Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides

DOI10.1134/S096554251307018XzbMath1299.78015MaRDI QIDQ5413138

E. Yu. Smol'kin, Dmitry V. Valovik, Yury G. Smirnov

Publication date: 28 April 2014

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

zbMATH Keywords

nonlinear integral equationnonlinear transmission eigenvalue problempropagation of surface TE wavestwo-layered dielectric waveguide

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50) Singular nonlinear integral equations (45G05)

Related Items (4)

Nonlinearized nonlinear electromagnetic guided waves in a circle cylindrical waveguide filled with nonlinear dielectric medium ⋮ Integral dispersion equation method in the problem on nonlinear waves in a circular waveguide ⋮ On the existence of the nonlinear leaky TE-polarized waves in a metal-dielectric cylindrical waveguide ⋮ On a nonlinear spectral problem for a dielectric waveguide with Kerr nonlinearity

Cites Work

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• The method of cauchy problem for solving a nonlinear eigenvalue transmission problem for tm waves propagating in a layer with arbitrary nonlinearity
• Propagation of TM waves in a layer with arbitrary nonlinearity
• Propagation of TM waves in a Kerr nonlinear layer

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