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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">634906</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2021.634906</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Theoretical Investigation of the Passive Transmitter Based on Reconfigurable Metasurface</article-title>
<alt-title alt-title-type="left-running-head">Yang et al.</alt-title>
<alt-title alt-title-type="right-running-head">Theoretical Investigation of Passive Transmitter</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Shuai</given-names>
</name>
<uri xlink:href="http://loop.frontiersin.org/people/1000727/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Kuang</given-names>
</name>
<uri xlink:href="http://loop.frontiersin.org/people/1078478/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ding</surname>
<given-names>Xumin</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Guohui</given-names>
</name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Qun</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="http://loop.frontiersin.org/people/1071958/overview"/>
</contrib>
</contrib-group>
<aff>Department of Microwave Engineering, Harbin Institute of Technology, <addr-line>Harbin</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/74088/overview">Weiren Zhu</ext-link>, Shanghai Jiao Tong University, 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/1160861/overview">Ke Chen</ext-link>, Nanjing University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1160860/overview">Hongyu Shi</ext-link>, Xi&#x27;an Jiaotong University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Qun Wu, <email>qwu@hit.edu.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>10</day>
<month>02</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>634906</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>11</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>01</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Yang, Zhang, Ding, Yang and Wu.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Yang, Zhang, Ding, Yang and Wu</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>Wireless communication has become a standard solution to satisfy the ever-increasing demands of information transfer in our daily life. Furthermore, reconfigurable metasurfaces comprised of multiple tunable unitcells have drawn significant attention due to their superior electromagnetic performance, while the desired electromagnetic response can be controlled by computer. We therefore present a prototype of a wireless communication system based reconfigurable metasurface that works in the microwave frequency range. A 2-D periodical array of a reconfigurable metasurface is loaded with a varactor diode to effectively adjust the in-band transmission and reflection coefficients that maintain different far-field electromagnetic characteristics. The reconfigurable metasurface does not radiate electromagnetic waves and only carries information by adjusting its reflection and transmission coefficients. With this reconfigurable metasurface, a passive communication method can be realized.</p>
</abstract>
<kwd-group>
<kwd>reconfigurable metasurface</kwd>
<kwd>wireless communication</kwd>
<kwd>reconfigurable transmission surface</kwd>
<kwd>active frequency selective surface</kwd>
<kwd>software defined radio</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>It is foreseen that the commercial service of the fifth-generation (5G) of mobile communications will be launched on a worldwide scale starting in 2020. The application of the Internet of Things as an important part of the fifth-generation of mobile communication has a very broad development prospect [<xref ref-type="bibr" rid="B1">1</xref>]. At present, wireless sensors in IoT devices are facing two major problems: power consumption and transmission distance [<xref ref-type="bibr" rid="B2">2</xref>]. The server&#x2019;s increasing demands are driven by various intelligent devices, such as smart meters, telemedicine, virtual reality, and autonomous driving, all of which include a lot of wireless sensor devices. With the growth of these mobile Internet services, the requirements for sensor power consumption have become increasingly higher. Currently, short-range wireless communication methods mainly include near-field communication (NFC), Bluetooth, and Zigbee, and most of these methods mainly work with frequency types such as S-band. A metasurface, composed of sub-wave-length resonators in 2-D plane [<xref ref-type="bibr" rid="B3">3</xref>&#x2013;<xref ref-type="bibr" rid="B6">6</xref>], can provide a new way to control electromagnetics (EM) in terms of propagation modes, polarization, and wave-fonts [<xref ref-type="bibr" rid="B7">7</xref>&#x2013;<xref ref-type="bibr" rid="B12">12</xref>], and recently an active anisotropic metasurface whose reflection phases can be electrically and independently tuned for two orthogonal polarized waves was reported [<xref ref-type="bibr" rid="B13">13</xref>]. Due to their unique EM properties, we propose a passive transmitter, using a reconfigurable metasurface design work in 2.4&#xa0;GHz, to reduce the transmitter&#x2019;s power consumption and to make the metasurface compatible with the standard IEEE 802.11ac. IEEE 802.11ac is a wireless networking standard in the 802.11 set of protocols (which is part of the Wi-Fi networking family), providing high-throughput wireless local area networks (WLAN) on the 2.4&#xa0;GHz and 5&#xa0;GHz band.</p>
