An effective solution of electromagnetic integral equations in the boundary value problems of millimeter wave diffraction based on atomic functions

Abstract

A great number of electromagnetic (EM) problems, can be formulated in the form of L(J)=E, where L is a known linear operator, E is a known excitation function, and J is the unknown response function. L may be an integral operator or an integrodifferential operator depending on different EM problems. An appropriate tool, widely used to investigate EM problems, is the Green's function technique. Once the Green's function for a given EM problem is known, the above-mentioned equation for this EM problem takes an integral form with its relevant Green's function as the integral kernel. The objective of the study is to efficiently solve J once L and E are specified.