Journal of Nonlinear Mathematical Physics

Volume 11, Issue 2, May 2004, Pages 256 - 268

Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide

Authors
Y. Smirnov, H.W. Schürmann, Y. Shestopalov
Corresponding Author
Y. Smirnov
Received 24 October 2003, Accepted 28 January 2004, Available Online 1 May 2004.
DOI
10.2991/jnmp.2004.11.2.10How to use a DOI?
Abstract

We consider the propagation of TE-polarized electromagnetic waves in cylindrical dielectric waveguides of circular cross section filled with lossless, nonmagnetic, and isotropic medium exhibiting a local Kerr-type dielectric nonlinearity. We look for axially-symmetric solutions and reduce the problem to the analysis of the associated cubic-nonlinear equation. We show that the solution in the form of a TE-polarized electromagnetic wave exists and can be obtained by iterating a cubic-nonlinear integral equation. We derive the associated dispersion equation and prove that it has a root that determines this solution.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 2
Pages
256 - 268
Publication Date
2004/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.2.10How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Y. Smirnov
AU  - H.W. Schürmann
AU  - Y. Shestopalov
PY  - 2004
DA  - 2004/05/01
TI  - Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide
JO  - Journal of Nonlinear Mathematical Physics
SP  - 256
EP  - 268
VL  - 11
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.2.10
DO  - 10.2991/jnmp.2004.11.2.10
ID  - Smirnov2004
ER  -