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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmats.2019.00101</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Gas Sensing by Microwave Transduction: Review of Progress and Challenges</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Fangxin</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/726346/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Zheng</surname> <given-names>Yangong</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/645113/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Hua</surname> <given-names>Changzhou</given-names></name>
<xref ref-type="corresp" rid="c002"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/727649/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Jian</surname> <given-names>Jiawen</given-names></name>
</contrib>
</contrib-group>
<aff><institution>Faculty of Electrical Engineering and Computer Science, Ningbo University</institution>, <addr-line>Ningbo</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Xiaogan Li, Dalian University of Technology (DUT), China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Jianxin Yi, University of Science and Technology of China, China; Ding Wang, University of Shanghai for Science and Technology, China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Yangong Zheng <email>zhengyangong&#x00040;nbu.edu.cn</email></corresp>
<corresp id="c002">Changzhou Hua <email>huachangzhou&#x00040;nbu.edu.cn</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Functional Ceramics, a section of the journal Frontiers in Materials</p></fn></author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>05</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="collection">
<year>2019</year>
</pub-date>
<volume>6</volume>
<elocation-id>101</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>03</month>
<year>2019</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>04</month>
<year>2019</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2019 Li, Zheng, Hua and Jian.</copyright-statement>
<copyright-year>2019</copyright-year>
<copyright-holder>Li, Zheng, Hua and Jian</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>Microwave transduction is a novel research field in gas sensing owing to its simplicity, low cost, passive, and non-contact operations that indicate a huge potential in applications for gas sensing. At present, the study of microwave gas sensors is limited to testing the macroscopic performance of materials. Although the permittivity change of materials is the reason for microwave transduction, the knowledge of the fundamental mechanism is an urgent requirement for boosting the development of microwave gas sensors. In this review, we summarized the presented progresses of microwave gas sensors, including the performance of the different materials and propagative structures, as well as their sensitive signal. We have attempted to explain the sensitive mechanism of these materials, discuss the function of the propagative structure, and analyze the sensitive signal extracted from the parameters of electromagnetic waves. Finally, the challenges in the study of sensitive materials and propagative structures used in microwave gas sensors are analyzed. It is clear from the published literatures that microwave transduction provide a new route for gas detection, and it is expected that commercial manifestation will occur. The future research on microwave gas sensors will continue to exploit their sensitive materials and propagative structure for different applications. The understanding of the microscopic polarization interactions with gases will assist in and guide the fabrication of high-performance microwave gas sensors in the future.</p></abstract>
<kwd-group>
<kwd>gas sensor</kwd>
<kwd>microwave transduction</kwd>
<kwd>polarization</kwd>
<kwd>propagative structure</kwd>
<kwd>electromagnetic wave</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content></contract-sponsor>
<contract-sponsor id="cn002">Natural Science Foundation of Ningbo<named-content content-type="fundref-id">10.13039/100007834</named-content></contract-sponsor>
<counts>
<fig-count count="12"/>
<table-count count="1"/>
<equation-count count="2"/>
<ref-count count="63"/>
<page-count count="12"/>
<word-count count="7294"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>In the recent decade, increasing interest in detecting gases and their composition have resulted in intensive studies applied to various fields, such as industrial emission control, household security, medical diagnostics, and environmental monitoring (Korotcenkov, <xref ref-type="bibr" rid="B29">2012</xref>). Generally, gas sensing is the process of converting gas sensitive interactions to a measurable signal, which involves two different processes (Yamazoe and Shimanoe, <xref ref-type="bibr" rid="B54">2009</xref>). The first process is to sense gas via physical or chemical interactions with sensitive materials, which is called the sensitive process; the second process is to transduce the interactions to signals, which is called transduction. Various transduction technologies have been employed in the gas sensors, e.g., conductometric transduction converts redox reactions of gas molecules into electrical signals (Xing et al., <xref ref-type="bibr" rid="B52">2015</xref>; Wang et al., <xref ref-type="bibr" rid="B48">2019</xref>); optical transduction utilizes infrared spectral characteristics of gas molecules (Babeva et al., <xref ref-type="bibr" rid="B3">2017</xref>); mass transduction measures weight of gas molecules using a microbalance, and converts it to a vibration frequency signal (Tu et al., <xref ref-type="bibr" rid="B47">2015</xref>; Lv et al., <xref ref-type="bibr" rid="B32">2018</xref>); electrochemical transduction is based on electron transfer between electrolyte and gas molecules (Zheng et al., <xref ref-type="bibr" rid="B63">2015</xref>).</p>
<p>Although the performance parameters (sensitivity, selectivity, and stability) of gas sensors based on conventional transduction were constantly improved (Moos et al., <xref ref-type="bibr" rid="B34">2009</xref>; Kim et al., <xref ref-type="bibr" rid="B28">2013</xref>), the use of the electromagnetic waves for sensing purposes is an actively researched approach with considerable potential for commercialization (Alshamma&#x00027;a et al., <xref ref-type="bibr" rid="B1">2014</xref>). In particular, microwave is an important frequency band for communication and remote sensing applications; it is a fast-growing technology and has been successfully applied in industrial and medical applications (Barochi et al., <xref ref-type="bibr" rid="B9">2011</xref>).</p>
