The axial-symmetric wave diffraction by finite conical screens in a dielectric sphere

Consider wave diffraction by a finite cone or frustum inside a dielectric sphere. It is known that in the wave diffraction by a finite cone in homogeneous medium, the solution of the problem can be reduced to the linear algebraic infinite equations system (LAIES) which has a convolution operator form in a static limit. The purpose of this paper is to separate the convolution operators in our problems and apply their properties for the regularization procedure.