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- W4367307583 abstract "A transmission eigenvalue problem for nonlinear Maxwell’s equations that describes propagation of monochromatic transverse electric waves in a dielectric film having cubic inhomogeneous permittivity sandwiched between two half-spaces with constant permittivities is considered. It is proved that even if the nonlinearity coefficient is small, there exist guided waves with as well as without linear counterparts. The found theoretical results predict existence of a new type of nonlinear guided waves. The paper suggest an original mathematical approach that allows one to determine asymptotic distribution of the eigenvalues and zeros of the eigenfunctions. Numerical results are given to illustrate the theoretical findings." @default.
- W4367307583 created "2023-04-29" @default.
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- W4367307583 date "2023-04-28" @default.
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- W4367307583 title "Maxwell’s Equations with Nonlinear Inhomogeneous Constitutive Relation: Guided Waves in a Film Filled with Inhomogeneous Kerr Medium" @default.
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- W4367307583 doi "https://doi.org/10.1137/22m1489587" @default.
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