<p>The microwave transduction is based on the dielectric response of sensitive materials incorporated with propagative structures in the presence of gas that is subjected to a microwave signal (Fonseca et al., <xref ref-type="bibr" rid="B23">2015b</xref>). Batteryless and wireless operations are suggested to be the major advantages of microwave gas sensors; however, the lack of fundamental understanding of the sensitive mechanism hinders the development of microwave gas sensors. Several challenges were presented in the study of microwave transduction. There is the need of a review to focus on the presented progress and challenges of microwave gas sensors.</p>
<p><xref ref-type="table" rid="T1">Table 1</xref> summaries the reported microwave gas sensor. This review article will start by describing the working principles of the microwave gas sensor. Then, the current progress will be discussed corresponding to the sensitive material, propagative structure, and sensitive signal. Subsequently, the difficulties and challenges will be discussed. Furthermore, an outlook on the future development of microwave gas sensor will be presented.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Summary of microwave gas sensors on their materials, targeted gas, propagative structure and signal.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left" colspan="2"><bold>Materials</bold></th>
<th valign="top" align="left"><bold>Targeted gas</bold></th>
<th valign="top" align="left"><bold>Propagative structure</bold></th>
<th valign="top" align="left"><bold>Signal</bold></th>
<th valign="top" align="left"><bold>References</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Metal oxide</td>
<td valign="top" align="left">TiO<sub>2</sub></td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Microstrip line</td>
<td valign="top" align="left">S parameter (S11)</td>
<td valign="top" align="left">Bailly et al., <xref ref-type="bibr" rid="B6">2016a</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">TiO<sub>2</sub></td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Microstrip interdigital capacitor</td>
<td valign="top" align="left">S parameter (S11 and S21)</td>
<td valign="top" align="left">Bailly et al., <xref ref-type="bibr" rid="B7">2016b</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Fe<sub>2</sub>O<sub>3</sub></td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Coplanar waveguide</td>
<td valign="top" align="left">Reflection coefficient</td>
<td valign="top" align="left">Bailly et al., <xref ref-type="bibr" rid="B8">2016c</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">SrTiO<sub>3</sub></td>
<td valign="top" align="left">Ethanol and toluene</td>
<td valign="top" align="left">Transmission coaxial line</td>
<td valign="top" align="left">Reflection coefficient</td>
<td valign="top" align="left">Rossignol et al., <xref ref-type="bibr" rid="B41">2010</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">SnO<sub>2</sub></td>
<td valign="top" align="left">Hydrogen</td>
<td valign="top" align="left">Waveguide phase shifter</td>
<td valign="top" align="left">S parameter (S21)</td>
<td valign="top" align="left">Fei et al., <xref ref-type="bibr" rid="B20">2011</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">CuO, SnO<sub>2</sub> and TiO<sub>2</sub></td>
<td valign="top" align="left">Acetone, ethanol and methanol</td>
<td valign="top" align="left">a single coupled-line section</td>
<td valign="top" align="left">Transmission coefficient</td>
<td valign="top" align="left">Rydosz et al., <xref ref-type="bibr" rid="B42">2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Zeolite</td>
<td valign="top" align="left">Silicalite-1 and NaX</td>
<td valign="top" align="left">Toluene</td>
<td valign="top" align="left">Coplanar waveguide</td>
<td valign="top" align="left">Reflection coefficient</td>
<td valign="top" align="left">Fonseca et al., <xref ref-type="bibr" rid="B21">2014</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Zeolite 13X</td>
<td valign="top" align="left">Carbon dioxide and methane</td>
<td valign="top" align="left">Microstrip resonator</td>
<td valign="top" align="left">Resonant frequency shift</td>
<td valign="top" align="left">Zarifi et al., <xref ref-type="bibr" rid="B59">2017</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Zeolite Y</td>
<td valign="top" align="left">Toluene</td>
<td valign="top" align="left">Coplanar waveguide</td>
<td valign="top" align="left">Reflection coefficien</td>
<td valign="top" align="left">Fonseca et al., <xref ref-type="bibr" rid="B22">2015a</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Zeolite 13X and MOF</td>
<td valign="top" align="left">Carbon dioxide</td>
<td valign="top" align="left">Planar active-resonator</td>
<td valign="top" align="left">Resonant frequency shift</td>
<td valign="top" align="left">Zarifi et al., <xref ref-type="bibr" rid="B57">2018</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Fe-zeolite</td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Planar microstrip ring</td>
<td valign="top" align="left">S parameter (S11)</td>
<td valign="top" align="left">Bogner et al., <xref ref-type="bibr" rid="B11">2017</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">ZSM-5</td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Resonant cavity</td>
<td valign="top" align="left">S parameter (S11)</td>
<td valign="top" align="left">Rei&#x000DF; et al., <xref ref-type="bibr" rid="B38">2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Organic</td>
<td valign="top" align="left">CNTs</td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Microstrip circular disk</td>
<td valign="top" align="left">Resonant frequency shift</td>
<td valign="top" align="left">Chopra et al., <xref ref-type="bibr" rid="B14">2002</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">CNTs</td>
<td valign="top" align="left">Methane</td>
<td valign="top" align="left">Coplanar waveguide</td>
<td valign="top" align="left">S parameter (S21)</td>
<td valign="top" align="left">Cismaru et al., <xref ref-type="bibr" rid="B15">2016</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">PDMS</td>
<td valign="top" align="left">Acetone</td>
<td valign="top" align="left">Coplanar strip</td>
<td valign="top" align="left">Resonant frequency shift</td>
<td valign="top" align="left">Zarifi et al., <xref ref-type="bibr" rid="B60">2015b</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Cobalt phthalocyanine</td>
<td valign="top" align="left">Ammonia and toluene</td>
<td valign="top" align="left">Microstrip line</td>
<td valign="top" align="left">Reflection coefficient</td>
