Решение задачи дифракции на теле вращения, расположенном в диэлектрическом слое

Two methods for solving the problem of diffraction of the plane wave by the dielectric body of revolution located in the homogeneous dielectric layer are proposed. Two methods are compared using the example of the scattering of the plane wave by the homogeneous spheroid and the circular cylinder of finite dimensions located in the layer. The results of calculating the pattern for the case of diffraction by the finite circular cylinder which is immersed in the layer and has variable material characteristics are presented. The wavelength dependences of the pattern for plasmon particles located in the layered medium are obtained.

The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating

A problem of scattering of a monochromatic electromagnetic wave by a homogeneous dielectric body is considered. A part of the boundary of the body is a perfectly conducting thin surface. The problem is reduced to a system of the boundary integral equations containing integrals with strong singularity, the integrals are understood in terms of Hadamard final part. A numerical solution scheme is constructed on the base of approximate solution of these equations using the methods of piecewise-constant approximations and collocation. The constructed numerical scheme is tested on a model example.