Determination of the propagation constants of dielectric-waveguide eigenmodes by methods of potential theory
type: Item
instance of: scholarly article
title: Determination of the propagation constants of dielectric-waveguide eigenmodes by methods of potential theory
zbMATH Open document ID: 0949.78012
author: E. M. Karchevskij
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-02T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 78A50
Mathematics Subject Classification ID: 45E99
zbMATH DE Number: 1467861
zbMATH Keywords: dielectric waveguide
zbMATH Keywords: propagation constants
zbMATH Keywords: single-layer potential
zbMATH Keywords: singular integral equations
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467861