Investigation of a numerical method for solving a spectral problem in the theory of dielectric waveguides
type: Item
instance of: scholarly article
title: Investigation of a numerical method for solving a spectral problem in the theory of dielectric waveguides
zbMATH Open document ID: 0987.78008
published in: Russian Mathematics
publication date: 2001-03-01T00:00:00Z
review text: The problem of determination of the constants of propagation of eigen-surface waves of a cylindric dielectric waveguide is considered. The appropriate boundary value problem is formulated. The equivalent system of integral equations is obtained, and several lemmata about the functions, from which the solutions of the system can be derived, are stated. The numerical method for solving the system, that invovles the Galerkin method, is described, and the theorem about its conergence is proved. The numerical experiments show high efficiency of the method.
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 78A30
zbMATH DE Number: 1541426
zbMATH Keywords: spectral problem
zbMATH Keywords: waveguide
zbMATH Keywords: Galerkin method
author: E. M. Karchevskij
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1541426