The method of relocation of boundary condition for the problem of electromagnetic wave scattering by perfectly conducting thin objects

A three-dimensional problem of monochromatic electromagnetic wave scattering by perfectly conducting body of small thickness is considered. The numerical method for the solution of this problem, based on the relocation of the boundary condition to the median surface is developed. In this method we state a new boundary value problem in the domain outside this surface. The original shape of the body is taken into account due to the boundary conditions. Further, the resulting problem reduces to a system of two integro-differential equations on the median surface. A numerical scheme for solving these equations is developed. This scheme does not degenerate when the body thickness tends to zero. The developed method has been tested by the example of the problem of electromagnetic wave scattering by the body in the form of a rectangular wing.