DocumentCode :
743897
Title :
Efficient Evaluation of Weakly Singular Integrals Arising From Electromagnetic Surface Integral Equations
Author :
Sheng, W.T. ; Zhu, Z.Y. ; Yang, Kun ; Tong, Mei Song
Author_Institution :
School of Electronics and Information Engineering, Tongji University, Shanghai, China
Volume :
61
Issue :
6
fYear :
2013
fDate :
6/1/2013 12:00:00 AM
Firstpage :
3377
Lastpage :
3381
Abstract :
Solving electromagnetic (EM) problems by integral equation methods relies on the accurate evaluation of singular integrals related to the Green\´s function. In the method of moments (MoM) with the Rao-Wilton-Glisson (RWG) basis function for solving surface integral equations (SIEs), the gradient operator on the scalar Green\´s function can be moved onto the basic function and testing function, resulting in a 1/R weak singularity in the integral kernel, where R is the distance between an observation point and a source point. The weakly singular integral can be evaluated with the well-known Duffy\´s method, but it requires a two-fold numerical integration. In this work, we develop a novel approach to evaluate the singular integral by using a local polar coordinate system. The approach can automatically cancel the singularity and reduce the integral to a one-fold numerical integration by deriving a closed-form expression for the integral over the polar coordinate. Numerical examples are presented to demonstrate the effectiveness of the approach.
Keywords :
Antennas; Bistatic radar; Equations; Green´s function methods; Integral equations; Scattering; Electromagnetic scattering; integral equations; method of moments (MoM); singular integrals;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.2013.2253296
Filename :
6482187
Link To Document :
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