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Singularity Analysis of the Integral Equation for Three Dimension Vector Fields Scattering

Wang Hao-gan

Abstract

In this paper, the singularity in the integrand of electrical field integral equation (EFIE) for 3-dimensionalvector fields scattering is first analyzed. Two numerical metods for solving the singularity integral equation are developed.One method is the singularity transferring method for calculating integral value containing O(1/R) singularity in its integrand[1];. The other singularity is removed first and the integral contribution of this small area is proved to be zero. Thus, theintegral on the whole integral area can be calculated properly by using numberical method.

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Key concepts: Singularity, Integral equation, Electric-field integral equation, Mathematics, Essential singularity, Mathematical analysis, Summation equation, Dimension (graph theory)