Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves.

Autor:	Valovik, D. V.
Předmět:	PERTURBATION theory ELECTROMAGNETIC wave propagation MAXWELL equations NONLINEAR waves NONLINEAR equations EIGENVALUES
Zdroj:	Computational Mathematics & Mathematical Physics; Jan2021, Vol. 61 Issue 1, p103-117, 15p
Abstrakt:	The article deals with the problem of propagation of a two-frequency electromagnetic wave in a waveguide filled with a nonlinear medium. A two-frequency wave is the sum of two monochromatic TE waves with different frequencies. The permittivity of the waveguide is characterized by a very general nonlinearity function corresponding to self-action effects. It is shown that, under certain conditions, the two-frequency wave is an eigenmode of the waveguide. From a mathematical point of view, the problem reduces to a nonlinear two-parameter eigenvalue problem for the system of (nonlinear) Maxwell's equations. The main result of the article is the proof of the existence of nonlinearizable solutions of the problem. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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