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Enhancement of antenna-coupled microbolometers response by impedance matching
Jorge Simóna,
Corresponding author
jsimonr@gmail.com

Corresponding author.
, Eleazar Samuel Kolosovas-Machucab, Gustavo Vera-Revelesb, Edgar Brionesb, Jorge Flores-Troncosoc, Francisco Javier Gonzálezb
a Cátedras CONACYT, Centro de Investigación y Desarrollo en Telecomunicaciones Espaciales, Unidad Académica de Ingeniería Eléctrica, Universidad Autónoma de Zacatecas
b Coordinación para la Innovación y la Aplicación de la Ciencia y la Tecnología, Universidad Autónoma de San Luis Potosí
c Centro de Investigación y Desarrollo en Telecomunicaciones Espaciales, Unidad Académica de Ingeniería Eléctrica, Universidad Autónoma de Zacatecas
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    "textoCompleto" => "<span class="elsevierStyleSections"><span id="sec0005" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">1</span><span class="elsevierStyleSectionTitle" id="sect0015">Introduction</span><p id="par0005" class="elsevierStylePara elsevierViewall">Terahertz antennas &#40;lithographic antennas&#41; are devices which had opened a new route for the sensing and manipulation of the mid-infrared electromagnetic radiation free in the space&#44; founding in last years applications in the field of infrared image acquisition &#40;<a class="elsevierStyleCrossRef" href="#bib0025">Gonzalez&#44; Ilic&#44; Alda&#44; &#38; Boreman&#44; 2005</a>&#41; and solar energy harvesting &#40;<a class="elsevierStyleCrossRef" href="#bib0010">Briones&#44; Alda&#44; &#38; Gonz&#225;lez&#44; 2013</a>&#41;&#46; Terahertz antennas work by using the wave nature of the THz radiation in order to induce a resonant alternate current along the antennas arms &#40;with the same frequency of the incoming wave&#41; which is exploited to sense or recover the optical energy of radiation&#46;</p><p id="par0010" class="elsevierStylePara elsevierViewall">In imagining applications&#44; these types of antennas have been coupled with success to niobium microbolometers to capture images with infrared cameras containing hundreds of these elements &#40;<a class="elsevierStyleCrossRef" href="#bib0020">Gonz&#225;lez&#44; Gritz&#44; Fumeaux&#44; &#38; Boreman&#44; 2002</a>&#41;&#46; The presence of current in antennas heats the microbolometers loaded to them&#44; leading to an increase of its temperature what in turns changes the resistance of bolometers&#44; defining this way the detection mechanism &#40;<a class="elsevierStyleCrossRef" href="#bib0015">Codreanu&#44; Gonzalez&#44; &#38; Boreman&#44; 2003</a>&#41;&#46; In the field of solar energy harvesting&#44; lithographic antennas have been used to capture radiation coming from the sun and to build solar energy panels &#40;<a class="elsevierStyleCrossRef" href="#bib0005">Bareis&#223; et al&#46;&#44; 2011</a>&#41; when coupled to THz rectifiers based on metal-oxide&#8211;metal diodes&#44; allowing the recovering of the optical energy into Direct Current &#40;DC&#41; Power&#46;</p><p id="par0015" class="elsevierStylePara elsevierViewall">In spite of the attractive properties of the THz antennas as thermal devices&#44; the principal reason that they have not been yet employed in commercial applications it is their low performance&#44; arising from impedance matching or energy transfer problems between the THz antennas and the load elements&#59; being a topic of current interest &#40;<a class="elsevierStyleCrossRefs" href="#bib0035">Krenz et al&#46;&#44; 2012&#59; Mandviwala&#44; Boreman&#44; &#38; Lail&#44; 2008&#59; Mandviwala&#44; Lail&#44; &#38; Boreman&#44; 2005</a>&#41;&#46; Some coupling methods commonly used with the radio and microwave antennas have recently been scaled to the THz regime in order to better match the diodes to the antennas&#46; In this context&#44; transmission lines have been used as impedance-matching elements between a thermocouple and a bow-tie antenna tuned to absorb in the mid-infrared region&#44; obtaining