<td valign="top" align="left">Rossignol et al., <xref ref-type="bibr" rid="B39">2012</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Cobalt phthalocyanine</td>
<td valign="top" align="left">Ammonia</td>
<td valign="top" align="left">Coplanar grounded waveguide</td>
<td valign="top" align="left">Reflected coefficient</td>
<td valign="top" align="left">Barochi et al., <xref ref-type="bibr" rid="B9">2011</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Activated carbon and polymer-based bead</td>
<td valign="top" align="left">Butoxyethanol</td>
<td valign="top" align="left">Resonant cavity</td>
<td valign="top" align="left">Resonant frequency shift</td>
<td valign="top" align="left">Zarifi et al., <xref ref-type="bibr" rid="B56">2015a</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">PEDOT&#x02013;CNTs</td>
<td valign="top" align="left">Ethanol</td>
<td valign="top" align="left">Microstrip line</td>
<td valign="top" align="left">S parameter (S21)</td>
<td valign="top" align="left">Bahoumina et al., <xref ref-type="bibr" rid="B4">2017</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Cobalt phthalocyanine</td>
<td valign="top" align="left">Ammonia and toluene</td>
<td valign="top" align="left">Coplanar waveguide</td>
<td valign="top" align="left">Reflection coefficient</td>
<td valign="top" align="left">Rossignol et al., <xref ref-type="bibr" rid="B40">2013</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">CNTs</td>
<td valign="top" align="left">Nitrogen</td>
<td valign="top" align="left">Coplanar waveguide</td>
<td valign="top" align="left">S parameter (S21)</td>
<td valign="top" align="left">Dragoman et al., <xref ref-type="bibr" rid="B17">2007</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Polymethylsiloxane-graft-phthalocyanine</td>
<td valign="top" align="left">Acetone</td>
<td valign="top" align="left">Six-port reflectometer</td>
<td valign="top" align="left">S parameter (S11)</td>
<td valign="top" align="left">Staszek et al., <xref ref-type="bibr" rid="B44">2017</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Pt-decorated reduced graphene oxide</td>
<td valign="top" align="left">Hydrogen</td>
<td valign="top" align="left">Antenna</td>
<td valign="top" align="left">Reflectance properties</td>
<td valign="top" align="left">Lee et al., <xref ref-type="bibr" rid="B31">2015</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Carboxyl group functionalized polypyrrole</td>
<td valign="top" align="left">Ammonia and acetic acid</td>
<td valign="top" align="left">Antenna</td>
<td valign="top" align="left">Reflectance properties</td>
<td valign="top" align="left">Jun et al., <xref ref-type="bibr" rid="B26">2016</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Graphene</td>
<td valign="top" align="left">Nitrogen dioxide</td>
<td valign="top" align="left">Dielectric resonator</td>
<td valign="top" align="left">Central frequency, linewidth (full width at half maximum)</td>
<td valign="top" align="left">Black et al., <xref ref-type="bibr" rid="B10">2018</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Fluoroalcohol polysiloxanes and polyhydroxyethyl-methacrylate</td>
<td valign="top" align="left">Acetone and isopropanol</td>
<td valign="top" align="left">Dielectric resonant</td>
<td valign="top" align="left">S parameter (S11)</td>
<td valign="top" align="left">Chen and Mansour, <xref ref-type="bibr" rid="B12">2018</xref></td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Beaded activated carbon</td>
<td valign="top" align="left">VOCs</td>
<td valign="top" align="left">Open-ended resonator coupled to input/output microstrip transmission lines</td>
<td valign="top" align="left">Resonant frequency</td>
<td valign="top" align="left">Fayaz et al., <xref ref-type="bibr" rid="B19">2019</xref></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2">
<title>Working Principle of Microwave Transduction</title>
<p>The evolving research on microwave transduction at frequencies ranging from 300 MHz to 300 GHz demonstrates that gas sensing is based on the phenomena of propagation and reflection of an incident electromagnetic wave in sensitive material. As the characteristics (modulus and phase) of the reflected and transmitted electromagnetic waves depend on the physical and chemical properties of the materials, the interactions with gas molecules should modify their permittivity and change the velocity of the electromagnetic waves (El Bouazzaoui et al., <xref ref-type="bibr" rid="B18">2011</xref>). By measuring the variations in the transmitted and reflected microwaves at discrete frequency intervals, the frequency change or attenuation of the incident electromagnetic waves can be linked to the gas sensitive interactions (Huang et al., <xref ref-type="bibr" rid="B25">2018</xref>).</p>
<p>The permittivity &#x003B5; of a material is a complex quantity; it describes the dielectric polarization of the materials to an applied electric field (Xie et al., <xref ref-type="bibr" rid="B51">2015</xref>). Because there is a lag between the changes in polarization of the materials and the alternating electric field, the permittivity depends on the frequency of the field. According to the Maxwell&#x02013;Garnett equation, the permittivity of materials is described as follow (Auerbach et al., <xref ref-type="bibr" rid="B2">2003</xref>):</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>&#x003B5;</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x0221E;</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x02032;</mml:mi></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mi>j</mml:mi><mml:msup><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x02033;</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x0221E;</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003C9;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mi>j</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>&#x003C9;</mml:mi><mml:mi>&#x003C4;</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x0221E;</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003C9;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mi>&#x003C3;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003C9;</mml:mi><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>&#x003B5;<sub><italic>s</italic></sub> is the static permittivity, &#x003B5;<sub>&#x0221E;</sub> is the permittivity at the high frequency limit, &#x003C9; is the angular frequency, &#x003C4; is the characteristic relaxation time, and &#x003C3; is the conductivity of the material. The real part of the permittivity (&#x003B5;&#x02032;) represents the energy stored in the material. The imaginary part of the permittivity (&#x003B5;&#x02032;&#x02032;) is linked to the conductivity of the material.</p>
