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On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium

Author

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  • Yury Smirnov
  • Eugene Smolkin
  • Yury Shestopalov

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.

Suggested Citation

  • Yury Smirnov & Eugene Smolkin & Yury Shestopalov, 2018. "On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 32(11), pages 1389-1408, July.
  • Handle: RePEc:taf:tewaxx:v:32:y:2018:i:11:p:1389-1408
    DOI: 10.1080/09205071.2018.1438929
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