vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2020-56-4-459-469vestifm-552Research ArticleФИЗИКАPHYSICSСтатистика флуктуаций энергий импульсов генерации твердотельного лазера на вынужденном комбинационном рассеянииStatistics of pulse enrgy fluctuations in a solid-state Raman laserЧулковР. В.ChulkovR. V.

Чулков Руслан Владимирович – кандидат физико-математических наук, заведующий центром «Нелинейная оптика и активированные материалы»

пр. Независимости, 68-2, 220072,  г. Минск

Ruslan V. Chulkov – Ph. D. (Physics and Mathematics), Head of the Center “Nonlinear optics and activated materials”

Nezavisimosti Ave., 68-2, 220072, Minsk

r.chulkov@dragon.bas-net.byКорожанО. П.KorozhanO. P.

Корожан Ольга Петровна – младший научный сотрудник центра «Нелинейная оптика и активированные материалы»

пр. Независимости, 68-2, 220072,  г. Минск

Olga P. Korozhan – Junior Researcher at the Center “Nonlinear optics and activated materials”

Nezavisimosti Ave., 68-2, 220072, Minsk

o.korozhan@dragon.bas-net.byОрловичВ. А.OrlovichV. A.

Орлович Валентин Антонович – академик Национальной академии наук Беларуси, доктор физико-математических наук, профессор, академик-секретарь Отделения физики, математики и информатики Национальной академии наук Беларуси, научный руководитель центра «Нелинейная оптика и активированные материалы»

пр. Независимости, 68-2, 220072,  г. Минск

Valentin A. Orlovich – Academician of the National Academy of Sciences of Belarus, Dr. Sc. (Physics and Mathematics), Professor, Academician-Secretary of the Department of Physics, Mathematics and Informatics of the National Academy of Sciences of the Republic of Belarus, Supervisor of the Center “Nonlinear optics and activated materials”

Nezavisimosti Ave., 68-2, 220072, Minsk

v.orlovich@dragon.bas-net.byИнститут физики им. Б. И. Степанова Национальной академии наук БеларусиB. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus202031122020564459–469Copyright © Чулков Р.В., Корожан О.П., Орлович В.А., 20202020Чулков Р.В., Корожан О.П., Орлович В.А.Chulkov R.V., Korozhan O.P., Orlovich V.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/552

Приводятся результаты исследования статистики флуктуаций энергий импульсов генерации ВКРлазера с оптической накачкой многомодовыми импульсами наносекундной длительности. Методами численного моделирования системы связанных дифференциальных уравнений для медленно меняющихся амплитуд поля накачки и первых трех стоксовых компонент, выполненных с учетом пространственной неоднородности пучка накачки, спонтанных шумов и оптической обратной связи, обнаружено резкое увеличение амплитуды флуктуаций в нелинейном режиме ВКР-преобразования при согласовании оптической длины резонатора ВКР-лазера с длиной резонатора многомодового лазера накачки. Так, при средней эффективности преобразования в излучение 1-й стоксовой компоненты 3,5–3,8 % расчеты показали возрастание коэффициента вариации (КВ) случайной величины с 9 до 118 %. В линейном режиме ВКР-преобразования, когда эффективность преобразования составляет 0,2–0,03 %, предсказано дальнейшее увеличение значения КВ до 270–500 %. Численно показано, что статистика флуктуаций в условиях согласования длин резонаторов является существенно негауссовой и описывается распределениями плотности вероятности (РПВ) L-вида с максимумами, расположенными вблизи нуля и длинными хвостами. Результаты расчетов количественно подтверждены экспериментом для ВКР-лазера на кристалле нитрата бария в припороговых условиях его работы, когда эффективность преобразования в излучение 1-й стоксовой компоненты не превышала 0,3 %. Резонатор такого лазера был сформирован двумя плоскими зеркалами, обеспечивающими конфигурацию двухпроходной накачки. При возбуждении ВКР-лазера линейно-поляризованными импульсами 2-й гармоники Nd:АИГлазера длительностью 7–8 нс реализован режим работы первого, характеризуемый гиперэкспоненциальными РПВ с КВ, достигающими 480 %, что в 2–2,5 раза превышает их значения для условий однопроходного ВКР.

In this paper, we present the results of the study of the statistics of pulse energy fluctuations in a Raman laser under optical pump by the multimode nanosecond pulses. A system of coupled differential equations for slowly varying envelopes of the pump field and first three Stokes lines was integrated numerically with taking into account spatial inhomogeneity of the pump beam, spontaneous noise, and optical feedback. Data of the numerical simulation revealed a sharp increase in the fluctuation amplitude in the nonlinear regime of Raman frequency conversion when the optical length of the Raman cavity was matched with the cavity length of the multimode pump laser. At a mean 1st Stokes conversion efficiency of 3.5–3.8 %, the calculations showed an increase in the coefficient of variation (CV) of a random value from 9 % to 118 %. In the linear regime of Raman frequency conversion, when the conversion efficiency was 0.2–0.03 %, a further increase in the CV value up to 270–500 % was predicted. It is also numerically shown that the fluctuation statistics under the conditions of the cavity length matching is essentially non-Gaussian and described by the L-type probability density distributions (PDDs) with long tails and maxima located near zero. The numerical data were quantitatively confirmed by an experiment for a Raman laser on a barium nitrate crystal operated near the Raman threshold, when the 1st Stokes conversion efficiency did not exceed 0.3 %. A Raman cavity was formed by two flat mirrors providing a double-pass pump configuration. The Raman laser was excited by the linearly polarized frequency-doubled radiation of a Q-switched Nd:YAG laser generating multimode pulses with a duration of 7–8 ns. A Raman laser operating regime characterized by the hyperexponential PDDs with CVs reaching 480 %, which is 2–2.5 times higher than those observed earlier for the single-pass conditions of stimulated Raman scattering, was realized.

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The authors declare that there are no conflicts of interest present.