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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1080275</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.1080275</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Brief Research Report</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>An exceed 60% efficiency Nd:YAG transparent ceramic laser with low attenuation loss effect</article-title>
<alt-title alt-title-type="left-running-head">Chang 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/fphy.2022.1080275">10.3389/fphy.2022.1080275</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Chang</surname>
<given-names>Jin-Quan</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="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2065006/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Shen</surname>
<given-names>Yu</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>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Bian</surname>
<given-names>Qi</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>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zong</surname>
<given-names>Nan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lv</surname>
<given-names>Ze</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="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bo</surname>
<given-names>Yong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Qin-Jun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Key Lab of Solid State Laser</institution>, <institution>Technical Institute of Physics and Chemistry</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Key Lab of Function Crystal and Laser Technology</institution>, <institution>Technical Institute of Physics and Chemistry</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>University of Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</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/1378456/overview">Zhenxu Bai</ext-link>, Hebei University of Technology, China</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/2070135/overview">Xingtao Chen</ext-link>, Nanchang University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2078258/overview">Wang Pengyuan</ext-link>, Dalian Institute of Chemical Physics (CAS), China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1811076/overview">Shibo Dai</ext-link>, Jinan University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2079504/overview">Yuan Liu</ext-link>, University of California, Santa Barbara, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yu Shen, <email>shenyu@mail.ipc.ac.cn</email>; Qi Bian, <email>bianqi@mail.ipc.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Optics and Photonics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>11</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1080275</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Chang, Shen, Bian, Zong, Lv, Bo and Peng.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Chang, Shen, Bian, Zong, Lv, Bo and Peng</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>Here, the attenuation loss effect and laser performance enhancement of Nd:YAG transparent ceramics were investigated. Using a 0.6 at.% Nd:YAG ceramic rod of 3&#xa0;mm diameter and 65&#xa0;mm length, the scattering coefficient and absorption coefficient at 1,064&#xa0;nm were measured to be 0.0001&#xa0;cm<sup>&#x2212;1</sup> and 0.0017&#xa0;cm<sup>&#x2212;1</sup>, respectively. For the 808-nm side-pumped laser experiment, an average output power of 44.9&#xa0;W was achieved with an optical-to-optical conversion efficiency of 26.4%, which was nearly the same with that of a 1&#xa0;at% single crystal. Adopting the 885-nm direct end-pumped scheme, the following laser tests demonstrated a high optical efficiency of 62.5% and maximum output power of 144.8&#xa0;W obtained at an absorbed pump power of 231.5&#xa0;W. This was until now the highest optical conversion efficiency acquired in an Nd:YAG ceramic laser to our knowledge. It proves that high-power and high-efficiency laser output could be generated by a high-optical quality Nd:YAG ceramic rod along with the 885-nm direct pumping technology.</p>
</abstract>
<kwd-group>
<kwd>attenuation loss</kwd>
<kwd>side-pumped</kwd>
<kwd>end-pumped</kwd>
<kwd>Nd:YAG ceramic laser</kwd>
