, may extend the speed limit at which the benefits of this disruptive technology can be applied, pushing it well into the THz range.</p>
<sec id="s2-1">
<title>2.1 Plasmonic phase modulator</title>
<p>Plasmonic modulators rely on the concept of surface plasmon photonics, which comprises the generation, guiding and detection of surface plasmon polaritons (SPPs). SPPs are electromagnetic surface waves that exist at dielectric-metal interfaces (<xref ref-type="bibr" rid="B39">Maier, 2007</xref>; <xref ref-type="bibr" rid="B37">Leuthold et al., 2013</xref>; <xref ref-type="bibr" rid="B42">Melikyan et al., 2014</xref>). Since the 1980s many research groups have focused on the modulation of SPPs with electrical signals (<xref ref-type="bibr" rid="B59">Schildkraut, 1988</xref>; <xref ref-type="bibr" rid="B50">Nikolajsen et al., 2004</xref>; <xref ref-type="bibr" rid="B10">Cai et al., 2009</xref>; <xref ref-type="bibr" rid="B13">Dionne et al., 2009</xref>; <xref ref-type="bibr" rid="B43">Melikyan et al., 2010</xref>; <xref ref-type="bibr" rid="B54">Randhawa et al., 2012</xref>). The first high-speed demonstration was given by <xref ref-type="bibr" rid="B42">Melikyan et al. (2014)</xref> who reported a plasmonic phase modulator only 29&#xa0;&#xb5;m-long and capable of high-speed operation over a bandwidth of more than 65&#xa0;GHz.</p>
<p>A typical plasmonic phase modulator (<xref ref-type="bibr" rid="B19">Haffner et al., 2016a</xref>), <xref ref-type="fig" rid="F1">Figure 1A</xref>, consists in two gold electrodes forming a metal-insulator-metal (MIM) slot waveguide only a few tens of nanometers wide. Light is fed to the plasmonic slot by means of a silicon strip waveguide. A linear taper transforms the photonic mode in the silicon nanowire to a SPP that propagates along the slot. The slot is filled with a non-linear organic material (<xref ref-type="bibr" rid="B27">Heni et al., 2016b</xref>; <xref ref-type="bibr" rid="B32">Jin et al., 2016</xref>) whose refractive index change &#x394;<italic>n</italic> is linear with the electric field in the slot (<xref ref-type="bibr" rid="B42">Melikyan et al., 2014</xref>), according to Pockels effect (<xref ref-type="bibr" rid="B7">Boyd, 2003</xref>). Therefore, the phase of the SPP can be modulated by the field applied to the electrodes, and light is then coupled back to the photonic waveguide mode by an identical output taper. By careful engineering of the architecture, high modulation indexes could be obtained thanks to the strong electrical and optical field confinement in the slot, and the excellent overlap of the optical and electrical field modes, as shown in <xref ref-type="fig" rid="F1">Figures 1B, C</xref> (<xref ref-type="bibr" rid="B42">Melikyan et al., 2014</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Colorized SEM images <bold>(A)</bold> of a plasmonic phase modulator. Magnitude of the RF <bold>(B)</bold> and optical <bold>(C)</bold> <italic>E</italic>
<sub>
<italic>x</italic>
</sub> field component in the cross section of the metal slot [from (<xref ref-type="bibr" rid="B42">Melikyan et al., 2014</xref>)]. <bold>(D)</bold> Colorized microscope pictures of silicon-plasmonic organic hybrid Mach-Zehnder modulator, where feeding waveguides and MMIs are realized in silicon. Plasmonic phase modulators are visible in both interferometer arms [from (<xref ref-type="bibr" rid="B28">Heni et al., 2015</xref>)]. <bold>(E)</bold> &#x201c;All-plasmonic&#x201d; MZM where also the splitting and combining functions are embedded in the plasmonic structure [from (<xref ref-type="bibr" rid="B21">Haffner et al., 2015b</xref>)]; <bold>(F)</bold> similar concept extended to an IO modulator [from (<xref ref-type="bibr" rid="B18">Haffner et al., 2015a</xref>)]. <bold>(G)</bold> Plasmonic MZM structure where grating couplers (GC), polarization rotators (PR) and interferometer (MZI) are realized in a single metal layer [from (<xref ref-type="bibr" rid="B5">Ayata et al., 2017</xref>)].</p>
</caption>
<graphic xlink:href="fphot-04-1067916-g001.tif"/>
</fig>
