Abstract
We propose a new approximate system of singular integral equations for the mathematical modeling of scattering of electromagnetic waves by a thin elongated defect. The system consists of two singular integral equations of the second kind given in the median line of the cross section of the scatterer. Its form is identical for the TM and TE polarizations of exciting waves. The effective direct (without preliminary analytic regularization) numerical algorithm used for the solution of the problem is based on special quadrature formulas for singular integrals. The applicability of the proposed mathematical model is checked for a closed cylindrical dielectric shell.
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