<p>In this paper, a single layer reconfigurable metasurface has been presented with the aim of reducing power consumption. The proposed geometry consists of periodic metallic Patterns imprinted on the top of the dielectric substrate, where varactor diodes are mounted in the center of each unit cell. The reconfigurable metasurface has been constructed such that it can integrate two different characteristics (single band reflection and transmission) with independent control of the biasing states of the varactor diodes. In order to communicate with the passive transmitter a receiver has been designed with a software-defined radio (SDR) [<xref ref-type="bibr" rid="B14">14</xref>&#x2013;<xref ref-type="bibr" rid="B18">18</xref>]. A software-defined radio is a radio communication system where components that have been traditionally implemented in hardware are instead implemented by means of software on a personal computer or an embedded system. While the concept of SDR is not new, the receiver in this paper only provided a method to verify this design. The varactors in the reconfigurable metasurface are controlled by the base band signal.</p>
<p>The remainder of this paper is organized as follows. <xref ref-type="sec" rid="s2">Section 2</xref> presents the proposed design concept for a passive transmitter, then describes the system composition and characteristics of power consumption. <xref ref-type="sec" rid="s3">Section 3</xref> discusses the theoretical investigation of this design and show the simulation results. Finally, concluding remarks and a comparison of the proposed passive transmitter to the traditional short-range wireless communication methods are presented in the last section.</p>
</sec>
<sec id="s2">
<title>2 Reconfigurable Metasurface Passive Transmitter</title>
<sec id="s2-1">
<title>2.1 The Design of Unitcell</title>
<p>The reconfigurable metasurface is a lattice of 2-D subwave-length meta-atoms loaded with varactor diodes [<xref ref-type="bibr" rid="B14">14</xref>&#x2013;<xref ref-type="bibr" rid="B23">23</xref>]. The Schematic view of the unitcell is illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>. It includes one metallic layer that is placed on one substrate (F4B with a dielectric constant of 2.65 and loss tangent of 0.001). On the top layer is a &#x201c;E&#x201d; shape metallic strip combined by a varactor diode surrounded by metallic strips. The Structural parameters are chosen as follows: The width of the unitcell <inline-formula id="inf1">
<mml:math>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>35</mml:mn>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the height of the unitcell <inline-formula id="inf2">
<mml:math>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>17</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the strip width <inline-formula id="inf3">
<mml:math>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the width of &#x2018;E&#x2019; strip <inline-formula id="inf4">
<mml:math>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>18</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the height of &#x201c;E&#x201d; shape strip <inline-formula id="inf5">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5.5</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the gap of the varactor diode <inline-formula id="inf6">
<mml:math>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, in other words, the total height of the central patch <inline-formula id="inf7">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>12</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and the thickness of the substrate <inline-formula id="inf8">
<mml:math>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.8</mml:mn>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The varactor diode is placed across the gap on the top layer, and six resistors with a resistance of 10&#xa0;K ohms are placed symmetrically, as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, to limit the bias current and to isolate the surface current. By tuning the reverse DC bias voltage across the varactor <inline-formula id="inf9">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the reflection coefficient of the reconfigurable metasurface is manipulated. In this work we select the varactor diode infineon BB857, whose services resistance <inline-formula id="inf10">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.5</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mtext>&#x3a9;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, inductance <inline-formula id="inf11">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.7</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and capactitance <italic>C</italic> ranges from 0.54 to 6.6&#xa0;pF when its reverse biasing voltage changes from 28 to 0&#xa0;V. In this unitcell we know that the gap of the &#x201c;E&#x201d; shape strips the metallic wires on the top layer combined by a varactor, so that the varactor is a parallel connection. The transmitter properties of the unitcell is a function of the biasing voltage <inline-formula id="inf12">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The resonance moves from low to high frequencies when <inline-formula id="inf13">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> decreases from 28 to 0&#xa0;V.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The tunable unit of reconfigurable metasurface.</p>
</caption>
<graphic xlink:href="fphy-09-634906-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 System Model</title>
<p>A Full structure sample containing <inline-formula id="inf14">
<mml:math>
<mml:mrow>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>9</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> unitcells are placed on the EM absorbing material, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. Then we change the resonance frequencies, the metasurface can work as an absorber and reflector. The receiver in this system will continuously radiate horizontally polarized EM waves. In this paper, a software-defined radio is used to implement a continuous wave radar working at 2.4&#xa0;GHz as a signal receiver, which is illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic of the reconfigurable metasurface with a periodic structure.</p>
