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 |
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| Date: | 2001 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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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| _version_ | 1862714461597466624 |
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| author | Kramarenko, K.Yu. Khizhnyak, N.A. |
| author_facet | Kramarenko, K.Yu. Khizhnyak, N.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | 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.
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| first_indexed | 2025-12-07T17:51:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-78521 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T17:51:23Z |
| publishDate | 2001 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Kramarenko, K.Yu. Khizhnyak, N.A. 2015-03-18T17:47:34Z 2015-03-18T17:47:34Z 2001 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. 1562-6016 PACS 41.20. https://nasplib.isofts.kiev.ua/handle/123456789/78521 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. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Theory and technics of particle acceleration Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium Применение метода усреднения Крылова-Боголюбова к задаче о малом периодическом возмущении в периодической слоистой среде Article published earlier |
| spellingShingle | Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium Kramarenko, K.Yu. Khizhnyak, N.A. Theory and technics of particle acceleration |
| title | Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium |
| title_alt | Применение метода усреднения Крылова-Боголюбова к задаче о малом периодическом возмущении в периодической слоистой среде |
| title_full | Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium |
| title_fullStr | Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium |
| title_full_unstemmed | Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium |
| title_short | Application of Krylov-Bogolyubov averaging method to the problem of periodic perturbations in the layered medium |
| title_sort | application of krylov-bogolyubov averaging method to the problem of periodic perturbations in the layered medium |
| topic | Theory and technics of particle acceleration |
| topic_facet | Theory and technics of particle acceleration |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/78521 |
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