The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide

被引:16
|
作者
Smirnov, Yury [1 ]
Smolkin, Eugene [1 ]
Kurseeva, Valery [1 ]
机构
[1] Penza State Univ, Dept Math & Supercomp, Penza, Russia
关键词
Non-polarized symmetric electromagnetic waves; Kerr nonlinearity; planar nonlinear waveguide; Maxwell's equations; two-parameter eigenvalue problem;
D O I
10.1080/00036811.2017.1395865
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Paper focuses on the propagation of monochromatic nonlinear symmetric hybrid waves in a planar dielectric waveguide filled with nonlinear medium. The wave propagation problem is reduced to a transmission eigenvalue problem. Eigenvalues of the problem depend on an additional parameter and correspond to propagation constant. Using perturbation method, it is theoretically proved the existence of a finite number of isolated eigenvalues and therefore, guide waves. The found guide regime is novel in the theory of nonlinear waveguides. Numerical results are presented.
引用
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页码:483 / 498
页数:16
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