<p>The evolution of permittivity with the frequency of electric field indicates the change of dominant polarization process, which is shown in the <xref ref-type="fig" rid="F1">Figure 1</xref>. If a polarization process follows the oscillation frequency of the field, its permittivity become dominant; otherwise, it decreases. The averaged time for a polarization process is characteristic relaxation time. Thus, according to the relaxation time from slow to fast, the polarization processes are ionic conduction, dipolar polarization, ionic polarization, atomic polarization, and electronic polarization. Further, there is no clear boundary for different polarizations. When the frequency is above the ultraviolet range, the permittivity approaches the constant &#x003B5;<sub>0</sub>, which is the permittivity of free space.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Dielectric permittivity spectrum over a wide range of frequencies. Various processes are labeled in the image.</p></caption>
<graphic xlink:href="fmats-06-00101-g0001.tif"/>
</fig>
<p>The permittivity is influenced by the dipolar polarization in the low microwave frequency range and ionic polarization in the high microwave frequency range. The dipolar polarization is orientation of permanent dipoles in materials responsed to electric field, and the ionic polarization is the polarization caused by relative displacements between the positive and negative ions (Mitroy et al., <xref ref-type="bibr" rid="B33">2010</xref>). For microwave gas sensing, the adsorption of polar gas molecules is expected to induce dipole-dipole interactions with the permanent dipole of the materials. These dipole interactions will vary the timescale or strength of the orientation of the permanent dipole and the displacement of ions; consequently, a change in the polarization as well as the permittivity of the materials is demonstrated.</p>
<p>Besides the sensitive materials, the microwave gas sensor requires propagative structures to transmit the microwave (Fonseca et al., <xref ref-type="bibr" rid="B21">2014</xref>). The propagative structure can be classified as non-resonator and resonator depend on the propagation of electromagnetic waves; standing wave transmits in resonator and traveling wave transmits in non-resonator. The non-resonator has simple structure and wide bandwidth; the structure of resonator is designed in a narrow bandwidth, its resonant frequency is stable during measurement, so higher resolution can be achieved for the resonator. There are many geometric structures that are used for microwave gas sensing, e.g., microstrip line, coplanar waveguide, coaxial line, and resonant cavity (<xref ref-type="fig" rid="F2">Figure 2</xref>). By designing their geometry, the sensors are operated in different microwave ranges.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Various propagative structures applied in microwave gas sensors. Reproduced with permissions from Fei et al. (<xref ref-type="bibr" rid="B20">2011</xref>), Fonseca et al. (<xref ref-type="bibr" rid="B21">2014</xref>), Zarifi et al. (<xref ref-type="bibr" rid="B58">2016</xref>), Bogner et al. (<xref ref-type="bibr" rid="B11">2017</xref>), and Staszek et al. (<xref ref-type="bibr" rid="B44">2017</xref>). Copyright 2014, 2016, 2017 Elsevier; copyright 2016 American Chemical Society; copyright 2016 IEEE.</p></caption>
<graphic xlink:href="fmats-06-00101-g0002.tif"/>
</fig>
<p>Sensitive materials are deposited in various forms on the propagative structures. In general, there are two forms, which are surface film and volumic bulk. The surface film is formed by depositing sensitive materials on the propagative structure, and volumic bulk uses sensitive materials to replace the substrate of the propagative structure. Although gas diffusion in the volumic bulk requires a longer time than the surface film, the volumic bulk has a larger cross-sectional area to interact with the microwave. Various procedures using sensors are implemented in accordance with the chosen sensitive materials, propagative structures, and their integrated forms (surface film or volumic bulk).</p>
</sec>
<sec id="s3">
<title>Sensitive Materials</title>
<p>So far, metal oxide, zeolite, and organic, which are the conventional sensing materials, were applied in the microwave gas sensors to detect gaseous compounds such as volatile organic compound, NH<sub>3</sub>, CO<sub>2</sub>, CO, O<sub>2</sub>, or H<sub>2</sub>. Although the gas sensitive reactions of these materials under conductometric transduction were extensively studied, the link between the dipole reaction and microwave signals is still unknown.</p>
<sec>
<title>Metal Oxides</title>
<p>Since the gas sensing of oxides is based on surface interactions with gas molecules, nano-oxides with high surface area present advantage on enhancing sensitivity. TiO<sub>2</sub> and &#x003B1;-Fe<sub>2</sub>O<sub>3</sub> nanoparticles in the form of a surface film on the waveguide substrate were applied for NH<sub>3</sub> sensing (Bailly et al., <xref ref-type="bibr" rid="B6">2016a</xref>,<xref ref-type="bibr" rid="B7">b</xref>,<xref ref-type="bibr" rid="B8">c</xref>); the principle of measurement is shown in <xref ref-type="fig" rid="F3">Figure 3A</xref>. The permittivity of oxides changed when exposed to NH<sub>3</sub> at room temperature, which caused the variation of the reflected coefficient (S11) and the transmitted coefficient (S21). Although an increase in the conductivity of TiO<sub>2</sub> and &#x003B1;-Fe<sub>2</sub>O<sub>3</sub> with ammonia exposure were reported in Moseley and Williams (<xref ref-type="bibr" rid="B35">1990</xref>), the authors assumed that the formation of <inline-formula><mml:math id="M2"><mml:msubsup><mml:mtext>NH</mml:mtext><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> species on the surface of the oxides was the source for the permittivity change; however, the relation of <inline-formula><mml:math id="M3"><mml:msubsup><mml:mtext>NH</mml:mtext><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> to the decrease in permittivity is unclear. Furthermore, the effect of the shape of oxides involved in microwave transduction was studied. It was observed that different morphologies presented a significant difference in behavior upon ammonia adsorption; the sensitive responses of different morphologies are shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>. The crystal planes with high surface energy and abundant unsaturated active sites usually serve as a promising platform to interact with gas molecules (Gao and Zhang, <xref ref-type="bibr" rid="B24">2018</xref>). Controlled morphology with exposed high energy facets are still valid for the metal oxides in microwave transduction (Bailly et al., <xref ref-type="bibr" rid="B8">2016c</xref>).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>(A)</bold> Principle of microwave transduction applied to reflection/transmission measurements, <bold>(B)</bold> response and recovery times for a microwave sensor exposed to ammonia. Reproduced with permissions from Bailly et al. (<xref ref-type="bibr" rid="B7">2016b</xref>,<xref ref-type="bibr" rid="B8">c</xref>). Copyright 2016 Elsevier; copyright 2016 American Chemical Society.</p></caption>
