Abstract
We develop a constructive method for the investigation of the vector interaction of electromagnetic waves with bodies. As an example, we consider a system of perfectly conducting cylindrical surfaces (screens) and a dielectric cylinder. The arrangement of scatterers and their cross sections are regarded as arbitrary. Problems of this sort are typical of the nondestructive electromagnetic inspection of elongated defects. They are solved by the method of singular integral equations. Integrals with logarithmic singularities, Cauchy-type kernels, and hypersingular integrals (in the sense of Hadamard) were found by using interpolational quadrature formulas. Numerical solutions of integral equations were obtained by the method of mechanical quadratures. We also present some examples of the calculation of the characteristics of diffraction fields in the far-field zone.
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