Numerical solution of problem of electromagnetic wave diffraction by a perfectly conducting body of small thickness

Abstract

The problem of electromagnetic wave diffraction by perfectly conducting body of small thickness is considered. The classic model, based on the solution of the boundary value problem for the Maxwell equations by the method of boundary integral equations is used. The authors applied an approach, based on reducing the problem to integral equations with hypersingular integrals in the sense of the Hadamard finite value. These equations are solved numerically using the methods of piecewise constant approximations and collocations. The numerical experiment shows that in the case of objects with a small bodily thickness, to improve the accuracy of the numerical solutions, it is necessary to improve the accuracy of calculating the integrals with weak singularity. We used the quadrature formulas, based on the additional splitting of main surface mesh cells into smaller cells and smoothing of singularity of integrand function in small neighborhood of the singular point.