<graphic xlink:href="fmats-06-00101-g0003.tif"/>
</fig>
<p>Other metal oxides such as SnO<sub>2</sub> and SrTiO<sub>3</sub> presented decreasing permittivity to hydrogen, ethanol, and toluene in microwave transduction (Rossignol et al., <xref ref-type="bibr" rid="B41">2010</xref>; Fei et al., <xref ref-type="bibr" rid="B20">2011</xref>). In the literatures, SnO<sub>2</sub> and SrTiO<sub>3</sub> employed volumic bulk form; a small concentration of hydrogen was detected by filling SnO<sub>2</sub> in the substrate of a waveguide phase shifter. Increasing the cross-sectional area of sensitive material in electromagnetic wave could be a way for enhancing the sensitivity of the microwave sensor.</p>
</sec>
<sec>
<title>Zeolites</title>
<p>Bulk adsorption is expected to increase the influence of gas molecule on the overall permittivity of sensitive materials; thus, microporous and mesoporous materials were applied in the microwave gas sensors.</p>
<p>Zeolite is crystalline aluminosilicates with pores and channels of molecular dimensions. Approximately 190 zeolites with distinct framework topologies have been reported (Zheng et al., <xref ref-type="bibr" rid="B62">2012</xref>). Four commonly used zeolites are shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. The aluminosilicate framework of zeolites is negative owing the Al<sup>3&#x0002B;</sup> presented in the network of [SiO<sub>4</sub>]<sup>4&#x02212;</sup> tetrahedra; thus, a cation is introduced to balance the negative charge around Al<sup>3&#x0002B;</sup> sites; the extra-framework cations are mobile in the channel of zeolites as the zeolites are ionic conductors (Xu et al., <xref ref-type="bibr" rid="B53">2006</xref>; Sahner et al., <xref ref-type="bibr" rid="B43">2008</xref>).</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Representative zeolite frameworks (with pore openings). <bold>(A)</bold> Zeolite A (3D, 4.2 &#x000C5;); <bold>(B)</bold> zeolite Y (3D, 7.4 &#x000C5;); <bold>(C)</bold> Zeolite L (1D, 7.1 &#x000C5;); <bold>(D)</bold> ZSM-5 (2D, 5.3 &#x000D7; 5.6 &#x000C5;, 5.1 &#x000D7; 5.5 &#x000C5;). D indicates the dimensions of the channel system. Reproduced from Zheng et al. (<xref ref-type="bibr" rid="B62">2012</xref>).</p></caption>
<graphic xlink:href="fmats-06-00101-g0004.tif"/>
</fig>
<p>Because of the large volume of pores in the zeolites, the accessible volume for gas molecules is from 5 to 30%. The overall permittivity of zeolite is contributed by the aluminosilicate framework (&#x003B5;<sub><italic>frame</italic></sub>) and pores (&#x003B5;<sub><italic>pore</italic></sub>), so the filling of gas molecules into the pores can alter the permittivity of the zeolites. The change of the permittivity of the pores based on bulk gas adsorption is described as follow:</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mn>3</mml:mn><mml:mi>f</mml:mi><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where &#x003B5;<sub><italic>n</italic></sub> is the initial permittivity of the pores, which usually is 1 (N<sub>2</sub>, &#x003B5;<sub><italic>N</italic><sub>2</sub></sub> &#x0003D; 1), &#x003B5;<sub><italic>g</italic></sub> is the permittivity of the gas molecules, <italic>f</italic> is the filling factor (<italic>f</italic> &#x0003D; <italic>V</italic><sub><italic>g</italic></sub>/<italic>V</italic><sub><italic>pore</italic></sub>),<italic>V</italic><sub><italic>g</italic></sub> is the volume of adsorbed gas molecules, and <italic>V</italic><sub><italic>pore</italic></sub> is the volume of the pores. Thus, increasing the permittivity of zeolite can be achieved by adsorbed polar gas. Several studies have observed this performance (Zarifi et al., <xref ref-type="bibr" rid="B59">2017</xref>). The evolution of gas adsorption in zeolite and the permittivity change are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>(A)</bold> Evolution of CO<sub>2</sub> adsorption in Zeolite X and the corresponding permittivity change, <bold>(B)</bold> simulation results of concentration effect on permittivity of pores and adsorbents. Reproduced with permission from Zarifi et al. (<xref ref-type="bibr" rid="B59">2017</xref>). Copyright 2017 Elsevier.</p></caption>
<graphic xlink:href="fmats-06-00101-g0005.tif"/>
</fig>
<p>Besides the physical adsorption, the coordinatively unsaturated metal sites in the zeolite are also sites for gas adsorption by the electrostatic process (Zarifi et al., <xref ref-type="bibr" rid="B57">2018</xref>). Therefore, more unsaturated metal sites in the sensitive material induce higher adsorption capacity, and this demonstrated a larger sensitive response.</p>
<p>The amplitude variations at resonant frequencies were observed for zeolite Y on coplanar waveguides for toluene exposure in the range of 2&#x02013;10 GHz (Fonseca et al., <xref ref-type="bibr" rid="B22">2015a</xref>). The variable orientations (increasing or decreasing orientations) of the signals differed at different resonant frequencies. Although the amplitude variation of resonant frequency originated from the permittivity change of zeolite, different variable orientations revealed complicated interactions of zeolite with gas molecules.</p>
<p>For the dipole interaction of zeolites with gas molecules, scarce characterizations were presented. Based on the ionic model of zeolite, the mobile cation was localized in the center of a neighboring tetrahedron [AlO<sub>4</sub>]<sup>&#x02212;</sup>, and their dipole (&#x003BC;1) was parallel to the electric field vector. When gas molecules enter into the cavity, they will perturb the original electric field, the cation will jump a distance and orient itself to a new dipole moment (&#x003BC;2) (<xref ref-type="fig" rid="F6">Figure 6</xref>) (Wei and Hillhouse, <xref ref-type="bibr" rid="B50">2006</xref>; Nicolas et al., <xref ref-type="bibr" rid="B36">2008</xref>). This dipole change could modify the permittivity of zeolite, and the cations at different sites in zeolitic framework are expected to introduce dipole interactions with different strength. Detailed characterizations are needed to verify the dipole interaction.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Schematic for dipole moment between cation and lattice site by a change of place of the cation in a zeolite channel.</p></caption>
