An External Calibration Method for Compensating for the Mutual Coupling Effect in Large Interferometric Aperture Synthesis Radiometers

<table>Circuit model for analyzing antenna coupling effects. Superscript “<svg height="7.1875" id="M17" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.2874999 7.1875" width="7.2874999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑜</tspan>
</text>
</g>
</g>
</svg>” denotes open circuit voltage, and subscripts <svg height="9.9250002" id="M18" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.925)">
<g transform="translate(72,-64.06)">
<text transform="matrix(1,0,0,-1,-71.95,64.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑖</tspan>
</text>
</g>
</g>
</svg>, <svg height="12.675" id="M19" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 7.1374998 12.675" width="7.1374998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.675)">
<g transform="translate(72,-61.86)">
<text transform="matrix(1,0,0,-1,-71.95,64.25)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑗</tspan>
</text>
</g>
</g>
</svg> denote particular elements of the array. <svg height="14.2375" id="M20" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 20.5625 14.2375" width="20.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑍</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.3,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐿</tspan>
</text>
</g>
</g>
</svg> is the load impedance, <svg height="10.325" id="M21" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
</text>
</g>
</g>
</svg> is the total number of antennas.</table>

International Journal of Antennas and Propagation

fig1

Figure 1

Figure 1: An External Calibration Method for Compensating for the Mutual Coupling Effect in Large Interferometric Aperture Synthesis Radiometers 