</caption>
<graphic xlink:href="fphy-09-634906-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The block diagram of the receiver based on the software defined radio.</p>
</caption>
<graphic xlink:href="fphy-09-634906-g003.tif"/>
</fig>
<p>In this passive transmitter radio frequency (RF) source and amplifier is not employed, so the transmission coefficient is obtained as<disp-formula id="e1">
<mml:math>
<mml:mrow>
<mml:mi>&#x393;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>21</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>21</mml:mn>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf15">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>21</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the transmission coefficient through the reconfigurable metasurface and <inline-formula id="inf16">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mn>21</mml:mn>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the coefficient when the EM waves through the air.</p>
<p>For simplicity, let us assume that a wireless source emits a seemingly random signal <inline-formula id="inf17">
<mml:math>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and the received sequence of binary digital information is <inline-formula id="inf18">
<mml:math>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, we refer to the time <italic>&#x3c4;</italic> in <inline-formula id="inf19">
<mml:math>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. In an analogy with continuous-wave radar <inline-formula id="inf20">
<mml:math>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf21">
<mml:math>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> can be correspondingly regarded as the launch wave and radar echo. We need to convert the <inline-formula id="inf22">
<mml:math>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> into that of the distinguishable carry wave control coding patterns of the reconfigurable metasurface <inline-formula id="inf23">
<mml:math>
<mml:mrow>
<mml:mi>&#x393;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. At any given time <inline-formula id="inf24">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, if <inline-formula id="inf25">
<mml:math>
<mml:mrow>
<mml:mi>&#x393;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x393;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the stray received sequence <inline-formula id="inf26">
<mml:math>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mrow>
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<mml:mi>t</mml:mi>
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</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>&#x393;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. So, the received sequence with the information modulated by coding patterns.</p>
<p>When the metasurface is driven by the EM wave <inline-formula id="inf27">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, normally incident from the top toward the metasurface at <inline-formula id="inf28">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the response can be represented as<disp-formula id="e2">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x393;</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x393;</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf29">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> stands for the reflected wave. From the theory of Fourier transform, the frequency response can be expressed as<disp-formula id="e3">
<mml:math>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x393;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi mathvariant="normal">&#x2217;</mml:mi>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x393;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf30">
<mml:math>
<mml:mi mathvariant="normal">&#x2217;</mml:mi>
</mml:math>
</inline-formula> stands for the convolution operation, and <italic>&#x3b4;</italic> is the Dirac delta function, respectively. We know that the reflection responses are highly dependent on the transmission coefficient&#x2019;s frequency response from <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>.</p>
<p>In this work, the varactor diodes are working at two states, one is without biasing voltage <inline-formula id="inf31">
<mml:math>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>V</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>6.6</mml:mn>
<mml:mi>p</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and the other is with biasing voltage <inline-formula id="inf32">
<mml:math>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>28</mml:mn>
<mml:mi>V</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.54</mml:mn>
<mml:mi>p</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. In this case we can realize a 1-bit digital codes, the reflector state is defined as the code &#x201c;1&#x201d; and the transmission state is defined as the code &#x201c;0&#x201d;. So, a Frequency-shift keying (FSK) transmitter can be realized based on this reconfigurable metasurface.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Simulations and Discussion</title>
<p>To verify the performance of the proposed metasurface, Frequency domain simulations are performed using the CST studio and GNUradio software. In our Simulations, the unitcells are driven by the horizontal polarized wave from 1.5&#xa0;GHz to 3&#xa0;GHz. The reflection and transmission coefficient are shown in <xref ref-type="fig" rid="F4">Figure 4</xref> and <xref ref-type="fig" rid="F5">Figure 5</xref>. As an illustrative example, we find that the reconfigurable metasurface worked at 2.4&#xa0;GHz by adjusting the biasing voltage, and the EM resonance changes as expected.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The reflection coefficient of a reconfigurable metasurface at different voltages.</p>
</caption>
