Solutions to the Helmholtz equation for TE-guided waves in a three-layer structure with Kerr-type nonlinearity

DOI10.1088/0305-4470/35/50/309zbMath1038.78016OpenAlexW2075874618MaRDI QIDQ4468235

Yu. V. Shestopalov, H. W. Schürmann, Valery Serov

Publication date: 10 June 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/35/50/309

zbMATH Keywords

Volterra equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Composite media; random media in optics and electromagnetic theory (78A48) Lasers, masers, optical bistability, nonlinear optics (78A60) Volterra integral equations (45D05) Solutions to PDEs in closed form (35C05)

Related Items (6)

On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide ⋮ On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides ⋮ On spectral properties of the Sturm-Liouville operator with power nonlinearity ⋮ Theory of nonlinear guided electromagnetic waves in a plane two-layered dielectric waveguide ⋮ Diffraction of Electromagnetic Waves by a Layer Filled with a Kerr-Type Nonlinear Medium ⋮ Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem

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