<p>For THz applications, the modulator bandwidth should be sufficiently large to operate over hundreds of GHz. This is possible thanks to the quasi-instantaneous nature of Pockels effect and the extremely small RC time constant of the structure. The small slot height (&#x223c;100&#x2013;150&#xa0;nm) and short length (in the order of 10&#xa0;&#x3bc;m) of the plasmonic waveguides allow to keep capacitances within the femtofarad range, while resistances are also very low thanks to the high conductivity of the metal electrodes. This yields a theoretical cutoff frequency in the THz range. Another unique advantage is the device&#x2019;s compactness, which has recently allowed monolithic integration on electronic integrated circuit platforms, while keeping a low footprint and cost (<xref ref-type="bibr" rid="B34">Koch et al., 2019</xref>; <xref ref-type="bibr" rid="B35">Koch et al., 2020</xref>; <xref ref-type="bibr" rid="B48">Moor et al., 2022</xref>).</p>
</sec>
<sec id="s2-2">
<title>2.2 Plasmonic Mach-Zehnder modulator</title>
<p>POH phase modulators can be employed for intensity modulation by arranging them in a photonic Mach-Zehnder interferometer structure, as shown by <xref ref-type="bibr" rid="B26">Heni et al. (2016a)</xref>, <xref ref-type="fig" rid="F1">Figure 1D</xref> (<xref ref-type="bibr" rid="B28">Heni et al., 2015</xref>; <xref ref-type="bibr" rid="B29">Hoessbacher et al., 2016</xref>). The modulator is driven in a push-pull configuration by means of a ground-signal-ground (G-S-G) RF probe as indicated by the labels in <xref ref-type="fig" rid="F1">Figure 1D</xref>. Plasmonic IQ modulators with 100 Gbaud capability were also reported (<xref ref-type="bibr" rid="B24">Heni et al., 2018</xref>).</p>
</sec>
<sec id="s2-3">
<title>2.3 Reducing the size</title>
<p>In the structures described above, most of the chip footprint is occupied by the photonic routing to and from the active plasmonic phase modulator sections. In an effort to reduce footprint even further, all-plasmonic modulators have been realized where also the splitting and combining functions needed for Mach-Zehnder operation are embedded in the plasmonic structure. <xref ref-type="bibr" rid="B21">Haffner et al. (2015b)</xref> have shown a Mach-Zehnder modulator (MZM) with a footprint of only 10&#xa0;&#xb5;m with insertion losses of 8.1&#xa0;dB tested at 72 Gbaud symbol rates. Suspended metallic bridges enabled electrical connections within the plasmonic structure, <xref ref-type="fig" rid="F1">Figure 1E</xref>. The same concept was later extended to a full IQ modulator (<xref ref-type="bibr" rid="B18">Haffner et al., 2015a</xref>), <xref ref-type="fig" rid="F1">Figure 1F</xref>. <xref ref-type="bibr" rid="B5">Ayata et al. (2017)</xref> demonstrated an all-metal structure without any photonic waveguides, where grating couplers, polarization rotators, and Mach-Zehnder region are realized on a single metal layer, <xref ref-type="fig" rid="F1">Figure 1G</xref>.</p>
</sec>
<sec id="s2-4">
<title>2.4 Characterizing the speed</title>
<p>The low RC constant of plasmonic structures promises cutoff frequencies in the THz range. Actual measurements of maximum speed of plasmonic modulator devices have been mostly limited by available measurement instrumentation. In an effort to experimentally assess the 3&#xa0;dB bandwidth of those devices, laboratory tests were conducted by using electrical driving signals from 75&#xa0;MHz up to 500&#xa0;GHz (<xref ref-type="bibr" rid="B9">Burla et al., 2019</xref>). In these experiments, a continuous-wave (CW) laser at 1547.5&#xa0;nm with 0 dBm optical power was fed into a plasmonic MZM. The frequency response to the electrical signals were then determined in two different setups that covered the frequency ranges 15&#x2013;70&#xa0;GHz and 200&#x2013;500&#xa0;GHz. Subsequently, the optical spectrum of the intensity-modulated carrier at the modulator output was measured using an optical spectrum analyzer (OSA). The amplitude ratio between the fundamental and first side lobe in the spectrum was then used to determine the relative response of the electrical signal onto the optical signal (<xref ref-type="bibr" rid="B4">Alloatti et al., 2011</xref>). The frequency response was then normalized with respect to the power of the electrical signal driving the modulator. Results show a flat frequency response up to 500&#xa0;GHz with a ripple that does not cross the &#x2212;3&#xa0;dB line compared to the low-frequency response, <xref ref-type="fig" rid="F2">Figure 2A</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Measured response of the plasmonic organic hybrid MZM over the 