a substantially increase of its response &#40;<a class="elsevierStyleCrossRef" href="#bib0035">Krenz et al&#46;&#44; 2012</a>&#41;&#46; By the other hand&#44; transmission lines have been employed with success at optical frequencies in order to transmit the optical energy from an emitting dipole to a receiving one &#40;<a class="elsevierStyleCrossRef" href="#bib0030">Huang&#44; Feichtner&#44; Biagioni&#44; &#38; Hecht&#44; 2009</a>&#41;&#44; showing that the principles of classic transmission lines can be &#8220;extra-poled&#8221; to high frequencies &#40;where metals are no longer considered as perfect conductors as classical theory of antennas does&#41;&#46;</p><p id="par0020" class="elsevierStylePara elsevierViewall">In this work&#44; different types of impedance matchers as transmission line sections&#44; open-circuit and short-circuit stubs&#44; are considered as couplers at THz frequencies in order to improve the energy transfer between a mid-infrared receiving dipole and a niobium micro-bolometer coupled to it&#46; The performance of the impedance matchers is evaluated from a numerical perspective by using the software COMSOL Multi-Physics 3&#46;5a&#44; commercial package based on the finite-element method which allows performing electromagnetic simulations&#46;</p></span><span id="sec0010" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">2</span><span class="elsevierStyleSectionTitle" id="sect0020">Method</span><p id="par0025" class="elsevierStylePara elsevierViewall">A sketch of the proposed matching structures is depicted in <a class="elsevierStyleCrossRef" href="#fig0005">Fig&#46; 1</a>&#46; These consist of &#40;a&#41; a section of transmission line of length <span class="elsevierStyleItalic">l</span><span class="elsevierStyleInf"><span class="elsevierStyleItalic">a</span></span> with characteristic impedance <span class="elsevierStyleItalic">Z</span><span class="elsevierStyleInf">0</span>&#44; inserted between the load element and the antenna&#44; &#40;b&#41; an open-circuit stub of length <span class="elsevierStyleItalic">l</span><span class="elsevierStyleInf">oc</span> and &#40;c&#41; a short-circuit stub of length <span class="elsevierStyleItalic">l</span><span class="elsevierStyleInf">sc</span>&#44; both of them in parallel at the feed point of the antenna&#46; Case &#40;d&#41; corresponds to the antenna-coupled detector without impedance matching&#46; In order to evaluate the performance of these structures&#44; a gold dipole tuned to capture the infrared radiation at 10&#46;6<span class="elsevierStyleHsp" style=""></span>&#956;m was used as a proof of concept &#40;2&#46;9<span class="elsevierStyleHsp" style=""></span>&#956;m long&#44; 200<span class="elsevierStyleHsp" style=""></span>nm width and 100<span class="elsevierStyleHsp" style=""></span>nm thick&#41; and a niobium microbolometer was used as the load element &#40;250<span class="elsevierStyleHsp" style=""></span>nm with&#44; 250<span class="elsevierStyleHsp" style=""></span>nm long and 100<span class="elsevierStyleHsp" style=""></span>nm thick&#41;&#46;</p><elsevierMultimedia ident="fig0005"></elsevierMultimedia><p id="par0030" class="elsevierStylePara elsevierViewall">The structures were placed on a semi-infinite SiO<span class="elsevierStyleInf">2</span> substrate and a 10&#46;6<span class="elsevierStyleHsp" style=""></span>&#956;m linearly polarized plane-wave was used for far-field illumination &#40;with arbitrary irradiance of 117<span class="elsevierStyleHsp" style=""></span>W&#47;cm<span class="elsevierStyleSup">2</span>&#41;&#44; with its polarization set to match that of the antenna&#46; The numerical analysis was performed by using the software package COMSOL Multi-Physics 3&#46;5a and the numerical model was built using all the optical properties of materials reported at 10&#46;6<span class="elsevierStyleHsp" style=""></span>&#956;m wavelength &#40;Au&#58; <span class="elsevierStyleItalic">n</span><span class="elsevierStyleHsp" style=""></span>&#61;<span