Problem of nonlinear coupled electromagnetic TE-TE wave propagation

DOI10.1063/1.4817388zbMath1296.78006OpenAlexW2043207963MaRDI QIDQ5407669

Dmitry V. Valovik, Yury G. Smirnov

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4817388

zbMATH Keywords

Maxwell equationsKerr lawTE wave

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (15)

Guided electromagnetic waves propagating in a two-layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity ⋮ Perturbation method in the theory of propagation of two-frequency electromagnetic waves in a nonlinear waveguide. I: TE-TE waves ⋮ On the problem of propagation of nonlinear coupled TE-TM waves in a layer ⋮ Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide ⋮ \(Y\)-mapping method for nonlinear eigenvalue problems ⋮ Maxwell’s Equations with Nonlinear Inhomogeneous Constitutive Relation: Guided Waves in a Film Filled with Inhomogeneous Kerr Medium ⋮ Nonlinear coupled electromagnetic wave propagation: saturable nonlinearities ⋮ Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics ⋮ Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation ⋮ Propagation of electromagnetic waves in an open planar dielectric waveguide filled with a nonlinear medium. II: TM waves ⋮ Nonlinear coupled wave propagation in a \(n\)-dimensional layer ⋮ Problem of coupled electromagnetic TE-TE wave propagation in a layer filled with nonlinear medium with saturation ⋮ On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity ⋮ Multiparameter eigenvalue problems and their applications in electrodynamics ⋮ Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems

Cites Work

• Unnamed Item
• Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity
• Propagation of TM waves in a layer with arbitrary nonlinearity
• Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity
• Coupled electromagnetic transverse-electric–transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity
• On the problem of nonlinear coupled electromagnetic transverse-electric–transverse magnetic wave propagation

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