<kwd>optical conversion efficiency</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Polycrystalline transparent ceramic materials have become an attractive alternative to widely used single crystals because of their favorable characteristics, such as higher doping concentration, larger scale, more function design freedom, easier manufacture, low cost, and especially superior resistance to fracture [<xref ref-type="bibr" rid="B1">1</xref>]. Since an effective laser output with polycrystalline Nd:YAG ceramics was first performed in 1995 [<xref ref-type="bibr" rid="B2">2</xref>], numerous attempts have been made in the field of high-power and high-efficiency Nd:YAG ceramic solid-state lasers. These include the output power breaking the 1&#xa0;kW mark in 2002 and then the remarkable demonstration of more than 100&#xa0;kW from a YAG ceramic laser system in 2009 [<xref ref-type="bibr" rid="B3">3</xref>]. Also, for middle- and high-power laser oscillation, increased optical conversion efficiencies from 14.5% to 52.5% have been reported one by one [<xref ref-type="bibr" rid="B4">4</xref>&#x2013;<xref ref-type="bibr" rid="B7">7</xref>]. Among the important milestones, the gain medium with high optical quality is the key factor for highly efficient laser oscillation. Therefore, optical properties including optical absorption, emission spectra, and fluorescence lifetime have been widely studied for Nd:YAG ceramics [<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>], and very similar results were obtained with those of Nd:YAG single crystals. However, the well-known attenuation loss that has enormous influence on the laser performance is rarely available.</p>
<p>Attenuation loss mainly includes the scattering and absorption effect caused by residual pores, grain boundary phases, secondary phases, and impurity ions, which will prohibit the laser output. In 1998, Ikesue et al. showed the scattering coefficients of Nd:YAG ceramics obtained from Fresnel&#x2019;s equation by an optical spectroscopy method [<xref ref-type="bibr" rid="B11">11</xref>]. Subsequently, Li et al. presented the absorption coefficients of Nd:YAG ceramics at the laser wavelength [<xref ref-type="bibr" rid="B12">12</xref>]. Unfortunately, they did not give a precise distinction between the scattering coefficients and the absorption coefficients. Recently, Boulesteix et al. computed the light scattering of Nd:YAG ceramics according to the Mie light scattering theory. However, the absorption effect was ignored [<xref ref-type="bibr" rid="B13">13</xref>]. Providing accurate measurement of the scattering and absorption coefficients could promote the material&#x2019;s research, such as laser experiments and fabrication technology.</p>
<p>This paper introduced an effective measured method of light attenuation loss by means of an integrating sphere technique, which is used to analyze the optical properties of the Nd:YAG ceramic and crystal. A 0.6 at.%-doped Nd:YAG ceramic sample has good optical quality with a scattering coefficient of 0.0001&#xa0;cm<sup>&#x2212;1</sup> and an absorption coefficient of 0.0017&#xa0;cm<sup>&#x2212;1</sup>. Here, an 808-nm laser diode (LD) side-pumped laser configuration was developed, delivering 26.4% of optical efficiency with 44.9&#xa0;W of output power. Moreover, an end-pumped linear cavity with an 885-nm LD pump was designed to improve the optical conversion efficiency. As a result, a maximum output power of 144.8&#xa0;W was obtained under the absorbed pump power of 231.5&#xa0;W. The corresponding optical efficiency was calculated to be as high as 62.5%, which is a significant improvement for high-efficiency Nd:YAG ceramic lasers.</p>
</sec>
<sec id="s2">
<title>Absorption and scattering coefficient measurement</title>
<p>To assess the overall optical quality of the material, the measurements of light scattering and absorption were carried out at 1,064&#xa0;nm, based on a homemade scattering loss analyzer with an integrating sphere. The measurement configuration is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. When a laser beam is nearly at normal incidence upon the samples mounted in the center of the integrating sphere, part of the radiation is reflected, part is scattered, part is absorbed, and the rest is transmitted. The incident laser power was denoted to be <italic>P</italic>
<sub>
<italic>in</italic>
</sub>, and the scattering power and absorption power in the material were described as <italic>P</italic>
<sub>
<italic>s</italic>
</sub> and <italic>P</italic>
<sub>
<italic>a</italic>
</sub>, respectively. The transmission power passing through the samples was defined as <italic>P</italic>
<sub>
<italic>T</italic>
</sub>, and the Fresnel reflection coefficient of the front and back surfaces of the samples was denoted to be <italic>r</italic>. According to the law of Fresnel reflection and Lambert&#x2013;Beer [<xref ref-type="bibr" rid="B14">14</xref>], the correlated relationship of the aforementioned power distributions can be written as<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable columnalign="left">
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<label>(1)</label>