<graphic xlink:href="fmats-06-00101-g0006.tif"/>
</fig>
</sec>
<sec>
<title>Organics</title>
<p>Carbon materials and polymers were widely applied as gas sensitive materials. Carbon nanotubes (CNTs) and graphene have high surface areas, and their properties can be modified by simple chemical processes (Kauffman and Star, <xref ref-type="bibr" rid="B27">2008</xref>; Yuan and Shi, <xref ref-type="bibr" rid="B55">2013</xref>).</p>
<p>It is well-known that the conductivity of carbon nanotubes decreases when exposed to NH<sub>3</sub> and CH<sub>4</sub> (Kauffman and Star, <xref ref-type="bibr" rid="B27">2008</xref>). However, frequency shifts were observed for a resonator based on carbon nanotubes under NH<sub>3</sub> or CH<sub>4</sub> environment (Chopra et al., <xref ref-type="bibr" rid="B14">2002</xref>; Occhiuzzi et al., <xref ref-type="bibr" rid="B37">2011</xref>; Cismaru et al., <xref ref-type="bibr" rid="B15">2016</xref>). The conductivity change, which is the imaginary part of permittivity, can vary the amplitude of resonant frequency, but the frequency shift indicates a change of the real part of permittivity. A possible explanation is that gas molecules interact with carbon nanotubes to create bound charges resulting in changes in the real part of permittivity of carbon nanotubes.</p>
<p>Noble metal loading on carbon materials can effectively enhance the sensitivity of a sensor. Pt loaded graphene can detect H<sub>2</sub> in concentrations as minimal as 1 ppm in the frequency range from 880 to 940 MHz (Lee et al., <xref ref-type="bibr" rid="B31">2015</xref>), which is shown in the <xref ref-type="fig" rid="F7">Figure 7</xref>. The large surface area of graphene and uniform Pt decoration provide an excellent platform for gas adsorption and dielectric response. However, the mechanism of permittivity change for the nano-composition of Pt/graphene under H<sub>2</sub> is rarely discussed.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p><bold>(A)</bold> Transmission electron microscopy images of Pt-decorated reduced graphene oxide (Pt_rGO), <bold>(B)</bold> Pt_rGO-immobilized radio-frequency identification sensor tag, <bold>(C,D)</bold> change in the reflectance properties and measured reflection phase of different Pt_rGO-based wireless sensors as a function of the hydrogen gas concentration. Reproduced with permission from Lee et al. (<xref ref-type="bibr" rid="B31">2015</xref>). Copyright 2015 American Chemical Society.</p></caption>
<graphic xlink:href="fmats-06-00101-g0007.tif"/>
</fig>
<p>Many advantages lead to polymers being a good candidate for gas sensing, such as low cost, high sensitivity at low temperature, good gas permeability, flexibility, simple synthesis, and environmental stability (Kubersky et al., <xref ref-type="bibr" rid="B30">2015</xref>; Wang et al., <xref ref-type="bibr" rid="B49">2017</xref>). In microwave transduction, a physically adsorbed gas molecule can diffuse into polymer and swell its volume, which contribute to permittivity change (Zarifi et al., <xref ref-type="bibr" rid="B56">2015a</xref>,<xref ref-type="bibr" rid="B60">b</xref>). With the support of a six-port reflectometer, the limit of detection of copolymer Pc film to acetone was identified to be 0.5 ppm (Staszek et al., <xref ref-type="bibr" rid="B44">2017</xref>). The dynamic change of S11 for different acetone concentrations are shown in the <xref ref-type="fig" rid="F8">Figure 8</xref>. Except for the physical adsorption of gas molecules, the conductivity of polymer also results in a permittivity change. The composition of conducting polymer and carbon nanotubes were explored for ethanol detection, and insertion losses and frequency shifts on the resonant frequency were observed (Bahoumina et al., <xref ref-type="bibr" rid="B4">2017</xref>). A conducting polymer with a functional group exhibited high sensitivity to ammonia and acetic acid. The authors observed that the increase in density of carboxylic functional groups enhanced the sensitivity (Jun et al., <xref ref-type="bibr" rid="B26">2016</xref>), which indicate that the dipole of functional groups are involved in the dielectric response.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p><bold>(A)</bold> Magnitude of reflection coefficient S11 measured at the resonant frequency under exposure to acetone in the 0&#x02013;25 ppm concentration range, <bold>(B)</bold> change in the reflectance properties of different concentrations of ammonia and acetic acid. Reproduced with permissions from Jun et al. (<xref ref-type="bibr" rid="B26">2016</xref>) and Staszek et al. (<xref ref-type="bibr" rid="B44">2017</xref>). Copyright 2017 Elsevier; copyright 2016 American Chemical Society.</p></caption>
<graphic xlink:href="fmats-06-00101-g0008.tif"/>
</fig>
<p>Metal phthalocyanines are sensitive to various gases owing to their catalyst. The redox with gas molecules can not only modify their density of charge carriers and conductivity, but also the permittivity of material (Bai and Shi, <xref ref-type="bibr" rid="B5">2007</xref>). Cobalt phthalocyanine (CoPc) was applied for toluene and ammonia detection on various substrate (Barochi et al., <xref ref-type="bibr" rid="B9">2011</xref>; Rossignol et al., <xref ref-type="bibr" rid="B39">2012</xref>, <xref ref-type="bibr" rid="B40">2013</xref>). The real and imaginary part of the reflected coefficient changed when exposed to NH<sub>3</sub>, except for the conductivity change. The surface dipoles or electronic structure of CoPc is supposed to vary through the interactions with gas molecules; however, this is merely a hypothesis.</p>
<p>In summary, the mechanism of sensitive materials in microwave gas sensor is rather complicated. Only conductivity change is not sufficient to explain the variation of complex permittivity. So far, lack of experimental evidences for dipoles and ionic polarization in microwave range prevents further discussion. However, there are two strategies are suggested for increasing the sensitivity of materials. Increasing adsorption capacity of materials is a valid method to detect polar gas molecules, higher adsorption capacity could leads to larger dielectric response of materials. Thus, microporous and mesoporous materials will be effective materials for microwave gas sensor. The other aspect is the polarized species in materials which can interact with targeted gas molecules. For example, hydroxide radicals could bind NH<sub>3</sub> to form dipoles (<inline-formula><mml:math id="M5"><mml:msubsup><mml:mtext>NH</mml:mtext><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>), which modify the polarization of material; lewis acids can interact with reducing gases that form intermediate dipoles or annihilate Lewis sites, which change the permittivity of materials. Well-designed polar species in materials devoted for gas sensing are required. At the same time, increasing the density of polarized species can greatly improve the sensitivity. Moreover, the morphology of oxides is observed to have effect on dielectric response, different density of defects and dangle groups are supposed to the reason.</p>