<graphic xlink:href="fphy-09-634906-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The transmission coefficient of a reconfigurable metasurface at different voltages.</p>
</caption>
<graphic xlink:href="fphy-09-634906-g005.tif"/>
</fig>
<p>Furthermore, we simulated the reconfigurable metasurface&#x2019;s farfield properties. From the farfield simulation results, it can be intuitively seen that the main lobe of the reconfigurable metasurface covers half of the space and the amplitude of the backward radiation is very low. In this case, its farfield reflection properties can be well modulated.</p>
<p>Particularly, the reflectivity and phase difference of the two elements under the illumination of forward x-polarized incidence are depicted in <xref ref-type="fig" rid="F6">Figure 6</xref>, respectively. It is clearly shown that the complete reflection with direction difference approximately approaching 180&#xb0;, is well kept in <inline-formula id="inf33">
<mml:math>
<mml:mrow>
<mml:mn>2.4</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The transmitter is composed of <inline-formula id="inf34">
<mml:math>
<mml:mrow>
<mml:mn>9</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> unitcells. Since the varactor diodes works at 0v and 28&#xa0;V reverses the bias state, its reverse current is about <inline-formula id="inf35">
<mml:math>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the power consumption of a single structural unit is about <inline-formula id="inf36">
<mml:math>
<mml:mrow>
<mml:mn>300</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and its total power consumption is less than <inline-formula id="inf37">
<mml:math>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The power consumption comparison of communication is shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Simulation results of the reconfigurable metasurface&#x2019;s far-field radiation properties. <bold>(A)</bold> V &#x3d; 0&#xa0;V the metasurface working as a reflector. <bold>(B)</bold> V &#x3d; 28&#xa0;V the metasurface working in the transmission state, which can be regarded as an absorber due to the combination with the absorber placed behind the metasurface.</p>
</caption>
<graphic xlink:href="fphy-09-634906-g006.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Comparison of wireless technologies&#x2019; power consumption.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Wireless technologies</th>
<th align="center">Power consumption</th>
<th align="center">Communication distance</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">ZigBee</td>
<td align="left">
<inline-formula id="inf38">
<mml:math>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf39">
<mml:math>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">Wi-Fi</td>
<td align="left">
<inline-formula id="inf40">
<mml:math>
<mml:mrow>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf41">
<mml:math>
<mml:mrow>
<mml:mn>1000</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">Bluetooth</td>
<td align="left">
<inline-formula id="inf42">
<mml:math>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">
<inline-formula id="inf43">
<mml:math>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">Passive transmitter</td>
<td align="left">
<inline-formula id="inf44">
<mml:math>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Depends on the receiver&#x2019;s resolution</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the design proposed above, we can combine it into a new communication system. The reconfigurable metasurface whose biasing voltage are controlled by the base band signal plays the role of transmitter. The continuous wave radar designed by GNUradio is used as a receiver. In this communication system the transmitter does not radiate any EM wave, which is of great significance for EM silence. In IoT applications, a large part of the sensor data transmission is unidirectional, and the power is limited. The passive trans proposed in this paper may solve these problems.</p>
</sec>
<sec id="s4">
<title>4 Conclusion</title>
<p>In summary, we provided a theoretical framework for modulation, and simulated a prototype system tailored to the use of ambient commodity <inline-formula id="inf45">
<mml:math>
<mml:mrow>
<mml:mn>2.4</mml:mn>
<mml:mo>&#x2009;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> Wi-Fi signals. The proposed design is comprised of switchable active comments mounted across the metallic grids, and with base band control of the biasing conditions of the varactor diodes, the metasurface realized different modes of operation. For different biasing voltages the reconfigurable metasurface showed different electromagnetic characteristics, and then used these characteristics to achieve information transmission and reduced the power consumption of this kind of transmitter. At present, traditional short-range communication methods such as Bluetooth consume more than 10&#xa0;mW. The passive transmitter based on a reconfigurable metasurface proposed in this article works in the reverse bias state of the varactor. The power consumption is therefore less than 1&#xa0;mW and the distance of communication depends on the receiver&#x2019;s resolution. It will also have applicational prospects in confidential communications. We believe that our passive transmitter, based on a reconfigurable metasurface, provides a fundamentally new view on wireless communication systems that can impact a wide range of future passive and IoT communication systems at radiofrequencies.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>SY designed and performed the design and simulation as well as wrote the paper. All authors participated in the data analysis and read the manuscript.</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<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>
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