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The efficient implementation of IE-FFT algorithm with combined field integral equation for solving electromagnetic scattering problems

Published online by Cambridge University Press:  01 June 2020

Seung Mo Seo Open the ORCID record for Seung Mo Seo [Opens in a new window]
Seung Mo Seo*
Affiliation:
Agency for Defense Development, Daejeon, Korea
*
Author for correspondence: Seung Mo Seo, E-mail: seungmos@gmail.com
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Abstract

An integral equation-fast Fourier transform (IE-FFT) algorithm is applied to the electromagnetic solutions of the combined field integral equation (CFIE) for scattering problems by an arbitrary-shaped three-dimensional perfect electric conducting object. The IE-FFT with CFIE uses a Cartesian grid for known Green's function to considerably reduce memory storage and speed up CPU time for both matrix fill-in and matrix vector multiplication when used with a generalized minimal residual method. The uniform interpolation of the Green's function on an equally spaced Cartesian grid allows a global FFT for field interaction terms. However, the near interaction terms do not take care for the singularity of the Green's function and should be adequately corrected. The IE-FFT with CFIE does not always require a suitable preconditioner for electrically large problems. It is shown that the complexity of the IE-FFT with CFIE is found to be approximately O(N1.5) and O(N1.5log N) for memory and CPU time, respectively.

Keywords

Combined field integral equationfast Fourier transformintegral equationmethod of moments
Type
EM Field Theory
Information
International Journal of Microwave and Wireless Technologies , Volume 13 , Issue 2 , March 2021 , pp. 137 - 143
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Copyright
Copyright © Cambridge University Press and the European Microwave Association 2020

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