</disp-formula>where <italic>&#x3b1;</italic> is the attenuation coefficient of the sample and <italic>L</italic> is the length of the sample. Considering the power loss along the beam propagation in the samples, it is evident that the scattering power <italic>P</italic>
<sub>
<italic>s</italic>
</sub> and absorption power <italic>P</italic>
<sub>
<italic>a</italic>
</sub> inside the sample are caused by the scattering and absorption mechanisms, respectively. Thus, we could obtain <italic>&#x3b1; &#x3d; &#x3b1;</italic>
<sub>
<italic>a</italic>
</sub>
<italic>&#x2b;&#x3b1;</italic>
<sub>
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</sub> and <italic>P</italic>
<sub>
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</sub>
<italic>/P</italic>
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<sub>
<italic>a</italic>
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<italic>/&#x3b1;</italic>
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<sub>
<italic>a</italic>
</sub> and <italic>&#x3b1;</italic>
<sub>
<italic>s</italic>
</sub> are the absorption coefficient and the scattering coefficient, respectively. After simplifying <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>, we obtain<disp-formula id="e2">
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</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Experimental schematic diagram for the scattering coefficient measurements.</p>
</caption>
<graphic xlink:href="fphy-10-1080275-g001.tif"/>
</fig>
<p>where <italic>P</italic>
<sub>
<italic>in</italic>
</sub> and <italic>P</italic>
<sub>
<italic>T</italic>
</sub> were measured by a power meter PM (NOVA II OPHIR). The scattered light intensity with and without the samples was collected using a calibrated photoelectric detector PD (Thorlabs Inc., DET200) mounted at the top of the integrating sphere, recorded as <italic>P</italic>
<sub>
<italic>1</italic>
</sub> and <italic>P</italic>
<sub>
<italic>2</italic>
</sub>, respectively. Also, the output aperture of the integrating sphere was opened for measuring <italic>P</italic>
<sub>
<italic>1</italic>
</sub> and closed for measuring <italic>P</italic>
<sub>
<italic>2</italic>
</sub>. Here, the value of <italic>P</italic>
<sub>
<italic>s</italic>
</sub>
<italic>/P</italic>
<sub>
<italic>in</italic>
</sub> is equal to the ratio of <italic>P</italic>
<sub>
<italic>1</italic>
</sub>
<italic>/P</italic>
<sub>
<italic>2</italic>
</sub>. By solving <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>, the absorption coefficient <italic>&#x3b1;</italic>
<sub>
<italic>a</italic>
</sub> and the scattering coefficient <italic>&#x3b1;</italic>
<sub>
<italic>s</italic>
</sub> could be achieved.</p>
<p>In the measurement, two Nd:YAG ceramic samples with 0.6 at.% and 1.0 at.% doping concentrations and a Nd:YAG single crystal with 1.0 at.% doping concentration were employed, which were fabricated by the Nanyang Technological University. Each sample has a size of 3&#xa0;mm diameter and 65&#xa0;mm length, and both facets of samples are polished and antireflection-coated at 1,064&#xa0;nm to reduce the surface reflection. Therefore, the reflectivity <italic>r</italic> at the surface of the sample is assumed to be about 0.1%.</p>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> shows the corresponding scattering coefficient and absorption coefficient of each sample. Obviously, the crystal sample has the highest optical quality with the smallest attenuation coefficient of 0.0017&#xa0;cm<sup>&#x2212;1</sup>, where the scattering coefficient and absorption coefficient were measured to be 0.0011&#xa0;cm<sup>&#x2212;1</sup> and 0.0006&#xa0;cm<sup>&#x2212;1</sup>, respectively. Compared with the 1&#xa0;at.% Nd:YAG ceramic rod, the 0.6 at.% Nd:YAG ceramic rod with an attenuation loss of 0.0018&#xa0;cm<sup>&#x2212;1</sup> is nearly the same as the single crystal, which could be easier to produce high-power laser output. In addition, the existence of low impurity ions during the preparation process is inevitable, which results in a large absorption coefficient with a same order of magnitude as the scattering coefficient and could not be neglected in the defects of the ceramic materials. The aforementioned data indicate that ceramic YAG is essentially identical to single-crystal YAG in optical properties measured, especially for the low scattering and absorption losses.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Measured values and correlative results at 1,064&#xa0;nm of different samples.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Parameters</th>
<th colspan="3" align="left">Samples</th>
</tr>
<tr>
<th align="left">S1</th>
<th align="left">S2</th>
