Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies

<table>A 3D EM brick <svg height="16.025" id="M1" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 21.775 16.025" width="21.775" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> immersed in a background medium (<i>①</i>) encloses an anisotropic object (<i>③</i>) which is surrounded by a host medium (<i>②</i>); the EM behavior of <svg height="16.025" id="M2" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 21.775 16.025" width="21.775" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.737)"><path d="M810 587l8 -20q-26 -12 -38 -20q-10 -7 -33 -33q57 -88 57 -190q0 -140 -99 -240q-97 -99 -223 -99q-70 0 -156 33q-75 -27 -161 -27q-61 0 -95 17t-34 46q0 25 30 40t77 15q72 0 170 -52q81 49 203 246q82 134 179 216q-42 59 -121 98q-78 38 -159 38q-145 0 -225 -64
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<g transform="matrix(.012,-0,0,-.012,15.1,15.825)"><path d="M480 416q0 -21 -18 -41q-9 -11 -17 -7q-20 9 -42 9q-62 0 -140 -78q23 -69 88 -192q17 -31 27 -42t20 -11q16 0 62 46l17 -20q-64 -92 -119 -92q-35 0 -70 66q-41 73 -84 187q-36 -30 -62 -61q-27 -115 -35 -172q-41 -8 -78 -20l-6 6l140 612q7 28 0.5 34t-37.5 7l-34 1
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</svg> is captured by the scattering operator <svg height="15.6875" id="M3" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 20.875 15.6875" width="20.875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l-31 22q-32 23 -53.5 41.5t-45 57t-23.5 77.5q0 82 58 132.5t156 50.5q46 0 101 -17l18.5 -6t17 -6t8.5 -3q-4 -55 0 -147z" id="x1D446"></path></g>
<g transform="matrix(.012,-0,0,-.012,8.225,15.475)"><path d="M480 416q0 -21 -18 -41q-9 -11 -17 -7q-20 9 -42 9q-62 0 -140 -78q23 -69 88 -192q17 -31 27 -42t20 -11q16 0 62 46l17 -20q-64 -92 -119 -92q-35 0 -70 66q-41 73 -84 187q-36 -30 -62 -61q-27 -115 -35 -172q-41 -8 -78 -20l-6 6l140 612q7 28 0.5 34t-37.5 7l-34 1
l5 26q38 4 74 13.5t57 17t25 7.5q12 0 4 -32l-104 -443h2q35 38 97 93q39 35 65.5 56t62 41.5t58.5 20.5q19 0 30.5 -10t11.5 -22z" id="x1D458"></path></g><g transform="matrix(.012,-0,0,-.012,14.21,15.475)"><path d="M480 416q0 -21 -18 -41q-9 -11 -17 -7q-20 9 -42 9q-62 0 -140 -78q23 -69 88 -192q17 -31 27 -42t20 -11q16 0 62 46l17 -20q-64 -92 -119 -92q-35 0 -70 66q-41 73 -84 187q-36 -30 -62 -61q-27 -115 -35 -172q-41 -8 -78 -20l-6 6l140 612q7 28 0.5 34t-37.5 7l-34 1
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</svg>.</table>

International Journal of Antennas and Propagation

fig1

Figure 1

Figure 1: Extended Linear Embedding via Green's Operators for Analyzing Wave Scattering from Anisotropic Bodies 