2006 | OriginalPaper | Chapter
Rigorous Analysis of Extremely Large Spherical Reflector Antennas: EM Case
Authors : E.D. Vinogradova, S.S. Vinogradov, P.D. Smith
Published in: Progress in Industrial Mathematics at ECMI 2004
Publisher: Springer Berlin Heidelberg
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The transmitting spherical reflector antenna (SRA) has a well-known rigorous solution form as a second kind Fredholm system that is well conditioned when truncated to a finite system. The size of such systems for extremely large SRAs require specially designed highly efficient numerical algorithms to make their analysis feasible. Two significant features of the system are that its convolution format admits a computationally rapid implementation of the bi-conjugate gradient method, and at high frequencies, a certain decoupling occurs. These features allow an effective numerical treatment of apertures some thousands of wavelengths.