20&#x2013;70&#xa0;GHz and 200&#x2013;500&#xa0;GHz range. <bold>(B)</bold> 60&#xa0;GHz antenna with integrated plasmonic phase modulator <bold>(C)</bold>. The antenna provides a resonant enhancement of the impinging field up to a factor of approximately 90,000 [from (<xref ref-type="bibr" rid="B56">Salamin et al., 2018</xref>)]. <bold>(D)</bold> Colorized SEM image of the terahertz plasmonic mixer. The silicon (Si) Mach-Zehnder interferometer (MZI) is shown in blue and the antenna coupled plasmonic phase modulator (PPM) in yellow (magnified in the inset) (from [<xref ref-type="bibr" rid="B57">Salamin et al., 2019</xref>]). <bold>(E)</bold> Scenario representing an analog radio-over-fiber link connecting a remote THz antenna to a central office. <bold>(F)</bold> Experimental setup of the analog link, and <bold>(G)</bold> measured link gain in the 220&#x2013;325&#xa0;GHz range [from (<xref ref-type="bibr" rid="B9">Burla et al., 2019</xref>)].</p>
</caption>
<graphic xlink:href="fphot-04-1067916-g002.tif"/>
</fig>
</sec>
</sec>
<sec id="s3">
<title>3 Applications to microwave photonics</title>
<p>The broadband characteristics of plasmonic modulators create attractive potential for microwave photonics applications. Here we review two examples of applications to direct sub-THz to optical conversion and analog radio-over-fiber (RoF) links.</p>
<sec id="s3-1">
<title>3.1 Direct wireless-optical conversion</title>
<p>Converting a THz wireless signal to the optical domain is generally performed in two steps: first, the sub-THz signal is down-converted to baseband, e.g., using a Schottky barrier diode, and then up-converted to the optical domain by electro-optically modulating an optical carrier (<xref ref-type="bibr" rid="B22">Harter et al., 2019</xref>; <xref ref-type="bibr" rid="B64">Ummethala et al., 2019</xref>). In principle, this double-conversion process could be avoided by directly converting the sub-THz signal to the optical domain. Unfortunately, typical modulators are limited to bandwidths in the order of 100&#xa0;GHz, rendering the process very inefficient or simply impossible at sub-THz frequencies (<xref ref-type="bibr" rid="B38">Leuthold et al., 2022</xref>).</p>
<p>In 2015 a direct RF-to-optical conversion relying on plasmonic modulators was introduced (<xref ref-type="bibr" rid="B58">Salamin et al., 2015</xref>). This scheme used a modified plasmonic modulator whose electrodes were shaped into resonant antenna arms, designed to be resonant with the modulator structure and, at the same time, to efficiently collect the impinging electric field, <xref ref-type="fig" rid="F2">Figure 2B</xref>. This provides a built-in field enhancement in the slot compared to the impinging field up to a factor 90,000. Experiments were initially performed at 60&#xa0;GHz (<xref ref-type="bibr" rid="B58">Salamin et al., 2015</xref>); a direct, high-efficiency conversion of sub-THz to optical waves is possible thanks to the inherent resonant field enhancement occurring in the plasmonic slot, visible in <xref ref-type="fig" rid="F2">Figure 2C</xref>. We successfully transmitted 20 and 10 Gbit/s over wireless distances of 1 and 5&#xa0;m, respectively, at a carrier frequency of 60&#xa0;GHz (<xref ref-type="bibr" rid="B56">Salamin et al., 2018</xref>). More recently the concept has been successfully extended to the 300&#xa0;GHz band (<xref ref-type="bibr" rid="B57">Salamin et al., 2019</xref>), <xref ref-type="fig" rid="F2">Figure 2D</xref>. Additional demonstrations of efficient THz links enabled by plasmonic modulators include a 16&#xa0;m link carrying 50 Gbit/s at 288.5&#xa0;GHz (<xref ref-type="bibr" rid="B64">Ummethala et al., 2019</xref>). A more recent record demonstration enabled by plasmonic modulators is the transmission of 150 Gbit/s (line-rate) data over a transparent, optical-to-THz-to-optical wireless link operating at a carrier frequency of 228&#xa0;GHz and a length of 115&#xa0;m, without using any electrical driver amplifier at the modulator input (<xref ref-type="bibr" rid="B30">Horst et al., 2021</xref>; <xref ref-type="bibr" rid="B31">Horst et al., 2022</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Analog radio-over-fiber links for 6G and beyond</title>
