FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

<table>Elliptic-cylindrical cloak. (a) Cartesian coordinates: <svg height="7.1750002" id="M52" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 7.9749999 7.1750002" width="7.9749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.7375" id="M53" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑏</tspan>
</text>
</g>
</g>
</svg> are inner and outer axes; <svg height="10.7375" id="M54" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 16.4375 10.7375" width="16.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
<tspan style="font-size: 12.50px; " x="6.7766261" y="0">𝑎</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.7375" id="M55" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 15.9375 10.7375" width="15.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
<tspan style="font-size: 12.50px; " x="6.7766261" y="0">𝑏</tspan>
</text>
</g>
</g>
</svg> are the perpendicular axes. (b) Transformed coordinates.</table>

International Scholarly Research Notices

FDTD Modeling of a Cloak with a Nondiagonal Permittivity Tensor

Figure 1