Integral dispersion equation method for nonlinear eigenvalue problems

DOI10.1134/S00122661200100067zbMath1452.78025MaRDI QIDQ2212356

Yury G. Smirnov

Publication date: 23 November 2020

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

nonlinear mediaKerr nonlinearitypolarized electromagnetic wavesnonlinear boundary eigenvalue problems

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Integral dispersion equation method in the problem on nonlinear waves in a circular waveguide

Cites Work

• Guided electromagnetic waves propagating in a two-layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity
• On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity
• Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide
• Propagation of TM waves in a Kerr nonlinear layer

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