</sec>
</sec>
<sec id="s4">
<title>Propagative Structures</title>
<p>A propagative structure is used to transmit electromagnetic waves and supports the sensitive materials for adapting in different environments. Its quality factor determines the resolution of the sensor. The quality factor is a ratio of energy loss related to the stored energy of the propagative structures; a high quality factor indicates a resonance profile with narrow resonator&#x00027;s bandwidth relative to its center frequency (Zarifi et al., <xref ref-type="bibr" rid="B61">2015c</xref>).</p>
<p>The microwave resonant cavity has an significantly high quality factor, which increases the resolution of the sensor, but it only works at a single frequency (Tooski, <xref ref-type="bibr" rid="B45">2010</xref>, <xref ref-type="bibr" rid="B46">2011</xref>). The planar microstrip line, coplanar waveguide, and interdigital capacitor are the common structures employed in the experiments on microwave sensors because of their merits, such as simple structure, compact size, low-cost manufacturing, large operation frequency range, and simplicity in integrating in an antenna for remote sensing. For precise measurement, an active microstrip line and six-port reflectometer were applied to increase the quality factor of the sensors. Their resonance peaks were sharp and a small frequency shift could be easily detected as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>.</p>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p><bold>(a)</bold> Experimental setup with the microwave active resonator sensor, <bold>(b)</bold> resonant profile (S21) of the sensor based on the active resonator, <bold>(c)</bold> photograph of the fabricated six-port reflectometer, <bold>(d)</bold> resonant profile S11 of the sensor based on the six-port reflectometer. Reproduced with permissions from Staszek et al. (<xref ref-type="bibr" rid="B44">2017</xref>) and Zarifi et al. (<xref ref-type="bibr" rid="B57">2018</xref>). Copyright 2017, 2018 Elsevier.</p></caption>
<graphic xlink:href="fmats-06-00101-g0009.tif"/>
</fig>
<p>To cancel the influence of temperature or humidity on the electromagnetic behavior, the differential method was proposed by using a reference resonator (Bahoumina et al., <xref ref-type="bibr" rid="B4">2017</xref>; Huang et al., <xref ref-type="bibr" rid="B25">2018</xref>). The response is the difference between the sensitive resonator and the reference resonator with a blank or with materials with known permittivity. The configuration of differential resonators is shown in <xref ref-type="fig" rid="F10">Figure 10</xref>. The differential method ensures a low variance signal with good repeatability.</p>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p><bold>(A)</bold> Separated sensitive resonator and reference resonator, <bold>(B)</bold> dimensions and geometry of differential sensor based on two stub resonators. Reproduced with permissions from Bahoumina et al. (<xref ref-type="bibr" rid="B4">2017</xref>) and Huang et al. (<xref ref-type="bibr" rid="B25">2018</xref>). Copyright 2017 Elsevier.</p></caption>
<graphic xlink:href="fmats-06-00101-g0010.tif"/>
</fig>
<p>The microwave cavity waveguide provided a powerful technique for measuring NH<sub>3</sub> loading in the catalyst of a diesel engine (Dietrich et al., <xref ref-type="bibr" rid="B16">2017</xref>). The catalyst itself was the sensitive material, and the catalyst canning was the propagative structure. A planar propagative structure was also applied in non-contact mode for monitoring of the adsorbent; the adsorbent in the gas tube was above the planar microstrip line, which is shown in <xref ref-type="fig" rid="F11">Figure 11</xref>. The permittivity change of adsorbent influenced the electromagnetic waves propagated in the microstrip line (Rei&#x000DF; et al., <xref ref-type="bibr" rid="B38">2011</xref>; Zarifi et al., <xref ref-type="bibr" rid="B56">2015a</xref>, <xref ref-type="bibr" rid="B59">2017</xref>). This contactless technique is attractive for dangerous and toxic gas detection as the sensing platform does not need to be in the gas-flowing medium.</p>
<fig id="F11" position="float">
<label>Figure 11</label>
<caption><p><bold>(A)</bold> Schematic of the measurement setup of the sensor to perform noncontact gas sensing, <bold>(B)</bold> illustration of the setup for the resonance cavity of catalyst. Reproduced with permissions from Zarifi et al. (<xref ref-type="bibr" rid="B56">2015a</xref>) and Dietrich et al. (<xref ref-type="bibr" rid="B16">2017</xref>). Copyright 2017 John Wiley and Sons; copyright 2015 AIP Publishing.</p></caption>
<graphic xlink:href="fmats-06-00101-g0011.tif"/>
</fig>
</sec>
<sec id="s5">
<title>Signal Analysis</title>
<p>The gas sensing tests of the microwave sensors were carried out by vector network analyzer (VNA). The sensitive signal was derived from various parameters of the VNA measurement. Despite the lack of permittivity measurements of materials in microwave range, the permittivity of sensitive materials applied in microwave gas sensors were distributed over a wide range, polymers demonstrated measurements between 2 and 5, and the permittivity of oxides and zeolites could be adjusted from 3 to 15. The materials with lower initial permittivity are assumed to possess higher sensitivity for small permittivity changes, because the dielectric response is usually calculated by the ratio of the permittivity change and the initial value. In most microwave gas sensors, the reflection characteristics of electromagnetic waves are extracted as signals, which include the S parameter, reflection coefficient, return loss, and input impedance. All these parameters describe the degree of mismatch in impedance. No comparative study about different parameters on gas sensing has been conducted.</p>
