Formation of the Source Function Generating a Specified Radiation Field

The spectrum of symmetric modes forming a specified distribution of the radiation field is calculated using solution to the self-consistent problem of radiation from the end of a circular dielectric waveguide. The self-consistent problem is reduced to solution of a system of integral equations. In the case of the synthesis of the source function in the space of eigenfunctions of the boundary value problem for a circular dielectric waveguide, these equations are the Fredholm integral equations of the first kind.