Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide
type: Item
instance of: scholarly article
title: Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide
zbMATH Open document ID: 1383.78025
DOI: 10.1134/S0965542517080127
author: E. Yu. Smol'kin
author: D. V. Valovik
published in: Computational Mathematics and Mathematical Physics
publication date: 2017-12-06T00:00:00Z
review text: Propagation of coupled polarized electromagnetic waves in a cylindrical waveguide filled with an inhomogeneous, nonlinear medium is studied. The linearity is given by Kerr's law. The problem is reduced to a system of nonlinear ordinary differential equations on an interval. The problem is then further reduced to a system of integral equations. The existence of so-called coupled eigenvalues is proven. As a result of the authors' analysis, the existence of coupled TE-TM waves propagating in cylindrical waveguides (without attenuation) filled with an inhomogeneous medium is shown. Their result generalizes previous work for homogeneous dielectric waveguides and circular dielectric waveguides with a linear medium.
reviewed by: Eric Stachura
Mathematics Subject Classification ID: 78A50
Mathematics Subject Classification ID: 35Q61
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 45C05
zbMATH DE Number: 6816217
zbMATH Keywords: nonlinear waveguide
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: polarized TE and TM waves
zbMATH Keywords: nonlinear two-parameter eigenvalue problem
zbMATH Keywords: Kerr nonlinearity
zbMATH Keywords: propagation of electromagnetic waves
MaRDI profile type: Publication
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full work available at URL: s0965542517080127
OpenAlex ID: W2751190634
description: scientific article; zbMATH DE number 6816217