Integral equation approach for the propagation of TE-waves in a nonlinear dielectric cylindrical waveguide

被引：35

作者：

Smirnov, Y ^{[1
]}

Schürmann, HW

Shestopalov, Y

机构：

[1] Penza State Univ, Penza 1440017, Russia

[2] Univ Osnabruck, D-49069 Osnabruck, Germany

[3] Karlstad Univ, S-65188 Karlstad, Sweden

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2004年 / 11卷 / 02期

关键词：

D O I：

10.2991/jnmp.2004.11.2.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：256 / 268

页数：13

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