Abstract
To consider the effects of random surface errors on the radiation pattern of cylindrical reflector antennas, a second-order expansion computation method is proposed to calculate the boresight gain loss and average power pattern. The additional phase error caused by random surface distortion is expanded into a second-order Taylor series expansion in radiation integral. Based on the probabilistic Gaussian distribution of phase errors, the boresight gain loss and average power pattern can be simplified into a second-order expression of a root-mean-square (rms) value of random surface errors. Simulation results on a Ku/Ka-bands parabolic cylindrical reflector illustrate that the second-order expansion can account for the boresight gain loss within a computational accuracy of 0.1 dB when the rms value of random surface errors is below $\lambda /22$ for the Ku-band, as well as $\lambda /24$ for the Ka-band. When the rms value of random surface errors is below $\lambda /50$ for the Ku-band, or $\lambda /100$ for the Ka-band, the second-order expansion can also account for the first sidelobe in an average power pattern.
Published Version
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