Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium

Influence of small periodic perturbation in periodic dielectric medium on propagation of ТМ-polarized waves is investigated by the Krylov-Bogolyubov averaging method. As a result of periodic perturbation inside the allowed bands of unperturbed medium forbidden bands appear. The appearance of forbidd...

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Published in:Вопросы атомной науки и техники
Date:2001
Main Authors: Kramarenko, K.Yu., Khizhnyak, N.A.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2001
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/78521
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium / K.Yu. Kramarenko, N.A. Khizhnyak // Вопросы атомной науки и техники. — 2001. — № 1. — С. 94-95. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:Influence of small periodic perturbation in periodic dielectric medium on propagation of ТМ-polarized waves is investigated by the Krylov-Bogolyubov averaging method. As a result of periodic perturbation inside the allowed bands of unperturbed medium forbidden bands appear. The appearance of forbidden bands is conditioned by a parametric resonance between spatial harmonics of perturbation and plane waves, on which the solution of the wave equation in periodic medium is decomposed. The location, number and width of these bands are determined.
ISSN:1562-6016