Perturbation method in the theory of propagation of two-frequency electromagnetic waves in a nonlinear waveguide. I: TE-TE waves

DOI10.1134/S0965542521010097zbMath1460.78010OpenAlexW3134880285MaRDI QIDQ2656396

Dmitry V. Valovik

Publication date: 11 March 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521010097

zbMATH Keywords

perturbation methodMaxwell's equationstwo-parameter eigenvalue problemnonlinear permittivitynonlinear Sturm-Liouville-type problemplanar dielectric waveguideintegral characteristic equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Sturm-Liouville theory (34B24) Antennas, waveguides in optics and electromagnetic theory (78A50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (4)

Maxwell’s Equations with Nonlinear Inhomogeneous Constitutive Relation: Guided Waves in a Film Filled with Inhomogeneous Kerr Medium ⋮ Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer ⋮ Nonlinearized nonlinear electromagnetic guided waves in a circle cylindrical waveguide filled with nonlinear dielectric medium ⋮ Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics

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