On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium
Yury Smirnov,
Eugene Smolkin and
Yury Shestopalov
Journal of Electromagnetic Waves and Applications, 2018, vol. 32, issue 11, 1389-1408
Abstract:
Propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear inhomogeneous metal–dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations where spectral parameters are the wave propagation constants. The setting under study is reduced to a new type of nonlinear eigenvalue problem. An analytical method for solving this problem is elaborated. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tewaxx:v:32:y:2018:i:11:p:1389-1408
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DOI: 10.1080/09205071.2018.1438929
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