<th align="left">S3</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Material</td>
<td align="left">Ceramic</td>
<td align="left">Ceramic</td>
<td align="left">Crystal</td>
</tr>
<tr>
<td align="left">Nd<sup>3&#x2b;</sup>-doped concentration (at%)</td>
<td align="left">0.6</td>
<td align="left">1.0</td>
<td align="left">1.0</td>
</tr>
<tr>
<td align="left">Ratio of transmittance (<italic>P</italic>
<sub>
<italic>T</italic>
</sub>
<italic>/P</italic>
<sub>
<italic>in</italic>
</sub>, %)</td>
<td align="left">0.986</td>
<td align="left">0.981</td>
<td align="left">0.987</td>
</tr>
<tr>
<td align="left">Ratio of scattering (<italic>P</italic>
<sub>
<italic>s</italic>
</sub>
<italic>/P</italic>
<sub>
<italic>in</italic>
</sub>, %)</td>
<td align="left">0.0007</td>
<td align="left">0.009</td>
<td align="left">0.007</td>
</tr>
<tr>
<td align="left">Scattering coefficient (<italic>&#x3b1;</italic>
<sub>
<italic>s</italic>
</sub>, cm<sup>&#x2212;1</sup>)</td>
<td align="left">0.0001</td>
<td align="left">0.0014</td>
<td align="left">0.0011</td>
</tr>
<tr>
<td align="left">Absorption coefficient (<italic>&#x3b1;</italic>
<sub>
<italic>a</italic>
</sub>, cm<sup>&#x2212;1</sup>)</td>
<td align="left">0.0017</td>
<td align="left">0.0012</td>
<td align="left">0.0006</td>
</tr>
<tr>
<td align="left">Attenuation coefficient (<italic>&#x3b1;</italic>, cm<sup>&#x2212;1</sup>)</td>
<td align="left">0.0018</td>
<td align="left">0.0026</td>
<td align="left">0.0017</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3">
<title>Laser experiment</title>
<p>In order to evaluate the laser performance of the ceramic samples compared with the Nd:YAG crystal, a compact flat&#x2013;flat cavity was adopted, and the Nd:YAG ceramic was side-pumped with an LD at a wavelength of 808&#xa0;nm for high pump absorption efficiency. The laser experimental configuration is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The samples were surrounded by arrays of diode lasers with a total pump power of 180&#xa0;W. The Nd:YAG rod and LD arrays were cooled to 25&#xb0;C with flowing deionized water to match the pump radiation wavelength of the LD and the 808.5&#xa0;nm absorption spectrum of Nd:YAG. The mirror M1 was coated with high reflectance (HR) at 1,064&#xa0;nm, and the mirror M2 was an output coupler with partial reflectivity of 80% at 1,064&#xa0;nm. The 1,064&#xa0;nm output power was monitored using the PM. The total cavity length is about 70&#xa0;mm.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Experimental setup of the 808-nm LD side-pumped Nd:YAG laser.</p>
</caption>
<graphic xlink:href="fphy-10-1080275-g002.tif"/>
</fig>
<p>The average laser output power of three Nd:YAG samples as a function of LD pump power at 808&#xa0;nm is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. The output power increases approximately linearly with the increase in pump power and does not show any roll-over effect, indicating that higher output can be achieved with increasing pump energy continuously. With maximum pump power of 170 W, 44.9 W and 46.2&#xa0;W laser outputs were obtained at 1,064&#xa0;nm for the 0.6 at.% Nd:YAG ceramic and 1 at.% Nd:YAG crystal, respectively. The corresponding optical-to-optical conversion efficiencies are 26.4% and 27.2%. The optical efficiency of the 0.6 at.% ceramic laser is only 0.8% less than that of the single-crystal laser, due to the difference in the absorbed pump power caused by different neodymium concentrations. It was proven, from the aspect of output power and laser efficiency, that the ceramic and crystal materials share almost the same laser characteristics. For the 1&#xa0;at.%-doped ceramic sample, a laser output of 38.6&#xa0;W was lower than that of the same doping concentration of the crystal because of the largest attenuation loss coefficient and serious thermal effect.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Output power of the 1,064-nm laser versus pump power at 808&#xa0;nm.</p>
</caption>
<graphic xlink:href="fphy-10-1080275-g003.tif"/>
</fig>
