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/).
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 -