<p>The alteration of parameters can be classified as a frequency shift in the frequency spectra or magnitude variation at a fixed frequency. To analyze the response and recovery time, each parameter was measured at a fixed frequency with the evolution of time. The time taken by a sensor to achieve 90% of the total parameter change is defined as response time in the case of adsorption or the recovery time in the case of desorption as shown in <xref ref-type="fig" rid="F12">Figure 12a</xref> (Zheng et al., <xref ref-type="bibr" rid="B63">2015</xref>; Bailly et al., <xref ref-type="bibr" rid="B7">2016b</xref>). Combining both the real and imaginary parts of a parameter is considered as a powerful tool to assess the overall performance of a sensor (Rossignol et al., <xref ref-type="bibr" rid="B40">2013</xref>). <xref ref-type="fig" rid="F12">Figures 12b,c</xref> present the real vs. imaginary plot for S11 measurement. Here, each concentration outlines a full ellipsoid, whose radius is correlated to the concentration of ammonia. The obtained ellipsoids could facilitate the optimization of the sensor performance in predicting the concentration. Besides optimizing the sensor performance, the imaginary part of the parameter as a function of the real part shows a set of aligned points for a concentration at fixed frequency (Barochi et al., <xref ref-type="bibr" rid="B9">2011</xref>). This assists the discriminated power of sensors in concentration prediction through the use of pattern recognition algorithms (Chen et al., <xref ref-type="bibr" rid="B13">2017</xref>).</p>
<fig id="F12" position="float">
<label>Figure 12</label>
<caption><p><bold>(a)</bold> Evolution of S-parameters during the gas sensing, and determination of response and recovery times, <bold>(b)</bold> imaginary part as a function of real part of S11 for different gas concentrations between 2 and 2.5 GHz, frequency evolution follows the clockwise direction, <bold>(c)</bold> imaginary part as a function of real part of signal in linear scale at fixed frequency. Reproduced with permissions from Rossignol et al. (<xref ref-type="bibr" rid="B40">2013</xref>) and Bailly et al. (<xref ref-type="bibr" rid="B7">2016b</xref>). Copyright 2013, 2016 Elsevier.</p></caption>
<graphic xlink:href="fmats-06-00101-g0012.tif"/>
</fig>
</sec>
<sec id="s6">
<title>Outlook</title>
<p>We have demonstrated the presented progress of microwave gas sensors. This is a considerably vigorous and fast evolving field and continuous rapid growth can be expected with advances in materials and device fabrication, characterization, and signal processing. The use of the novel microwave transduction process in a gas sensor is still in its infancy. Based on the examples discussed in the review, most sensors were developed to serve the environmental industry; however, important parameters for gas sensors, such as selectivity, sensitivity, and long-term stability as well as reproduction were not satisfactorily reported in the literatures. Other relevant aspects include operational conditions such as temperature, humidity, and packaging. It is now necessary to improve our fundamental knowledge on microwave gas sensors and consider the future trends. Although we may overlook certain important issues, it is useful to consider which developments and challenges may deserve careful scrutiny.</p>
<p>A key challenge is the gas sensitive mechanism for different materials pertaining to permittivity change. The interactions of materials with gas molecules related to the conductivity change were extensively studied as conductometric gas sensors are the most popular in recent decades. Nevertheless, it is unsuitable for microwave gas sensors. The signal of the microwave gas sensor originates from the permittivity change. However, to the best of our knowledge, no study has reported the permittivity change of materials because of the complicated methods required for measuring permittivity in the microwave range. Therefore, designing a novel experiment is necessary for directly measuring the permittivity changes for gas sensing. The permittivity reflects various polarizations and the gas sensitive process is related to the polarization processes. A fundamental study is urgently required to understand the relation between the polarization changes of materials in gas sensing. Consequently, &#x0201C;permittivity synthesis&#x0201D; can become possible. This introduces the possibility of adapting the desired dielectric interactions with gas molecules by ordering the proper atoms and molecules into specified materials.</p>
<p>The dielectric properties of materials in gas sensing attracted the most attention, but the design of the propagative structure is important for practical applications. Propagative structures with high sensitivity can be designed, as long as the permittivity of materials is measured. High quality factor is also desired for precise measurement, but the permittivity change in gas sensing will degrade the quality factor. The degrading quality factor narrows the test range of gas concentrations. Simultaneously, the bandwidth impacts the concentration range of sensors. Therefore, the contradiction between high quality factor and wide bandwidth requires balanced optimization. Various functions are demanded for better suitability in different fields. The omnidirectional polarized sensor is desired for the ease of use in wireless measurements. The coupling effects of electromagnetic waves is a critical issue for developing a sensor array. Flexibility and compact size maybe necessary for integrating the sensors into wearable devices. Digestible antenna is required for sensing in human body. Furthermore, the resonant cavity method lends itself well for <italic>in situ</italic> and non-contact measuring gas adsorption of materials in pipe.</p>
<p>In conclusion, there appears to be considerable advantages for microwave transduction in gas sensing. There are several fundamental challenges that need to be addressed before microwave gas sensors can become viable candidates for commercial implementation. The future of microwave gas sensors looks bright, and continued progress in this field will overcome the current challenges and lead to a class of sensors that can be used in a wide range of environments and applications.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>YZ and CH conceived the paper. FL and YZ analyzed the references and wrote the paper. JJ reviewed the paper.</p>
<sec>
<title>Conflict of Interest Statement</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>
</body>
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<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> This work was supported by the National Natural Science Foundation of China [grant numbers 61871245]; the Natural Science Foundation of Ningbo Municipality [grant number 2018A610021], and K. C. Wong Magna Fund in Ningbo University.</p>
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