Determination of the propagation constants of dielectric-waveguide eigenmodes by methods of potential theory
This paper is devoted to determining the propagation constants of eigenmodes of dielectric waveguides by methods of potential theory. The author has obtained a homogeneous set of real singular integral equations by representing the desired functions in the form of single-layer potentials. Conditions that are sufficient for the nontrivial solutions of this set to correspond to nontrivial solutions of the problem considered are presented. A method for calculating approximate values of the propagation constants is proposed. The approach considered in this paper allows one to economize computing time.
scientific article; zbMATH DE number 1467861