<p>The quantum defect between the pump and laser emission wavelength is one of the major factors that limit the LD-pumped solid-state lasers from generating high power and high efficiency [<xref ref-type="bibr" rid="B15">15</xref>]. Compared to traditional 808&#xa0;nm pumping, adopting 885-nm diodes will have a reduction in the thermal load by nearly 30% and will thus lead to an improvement in the overall laser efficiency. The 0.6 at.% Nd:YAG ceramic rod was employed as the measured sample, and an end-pumped plane&#x2013;plane linear cavity was designed. <xref ref-type="fig" rid="F4">Figure 4</xref> shows the schematic diagram of the laser oscillation measurement. An 885-nm fiber-coupled diode laser (DILAS, 400&#xa0;&#x3bc;m diameter and 0.22 NA) was used as the pump source, delivering the maximum power of 250&#xa0;W. It is focused into the ceramic sample using a coupling lens of 1:1. The laser sample was cooled by the re-circulating filtered water at 16&#xb0;C, in order to effectively alleviate the thermal effect of the gain medium. The input mirror M1 was coated with a high-transmission film at a pump wavelength of 885&#xa0;nm and an HR film at 1,064&#xa0;nm. Also, the output coupler M2 has a transmission of 20% at 1,064&#xa0;nm. The cavity length of the resonator is about 73&#xa0;mm to keep the cavity mode in the sample matching the pump mode. The mirror M3 is adopted to separate the pump light and output laser.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Experimental setup of 885-nm LD end-pumped Nd:YAG laser.</p>
</caption>
<graphic xlink:href="fphy-10-1080275-g004.tif"/>
</fig>
<p>The optical efficiency for a reasonable comparison could be calculated based on the absorbed pump power. First, the absorbed pump power was estimated by monitoring the pump power passing through the sample at different incident levels, as shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. The absorption power increased and the absorption coefficient decreased with increasing the input pump power. For instance, the absorption coefficient varied from 0.6&#xa0;cm<sup>&#x2212;1</sup> to 0.43&#xa0;cm<sup>&#x2212;1</sup> and corresponds to a pump absorption of 97.9% and 94%, which is attributed to the absorption saturation behavior of a lower doping concentration.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Absorbed power versus incident pump power at 885&#xa0;nm.</p>
</caption>
<graphic xlink:href="fphy-10-1080275-g005.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F6">Figure 6</xref>, the output power at 1,064&#xa0;nm increased linearly in accordance with the absorbed pump power. At the absorbed pump power of 231.5&#xa0;W, the maximum output power was as high as 144.8&#xa0;W, with a corresponding optical-to-optical conversion efficiency of 62.5%. The optical conversion efficiency versus absorbed pump power is also given in <xref ref-type="fig" rid="F6">Figure 6</xref>. Actually, the maximum conversion efficiency of about 64.6% was obtained at 205&#xa0;W of absorbed pumping. To the best of our knowledge, this is the highest optical conversion efficiency of all 1,064-nm laser systems with end-pumped laser modules. The main reason for achieving such high efficiency is the lower quantum defect for 885&#xa0;nm pumping in combination with the effect of good mode matching and high pump absorption for an end-pumped scheme. The decrease in efficiency after 205&#xa0;W was caused by the serious thermal effect on the laser ceramic rod for high-power operation.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Output power of the 1,064-nm laser versus absorbed power at 885&#xa0;nm.</p>
</caption>
<graphic xlink:href="fphy-10-1080275-g006.tif"/>
</fig>
</sec>
<sec id="s4">
<title>Discussion and conclusion</title>
<p>In conclusion, the comparison of the laser performance of the Nd:YAG ceramics and crystal as well as attenuation loss are introduced and analyzed, based on an integrating sphere and 808-nm LD side-pumped laser experiment. As a result, the Nd:YAG ceramic could be processed to access almost identical optical properties with the single crystal. Moreover, a 0.6 at.% Nd:YAG ceramic rod was further investigated for producing high optical conversion efficiency, by means of 885-nm LD direct end-pumped technology. Under an absorbed power of 231.5&#xa0;W, the maximum output power of 144.8&#xa0;W was obtained with an optical efficiency of 62.5%, which is the highest efficiency the 1,064-nm Nd:YAG ceramic laser ever reported.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material; further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>YS conceived the project. J-QC conducted the experiment. QB wrote the manuscript and all authors contributed to discussions during its preparation. YB and Q-JP supervised the project.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work was Supported by the National Key Research and Development Program of China(key special projects, Young Scientist Program, No. 2022YFB3607900 ), Key Laboratory Foundation of Chinese Academy of Sciences, Key Lab of Solid State Laser(No. CXJJ-22S020 ), the National Science Foundation for Young Scientists of China (Grant No. 11504389, 51890864 and 62005295).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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="s9">
<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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