Electromagnetic non-polarized symmetric hybrid wave propagation in a plane waveguide with nonlinear anisotropic permittivity

DOI10.1134/S199508021808005XzbMath1406.78013OpenAlexW2896734325WikidataQ129085930 ScholiaQ129085930MaRDI QIDQ1711357

Valeria Yu. Kurseeva

Publication date: 17 January 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508021808005x

zbMATH Keywords

Maxwell's equationsKerr nonlinearitytwo-parameter eigenvalue problemsaturated nonlinearitynon-polarized symmetric electromagnetic wavesplane nonlinear anisotropic waveguide

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Cites Work

• On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium
• On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity
• Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity
• The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide
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