<p>The workhorse of any microwave photonic system is the analog optical link (AOL) or microwave photonic link (MPL) (<xref ref-type="bibr" rid="B12">Cox, 2006</xref>; <xref ref-type="bibr" rid="B41">Marpaung et al., 2019</xref>). Recently, analog links started to play an increasingly important role in next-generation wireless communications, as they allow to remote mm-wave and sub-THz remote antenna units from central offices without compromising analog bandwidth, <xref ref-type="fig" rid="F2">Figure 2E</xref>. To explore the potential of plasmonics in this field, an analog RoF link was then implemented using a plasmonic modulator similar to <xref ref-type="fig" rid="F1">Figure 1D</xref>. The experimental setup used to emulate the described RoF link scenario is shown in <xref ref-type="fig" rid="F2">Figure 2F</xref>.</p>
<p>Direct THz-to-optical-to-THz conversion was achieved with a flat response over the 220&#x2013;325&#xa0;GHz range (&#x3e;100&#xa0;GHz bandwidth), only limited by the available electrical test equipment, as visible in <xref ref-type="fig" rid="F2">Figure 2G</xref>. Besides bandwidth and speed, a main figure of merit of analog link is the spurious-free dynamic range (SFDR). This is mainly influenced by the properties of the modulator, in particular losses and non-linearities. Intercept points (<xref ref-type="bibr" rid="B53">Pozar, 2009</xref>) of a plasmonic MZM was measured (third order input intercept point, IIP3 &#x3d; 18.9 dBm) to be on par with those of commercial modulators of equal half-wave voltage optimized for analog applications (IIP3 &#x3d; 19 dBm). The dynamic range of the link described above was also characterized and displayed an SFDR3 of 105.2&#xa0;dB/Hz<sup>2/3</sup> (<xref ref-type="bibr" rid="B9">Burla et al., 2019</xref>).</p>
<p>Phase noise is a critical aspect in any communication link, especially at high frequencies, because it directly impacts the achievable data rate and range. Its value strongly depends on the purity of the optical and electrical signal sources. In this work we do not directly address this aspect, widely discussed in literature (<xref ref-type="bibr" rid="B33">Khayatzadeh et al., 2014</xref>), but rather take into account the noise added in the system by the introduction of a photonic link by means of the noise figure parameter (NF). While in our first attempt we had not optimized the sub-THz link, leading to a high, RIN-dominated noise figure above 45&#xa0;dB (<xref ref-type="bibr" rid="B9">Burla et al., 2019</xref>), this value can be reduced by several orders of magnitude by reducing the fiber-to-chip coupling losses and using well-established approaches such as low biasing of the Mach-Zehnder modulator (<xref ref-type="bibr" rid="B40">Marpaung, 2009</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>Plasmonics has proven successful in enabling MWP functions in the THz range, for example, sub-THz analog optical links, direct THz-to-optical conversion by plasmonic mixers and, more recently, high data rate sub-THz wireless links.</p>
<p>Still, one of the main critics to plasmonic modulators is the inherent plasmonic loss of approximately 0.5&#xa0;dB/&#x3bc;m encountered in the plasmonic waveguide section. High losses are particularly detrimental in analog applications, where RF loss of a link scales as the square of the optical loss in the link (<xref ref-type="bibr" rid="B12">Cox, 2006</xref>). Despite that, as described before, thanks to the very high modulation efficiency in these devices, the length of plasmonic waveguide sections can be kept in the 10&#x2013;20&#xa0;&#x3bc;m range, thus minimizing the impact of plasmonic losses on the system performance. Furthermore, it should be stressed that losses have been constantly reduced over time. In the recent record demonstration of a 150&#xa0;Gb/s THz link transmitting information over 150&#xa0;m, a plasmonic modulator with a low fiber-to-fiber loss of 12&#xa0;dB was employed. There, approx. 4&#x2013;5&#xa0;dB losses were fundamental plasmonic losses; the largest fraction of the losses were attributed to fiber-to-chip coupling (approx. 6&#x2013;7&#xa0;dB) and photonic to plasmonic conversion losses (approx. 2&#xa0;dB). More recently, resonant plasmonic devices with as little as 1.5&#xa0;dB on-chip losses have emerged, as discussed in the following.</p>