class="elsevierStyleHsp" style=""></span>11&#46;72<span class="elsevierStyleHsp" style=""></span>&#43;<span class="elsevierStyleHsp" style=""></span>70&#46;86<span class="elsevierStyleItalic">i</span>&#44; SiO<span class="elsevierStyleInf">2</span>&#58; <span class="elsevierStyleItalic">¿</span><span class="elsevierStyleInf"><span class="elsevierStyleItalic">r</span></span><span class="elsevierStyleHsp" style=""></span>&#61;<span class="elsevierStyleHsp" style=""></span>4&#46;84 and Nb&#58; <span class="elsevierStyleItalic">¿</span><span class="elsevierStyleInf"><span class="elsevierStyleItalic">r</span></span><span class="elsevierStyleHsp" style=""></span>&#61;<span class="elsevierStyleHsp" style=""></span>3&#46;8&#44; <span class="elsevierStyleItalic">&#963;</span><span class="elsevierStyleHsp" style=""></span>&#61;<span class="elsevierStyleHsp" style=""></span>6e6<span class="elsevierStyleHsp" style=""></span>S&#47;m &#40;<a class="elsevierStyleCrossRef" href="#bib0050">Palik&#44; 1991</a>&#41;&#46;</p><p id="par0035" class="elsevierStylePara elsevierViewall">The power in the microbolometer was measured by integrating the average resistive heating and used as measure of the energy transfer&#46; Scattering boundary conditions were used in the FEM simulations and tetrahedral elements were used to discretize the computational domain&#46; This process was performed considering the three cases of impedance matching structures and a sweep of physical lengths in terms of the wavelength&#44; to determine the one that best matches impedances between the dipole and the microbolometer&#46;</p></span><span id="sec0015" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">3</span><span class="elsevierStyleSectionTitle" id="sect0025">Results</span><p id="par0040" class="elsevierStylePara elsevierViewall">As it was mentioned before&#44; three different matching structures were used in this study&#46; In case &#40;a&#41; the matching structure was a section of a bifilar microstrip transmission line between the antenna and the microbolometer&#46; Case &#40;b&#41; was an open-circuit stub connected directly to the microbolometer&#46; Finally case &#40;c&#41; a short-circuit was evaluated&#46; All of the purposed matching structures had their transversal sections as wide as the transversal section of the dipole arms&#46; Different lengths for the three cases were considered in order to evaluate the length that best matches the impedance between the coupled devices&#46; Resistive heating <span class="elsevierStyleItalic">vs</span> the length of the structure for the three cases is showed in <a class="elsevierStyleCrossRef" href="#fig0010">Fig&#46; 2</a>&#46;</p><elsevierMultimedia ident="fig0010"></elsevierMultimedia><p id="par0045" class="elsevierStylePara elsevierViewall">It can be noticed that cases &#40;a&#41; and &#40;b&#41; are the cases where the device response is higher&#46; The absence of matching structure is used as a reference mark for the comparison&#46; The case that offers better impedance matching is case &#40;a&#41;&#44; where a peak response of 900<span class="elsevierStyleHsp" style=""></span>nW is presented when length of the matching structure is 0&#46;28<span class="elsevierStyleItalic">&#955;</span>&#44; which is very similar to what the theory at microwave frequencies sets <span class="elsevierStyleItalic">i&#46;e&#46;</span> 0&#46;25<span class="elsevierStyleItalic">&#955;</span>&#46; Case &#40;b&#41; offers a maximum response of 840<span class="elsevierStyleHsp" style=""></span>nW when the length is 0&#46;122<span class="elsevierStyleItalic">&#955;</span><span class="elsevierStyleHsp" style=""></span>&#8773;<span class="elsevierStyleHsp" style=""></span><span class="elsevierStyleItalic">&#955;</span>&#47;8&#44; while case &#40;c&#41; offers a maximum response of 450<span class="elsevierStyleHsp" style=""></span>nW when the length is 0&#46;25<span class="elsevierStyleItalic">&#955;</span>&#46; These maximum responses of all the three matching