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Распространение и преобразование волн в средах с одномерной периодичностью

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На основе различных аналитических методов (теория возмущений в борновском приближении и в условиях брэгговского отражения, а также теория связанных волн и ее модификация) получены и обсуждены приближенные аналитические выражения для полей электромагнитных волн в ограниченных одномерных периодических диэлектрических структурах и для коэффициентов отражения от них. Установлены области применимости каждого из полученных аналитических решений и показано, что наиболее широкую область применимости имеет модифицированный метод связанных волн, справедливый одновременно для малых и больших периодов модуляции при заметных ее глубинах. С его помощью проведен расчет коэффициентов отражения от таких структур, как функции частоты падающей волны с учетом их конечных размеров, различия ограничивающих сред, поглощения, малой нелинейности и слабой апериодичности в них. Ил. 8. Библиогр. ссылок 62 (65 назв.)

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English fulltext is available at DOI: 10.1070/PU1993v036n01ABEH002061
PACS: 41.20.Jb
DOI: 10.3367/UFNr.0163.199301b.0063
URL: https://ufn.ru/ru/articles/1993/1/b/
Цитата: Карпов С Ю, Столяров С Н "Распространение и преобразование волн в средах с одномерной периодичностью" УФН 163 (1) 63–89 (1993)
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English citation: Karpov S Yu, Stolyarov S N “Propagation and transformation of electromagnetic waves in one-dimensional periodic structures” Phys. Usp. 36 (1) 1–22 (1993); DOI: 10.1070/PU1993v036n01ABEH002061

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