On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity

•Phenomenon of nonlinear electromagnetic wave propagation is considered.•The problem is formulated with physically realistic conditions.•It is proved the existence of a novel (nonlinear) guided regime.•The existence of a nonperturbative effect is proved.•An original analytic approach is used to stud...

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Bibliographic Details
Published in:	Applied Mathematical Modelling Vol. 53; pp. 296 - 309
Main Author:	Valovik, D.V.
Format:	Journal Article
Language:	English
Published:	New York Elsevier Inc 01.01.2018 Elsevier BV
Subjects:	Asymptotic methods Comparative analysis Cubic-quintic nonlinearity Eigenvalues Eigenvectors Electromagnetic radiation Helmholtz equations Maxwell’s equations Nonlinear comparison theory Nonlinear eigenvalue problem Nonlinear systems Nonlinearity Periodic variations Plane dielectric waveguide Polynomial nonlinearity Polynomials Propagation Wave propagation Polynomial nonlinearity Nonlinear comparison theory Plane dielectric waveguide Cubic-quintic nonlinearity Nonlinear eigenvalue problem Maxwell’s equations
ISSN:	0307-904X, 1088-8691, 0307-904X
Online Access:	Get full text
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