Abstract
When dealing with time-harmonic electromagnetic (EM) scattering problems of perfect electric conductors (PEC), the boundary integral method (BIM) is one of the standard ways to solve the Maxwell's equations as it reduces the dimension of the problem by one. The standard boundary integral method to solve EM scattering by PEC relies on finding the induced surface current densities [1]. The electric fields, E, which are the quantities of physical interest, are calculated as by post-processing. However, the standard BIM cannot calculate the physical fields accurately near or on surfaces due to the strong, hyper and near singularities of the Green's function and its derivatives. Also when applying the standard BIM to multi-scale problems where two surfaces are close to each other, the inherent singular behaviour due to the kernel on one surface will have impact on the accuracy on the integral taken over the adjacent surface that is close by (see Fig. 1). These two unavoidable drawbacks significantly affect the effectiveness of the standard BIM to solve multi-scale EM problems.
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