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Electromagnetic Guided Waves in a Lossless Cubic-Quintic Nonlinear Waveguide

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Abstract

Paper focuses on the problem of transverse-electric wave propagation in a lossless cubic-quintic nonlinear waveguide. Using an original tool, we study the problem in detail avoiding the use of special functions. It is shown that a waveguide filled with cubic-quintic nonlinear medium supports infinitely many guided waves in the focusing case. The found solutions are split into a finite number of waves having linear counterparts and an infinite number of waves that stay away from any solution to the corresponding linear problem.

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Authors and Affiliations

  1. Penza State University, ul. Krasnaya 40, Penza, 440026, Russia

    D. V. Raschetova, S. V. Tikhov & D. V. Valovik

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  1. D. V. Raschetova
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  2. S. V. Tikhov
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  3. D. V. Valovik
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Correspondence to D. V. Raschetova.

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(Submitted by E. K. Lipachev)

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Raschetova, D.V., Tikhov, S.V. & Valovik, D.V. Electromagnetic Guided Waves in a Lossless Cubic-Quintic Nonlinear Waveguide. Lobachevskii J Math 39, 1108–1116 (2018). https://doi.org/10.1134/S1995080218080085

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  • DOI: https://doi.org/10.1134/S1995080218080085

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