Determination of the propagation constants of dielectric-waveguide eigenmodes by methods of potential theory (Q1569324)

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.