cases are higher than the response without matching technique &#40;250<span class="elsevierStyleHsp" style=""></span>nW&#41;&#46; With these results it is clear that when THz radiation incides on the antenna&#44; electrical current in induced&#44; this electrical current causes Joule&#39;s heating&#46; As high as the power is&#44; as good is the antenna-coupled microbolometer response&#46; Finally&#44; it could be noticed by means of computer simulations that in case &#8220;a&#8221; &#40;transmission line section&#41; which presents the best response &#40;0&#46;28<span class="elsevierStyleItalic">&#955;</span>&#44; 900<span class="elsevierStyleHsp" style=""></span>nW&#41;&#44; the antenna input impedance is 74&#46;16&#8211;103&#46;46<span class="elsevierStyleItalic">i</span><span class="elsevierStyleHsp" style=""></span>&#937;&#44; a very close value to those presented in dipole antennas&#46;</p></span><span id="sec0020" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleLabel">4</span><span class="elsevierStyleSectionTitle" id="sect0030">Discussion</span><p id="par0050" class="elsevierStylePara elsevierViewall">In classical antenna and transmission line theory it is well-known that a <span class="elsevierStyleItalic">&#955;</span>&#47;4 impedance transformer&#44; is a component consisting of a length of transmission line or waveguide exactly one-quarter of the wavelength &#40;<span class="elsevierStyleItalic">&#955;</span>&#41; long and terminated in some impedance&#46; These matchers are used at radio frequencies of upper VHF or higher up to microwave to match impedances between transmission lines with transmitting or receiving antennas&#46; In this work impedance matchers are purposed to match impedance between lithographic dipole antennas and microbolometers in order to ensure the maximum power transfer from the antenna to the microbolometer&#46; It could be noticed in this work that the structure that offers a better impedance matching between lithographic dipoles and microbolometers is the one that considers the inclusion of a section of transmission line of certain length &#40;case &#40;a&#41;&#41;&#44; resulting in a length of 0&#46;28<span class="elsevierStyleItalic">&#955;</span> which is very similar to a <span class="elsevierStyleItalic">&#955;</span>&#47;4 impedance transformer used at lower frequencies&#46; This 0&#46;28<span class="elsevierStyleItalic">&#955;</span> impedance transformer improves the antenna-coupled microbolometer response by 360&#37; compared with the case where no matchers are used&#46; The other matching structures that offer good impedance matching &#40;cases &#40;b&#41; and &#40;c&#41;&#41; are the 0&#46;122<span class="elsevierStyleItalic">&#955;</span> open-circuit and the <span class="elsevierStyleItalic">&#955;</span>&#47;4 short-circuit stubs&#44; offering improvements of 336&#37; and 180&#37; respectively&#46; It is noteworthy that cases &#40;a&#41; and &#40;b&#41; are very similar in terms of response but different in terms of structure length &#40;one is about double of the other&#41;&#46;</p></span><span id="sec0025" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0035">Conflict of interest</span><p id="par0055" class="elsevierStylePara elsevierViewall">The authors have no conflicts of interest to declare&#46;</p></span></span>"
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        "resumen" => "<span id="abst0005" class="elsevierStyleSection elsevierViewall"><p id="spar0005" class="elsevierStyleSimplePara elsevierViewall">Metallic structures were evaluated to determine the one best matches impedance between lithographic antennas and microbolometers&#46; The best was a 0&#46;28<span class="elsevierStyleItalic">&#955;</span> transmission line section between the antenna and the microbolometer&#44; 12&#37; longer than what RF theory sets&#44; whose behaviour was compared with other structures&#46; The response was 360&#37; higher&#46;</p></span>"
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