Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide

被引：6

作者：

Valovik, D. V. ^{[1
]}

Smol'kin, E. Yu. ^{[1
]}

机构：

[1] Penza State Univ, Penza 440026, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

nonlinear waveguide; Maxwell's equations; polarized TE and TM waves; nonlinear two-parameter eigenvalue problem; Kerr nonlinearity; propagation of electromagnetic waves; TM WAVES; TE;

D O I：

10.1134/S0965542517080127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the propagation of coupled surface electromagnetic waves in a two-layer cylindrical circular waveguide filled with an inhomogeneous nonlinear medium is considered. A nonlinear coupled TE-TM wave is characterized by two (independent) frequencies omega(e) and omega(m) and two propagation constants and . The physical problem reduces to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The existence of eigenvalues (, ) in proven and intervals of their localization are determined.

引用

页码：1294 / 1309

页数：16