<p>Another important aspect is power consumption. Record-low driving voltage links were reported, e.g., optical links at a bit rate of 120&#xa0;Gb/s NRZ-OOK below the HD-FEC limit have been demonstrated with only 178&#xa0;mVpp applied on a dual-drive plasmonic MZM (<xref ref-type="bibr" rid="B6">Baeuerle et al., 2019</xref>). In addition to these achievements, new efforts and techniques have been devised to reduce those losses even further, as described below.</p>
<sec id="s4-1">
<title>4.1 Simultaneous reduction of half-wave voltage and losses</title>
<p>In a MZM, half-wave voltage (<italic>V</italic>
<sub>&#x3c0;</sub>) indicates the voltage required to induce a 180&#xb0; phase shift between the arms and, in turn, the change from a maximum to a minimum of the modulator transmission function. A low value of this parameter is premium, as it indicates that the modulator can efficiently convert electrical voltage signals to corresponding variations of the optical intensity. Together with insertion loss <italic>L</italic>, <italic>V</italic>
<sub>&#x3c0;</sub> directly impacts energy consumption per bit in digital links (<xref ref-type="bibr" rid="B25">Heni et al., 2019</xref>) and gain in analog optical links, respectively (<xref ref-type="bibr" rid="B2">Ackerman et al., 2016</xref>).</p>
<p>Half-wave voltage is linked to the modulator length (and, in turn, to its loss) by the <italic>V</italic>
<sub>&#x3c0;</sub>
<italic>L</italic> parameter. At first instance, the loss can be reduced by shortening the modulator, and the <italic>V</italic>
<sub>&#x3c0;</sub> can be made smaller mainly by designing a longer modulator. The width of the plasmonic gap also has an effect on <italic>V</italic>
<sub>&#x3c0;</sub>, loss and modulation efficiency, as described in detail in (<xref ref-type="bibr" rid="B20">Haffner et al., 2016b</xref>). Several techniques allow to reduce half-wave voltage and loss simultaneously. Besides using electro-optic polymers with higher non-linearity, two approaches have been proven to be particularly effective for the scope.</p>
<sec id="s4-1-1">
<title>4.1.1 Leveraging material resonances</title>
<p>The first technique leverages material absorption resonances for reducing losses. It has been shown (<xref ref-type="bibr" rid="B17">Haffner et al., 2017</xref>) that the loss of plasmonic modulators can be reduced by a factor 2 and the voltage-length product by a factor 3, by operating the modulators in the vicinity of the material absorption resonances. In fact, when the optical carrier wavelength approaches the material absorption resonance, the electro-optic coefficient <italic>r</italic>
<sub>33</sub> (indicating the strength of the material non-linearity) increases by up to a factor 3; at the same time, however, the material losses (even if increased due to resonance) hardly contribute to the overall losses of the plasmonic waveguide. Therefore, operating the modulator near resonances allows an overall increase of <italic>r</italic>
<sub>33</sub> while not sensibly increasing the losses. This allows to implement shorter modulators (with as little as half of the loss) while keeping the same half-wave voltage, effectively reducing the <italic>V</italic>
<sub>&#x3c0;</sub>
<italic>L</italic>.</p>
</sec>
<sec id="s4-1-2">
<title>4.1.2 Structural resonant enhancement</title>
<p>A radically different approach is to explore alternative configurations compared to the Mach-Zehnder one. Low loss and low half-wave voltage can be simultaneously achieved using resonant structures. A demonstration of this was given in (<xref ref-type="bibr" rid="B16">Haffner et al., 2018</xref>). It was shown that high plasmonic losses can be bypassed with the concept of &#x201c;resonant switching.&#x201d; In this approach, a modulator is realized by using a plasmonic ring resonator structure coupled to a buried low-loss silicon photonic waveguide. Plasmonic waveguide losses can be selectively used or bypassed to achieve intensity modulation with insertion losses as low as 2.5&#xa0;dB, strong modulation, compact footprint and high speed, simultaneously. Speeds up to 100&#xa0;GHz have been reported and operation at 72 Gbit/s with voltage swings of 6.6&#xa0;Vp. Subsequent demonstrations further improved these results by using a silicon photonic racetrack resonator with a plasmonic phase modulator inserted in the racetrack cavity, able to operate at 100 Gbit/s NRZ with a 1.3&#xa0;Vp (<xref ref-type="bibr" rid="B45">Messner et al., 2020</xref>). More recently, OOK line rates of 220 Gbit/s and 408 Gbit/s 8PAM were demonstrated with a similar device, using driver voltages of only 0.6&#xa0;Vp (<xref ref-type="bibr" rid="B14">Eppenberger et al., 2021</xref>), on-chip losses (that is, removing the effect of fiber-to-chip coupling) of only 1.5&#xa0;dB (<xref ref-type="bibr" rid="B15">Eppenberger et al., 2022</xref>), and a measured bandwidth exceeding 110&#xa0;GHz.</p>
