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Обзоры актуальных проблем


Самофокусировка и дифракция света в нелинейной среде

,  а,
а Московский государственный университет имени М. В. Ломоносова, Воробьевы горы, Москва, 119991, Российская Федерация

Дан обзор современного состояния теоретических и экспериментальных работ по самофокусировке мощных световых пучков. Вначале рассмотрена качественная картина самофокусировки и обсуждаются возможные механизмы зависимости показателя преломления от интенсивности волны. В теоретической части обзора подробно излагается геометрическая оптика нелинейной среды. Получено выражение для длины самофокусировки как функции параметров пучка (мощности, радиуса, расходимости) на входе в нелинейную среду. Приведены примеры, показывающие роль и характер нелинейных аберраций. Волновая оптика в нелинейной среде развита в квазиоптическом приближении. Учет дифракционных поправок к длине самофокусировки приводит к понятию критической мощности, при которой дифракционная расходимость компенсируется нелинейной рефракцией.
Представлена теория неустойчивости плоской интенсивной волны при ее распространении в нелинейной среде. Рассмотрено формирование собственного оптического волновода с учетом инерционности нелинейного отклика среды. Обсуждаются особенности протекания нелинейных оптических эффектов в поле самофокусирующихся пучков (вынужденное рассеяние в жидкостях). Проведено сопоставление теоретических и экспериментальных данных по длине самофокусировки и критической мощности.
В заключительной части обзора дан перечень основных проблем самофокусировки, требующих своего дальнейшего всестороннего исследования. Кратко обсуждаются вопросы о роли дифракционных эффектов при нелинейных волновых взаимодействиях, таких, как генерация гармоник, двухфотонпое поглощение, параметрическое усиление и т. д.
Таблиц 3, иллюстраций 23, библиографических ссылок 114.

СОДЕРЖАНИЕ
1. Введение
2. Геометрическая оптика нелинейной среды (уравнения, фокальные точки, нелинейные аберрации, нестационарные процессы)
3. Волновая оптика нелинейной среды (дифракционные поправки к длине самофокусировки, формирование собственного оптического волновода, нестационарные процессы)
4. Нелинейные оптические эффекты в поле самофокусирующихся пучков (вынужденное рассеяние в жидкостях, экспериментальные данные, самофокусировка и параметрическое усиление)
5. Заключение (нерешенные проблемы, дифракция при нелинейных волновых взаимодействиях)
Цитированная литература

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PACS: 42.65.Jx, 42.25.Fx, 42.15.Dp, 42.65.Yj, 42.65.Tg, 78.35.+c (все)
DOI: 10.3367/UFNr.0093.196709c.0019
URL: https://ufn.ru/ru/articles/1967/9/c/
Цитата: Ахманов С А, Сухоруков А П, Хохлов Р В "Самофокусировка и дифракция света в нелинейной среде" УФН 93 19–70 (1967)
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English citation: Akhmanov S A, Sukhorukov A P, Khokhlov R V “Self-focusing and diffraction of light in a Nonlinear mediumSov. Phys. Usp. 10 609–636 (1968); DOI: 10.1070/PU1968v010n05ABEH005849

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