Volume Singular Integral Equations for Problems of Low-Frequency Scattering of Electromagnetic Waves in Anisotropic Structures

This paper deals with volume singular integral equations describing the problems oflow-frequency scattering of electromagnetic waves in bounded three-dimensional anisotropicstructures. The spectrum of integral operators is studied. The domain of the operator spectrum inthe complex plane for the low-frequency case is presented explicitly. The generalized simpleiteration method is described for the application of which it is necessary to know the area of theoperator spectrum in the complex plane. The collocation method on a uniform grid is used todiscretize the integral equations. Using a fast discrete Fourier transform, this allows constructingan algorithm for fast multiplication of the matrix of a system of linear equations by a vector. Theresults of numerical solution of the considered problems are given.