</sec>
</sec>
<sec id="s4-2">
<title>4.2 Future developments</title>
<p>A strong progress is also seen in the stability of operation over time and wide temperature ranges (<xref ref-type="bibr" rid="B25">Heni et al., 2019</xref>). Eppenberger et al. have reported stable operation at 80&#xb0;C for more than 70&#xa0;min, while the non-linear material itself showed a stable performance at 85&#xb0;C for over 2000&#xa0;h with less than 5% variance (<xref ref-type="bibr" rid="B15">Eppenberger et al., 2022</xref>).</p>
<p>Other research direction include the use of ferroelectric materials, such as barium titanate (BaTiO<sub>3</sub>, BTO), which are suitable for wafer-level processing and have proven long-term high-temperature stability (<xref ref-type="bibr" rid="B1">Abel et al., 2019</xref>; <xref ref-type="bibr" rid="B46">Messner et al., 2019</xref>). This, in turn, enables high optical power handling, which is of high importance in microwave photonics applications.</p>
<p>Plasmonic modulators have shown the capability to be integrated on a single metal layer (<xref ref-type="bibr" rid="B5">Ayata et al., 2017</xref>). This opens the possibility to embed them on many different technological platforms. For example, recent demonstrations showed successful integration on silicon nitride (<xref ref-type="bibr" rid="B36">Kohli et al., 2022</xref>) with operation up to 216 GBd symbol rates. This is a very versatile photonic technology, offering ultra-low optical losses together with negligible non-linear absorption in the telecom wavelengths. The addition of plasmonic modulators equips this attractive platform with a new key capability, thus opening it to many additional applications and functions that require extremely high speed modulation.</p>
</sec>
</sec>
</body>
<back>
<sec id="s5">
<title>Author contributions</title>
<p>CHo, WH, CHa, and YS designed the plasmonic devices employed in the MWP experiments reviewed in the manuscript. YF, CHo, WH, CHa, and YS fabricated the devices used in the MWP experiments. TW designed grating couplers of the devices used in the MWP experiments. MB conceived, designed and performed the speed characterization, non-linear distortion, dynamic range and analog link experiments. YS conceived, designed and performed the plasmonic mixer experiments. MB and HM performed sub-THz measurements used for the MZM characterization. YH and TB performed the high-speed wireless link experiments. DE and LD provided materials for the devices used in the MWP experiments. MB wrote the first draft of the manuscript. MB and JL wrote sections of the manuscript. JL conceived and supervised the projects. All authors contributed to manuscript revision, read, and approved the submitted version.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>MB acknowledges ERC Grant ELEPHANT (948624) and the SNSF Ambizione Grant 173996. We acknowledge the financial support by the European Commission under the Horizon 2020 project ERC PLASILOR under Grant 670478 and the Horizon 2020 project VERTIGO under Grant 822030. DLE and LRD acknowledge AFOSR grant FA9550-19-1-0069.</p>
</sec>
<ack>
<p>The authors acknowledge NTT Electronics for the UTC-PD used in the experiments and the Cleanroom Operations Teams of the Binnig and Rohrer Nanotechnology Center (BRNC) for their help and support.</p>
</ack>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of interest</title>
<p>CHo and WH are currently employed by Polariton Technologies Inc. CHa is employed by IMEC. DE was employed by NLM Photonics. TW is employed by Soxai Inc. JL acts as Scientific Advisor for Polariton Technologies Inc. Several patents exist in relation to the published research.</p>
<p>The remaining 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="s8">
<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>
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