On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity

DOI10.1063/1.4964279zbMath1353.78020OpenAlexW2529670637MaRDI QIDQ2832732

Dmitry V. Valovik, Yury G. Smirnov

Publication date: 14 November 2016

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

Full work available at URL: https://doi.org/10.1063/1.4964279

zbMATH Keywords

transmission eigenvalue problemnonlinear (Kerr) medium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Maxwell equations (35Q61) Systems of nonlinear higher-order PDEs (35G50)

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Cites Work

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• Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem
• 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
• Problem of nonlinear coupled electromagnetic TE-TE wave propagation
• Propagation of TM waves in a Kerr nonlinear layer

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