An Efficient Method to Calculate the Convolution Based Reaction Integral Using the Analytical Fourier Transform

Gianluigi TIBERI
Agostino MONORCHIO
Marco DEGIORGI
Giuliano MANARA
Raj MITTRA

Publication
IEICE TRANSACTIONS on Electronics   Vol.E90-C    No.2    pp.231-234
Publication Date: 2007/02/01
Online ISSN: 1745-1353
DOI: 10.1093/ietele/e90-c.2.231
Print ISSN: 0916-8516
Type of Manuscript: Special Section LETTER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
Category: Fundamental Theory of Electromagnetic Fields
Keyword: 
electromagnetic scattering,  spectral domain,  near field,  numerical methods,  

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Summary: 
A major step in the numerical solution of electromagnetic scattering problems involves the computation of the convolution based reaction integrals. In this paper a procedure based on the analytical Fourier transform is introduced which allows us to calculate the convolution-based reaction integrals in the spectral domain without evaluating any convolution products directly. A numerical evaluation of the computational cost is presented to show the efficiency of the method when handling electrically large problems.