Electromagnetic Non-Polarized Symmetric Hybrid Wave Propagation in a Plane Waveguide with Nonlinear Anisotropic Permittivity

被引：3

作者：

Kurseeva V.Y. ^{[1
]}

机构：

[1] Penza State University, Krasnaya ul. 40, Penza

来源：

Lobachevskii Journal of Mathematics | 2018年 / 39卷 / 8期

基金：

俄罗斯基础研究基金会;

关键词：

Kerr nonlinearity; Maxwell’s equations; Non-polarized symmetric electromagnetic waves; plane nonlinear anisotropic waveguide; saturated nonlinearity; two-parameter eigenvalue problem;

D O I：

10.1134/S199508021808005X

中图分类号：

学科分类号：

摘要：

Paper focuses on the propagation of monochromatic nonlinear symmetric hybrid waves in a planar dielectric waveguide filled with nonlinear anisotropic 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 a perturbation method, it is theoretically proved the existence of a finite number of isolated eigenvalues and, therefore, guide waves. Numerical results are presented. © 2018, Pleiades Publishing, Ltd.

引用

页码：1075 / 1089

页数：14

共 39 条

[1] Electromagnetic non-polarized symmetric hybrid wave propagation in nonlinear media with saturation
Kurseeva, V. Yu
2018 DAYS ON DIFFRACTION (DD), 2018, : 198 - 203
[2] The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide
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Smolkin, Eugene
Kurseeva, Valery
APPLICABLE ANALYSIS, 2019, 98 (03) : 483 - 498
[3] On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium
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Smolkin, Eugene
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[4] Electromagnetic TE wave propagation in a two-layered waveguide with nonlinear permittivity
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PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION 2015, 2015, : 189 - 194
[5] Operator Pencil Approach in an Electromagnetic Problem of Symmetric Wave Propagation in a Plane Shielded Waveguide
Martynova, V. Yu
Moskaleva, M. A.
Raschetova, D., V
Valovik, D. V.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (07) : 1363 - 1370
[6] Operator Pencil Approach in an Electromagnetic Problem of Symmetric Wave Propagation in a Plane Shielded Waveguide
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M. A. Moskaleva
D. V. Raschetova
D. V. Valovik
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[7] On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium
Smirnov, Yury
Smolkin, Eugene
Shestopalov, Yury
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[8] Propagation of TE waves in a plane dielectric waveguide with nonlinear permittivity
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PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON 2014 DAYS ON DIFFRACTION (DD), 2014, : 177 - 180
[9] Electromagnetic Symmetric Hybrid Wave Propagation Problem in a Medium with Arbitrary Nonlinear Saturation
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Valovik, D. V.
2019 PHOTONICS & ELECTROMAGNETICS RESEARCH SYMPOSIUM - FALL (PIERS - FALL), 2019, : 2571 - 2578
[10] Guided electromagnetic waves propagating in a plane dielectric waveguide with nonlinear permittivity
Smirnov, Yury G.
Valovik, Dmitry V.
PHYSICAL REVIEW A, 2015, 91 (01):

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