About the choice of auxiliary sources during the solution of the problem of diffraction of a point source field by a dielectric body

A new version of the modified method of discrete sources (MMDSs) is proposed for the solution of the 2D and 3D (vector) problems of diffraction of the point source field by a dielectric body. The case when the source is located at a small distance from a scatterer is considered. The method is tested for the example of the problem of diffraction of a point source field by an infinite dielectric cylinder and a dielectric sphere. It is shown that the discrepancy of the boundary conditions is substantially lower when the suggested variant of the MMDSs is used for various geometries of a scatterer.