pimiПриборы и методы измеренийDevices and Methods of Measurements2220-95062414-0473BNTU10.21122/2220-9506-2025-16-1-24-34pimi-921Research ArticleСредства измеренийMeasuring instrumentsМоделирование лазеров на основе иттербий-эрбиевого стекла с пассивной модуляцией добротности при поперечной накачке линейками лазерных диодовModeling of Passive Q-Switched Yb, Er Glass Lasers with Transverse Pumping by Linear Laser Diode ArraysЯсюкевичА. С.YasukevichA. S.

НИЦ оптических материалов и технологий 

Адрес для переписки:Ясюкевич А.С. -НИЦ оптических материалов и технологий, БНТУ, пр-т Независимости, 65, г. Минск220013, Беларусь e-mail: anatol@bntu.by

Research Center for Optical Materials and Technologies

Address for correspondence:Yasukevich А.S.Research Center for Optical Materials and Technologies, BNTU,Nezalezhnasti Ave., 65, Minsk 220013, Belaruse-mail: anatol@bntu.by

anatol@bntu.byКисельВ. Э.KiselV. E.

НИЦ оптических материалов и технологий 

пр-т Независимости, 65, г. Минск220013

 

Research Center for Optical Materials and Technologies

Nezalezhnasti Ave., 65, Minsk 220013

Белорусский национальный технический университетБеларусьBelarusian National Technical UniversityBelarus2025260320251612434Copyright © Ясюкевич А.С., Кисель В.Э., 20252025Ясюкевич А.С., Кисель В.Э.Yasukevich A.S., Kisel V.E.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://pimi.bntu.by/jour/article/view/921

Разработана математическая модель твердотельного лазера с пассивной модуляцией добротности на основе активных сред со-легированных иттербием и эрбием, с поперечной накачкой линейками лазерных диодов. Усиление в лазере рассчитывается с использованием скоростных уравнений с учётом пространственно-временной зависимости интенсивности излучения накачки в лазерном элементе. Выходные характеристики лазера, энергия импульса, пиковая мощность импульса и его длительность, рассчитываются с использованием аналитических уравнений, полученных для твердотельного лазера с пассивной модуляцией добротности в приближении «медленного» насыщающегося поглотителя. Модель позволяет найти диапазон параметров активного элемента, пассивного модулятора, резонатора и системы накачки, при которых достигается порог генерации и лазер генерирует импульсы с требуемой энергией и длительностью. Результаты моделирования использованы для экспериментальной разработки лазеров с активным элементом на основе фосфатного стекла, соактивированного ионами иттербия и эрбия. Энергия и длительность выходных световых импульсов составляли ≈ 1 мДж, ≈ 40 нс и ≈ 2 мДж и ≈ 20 нс в зависимости от содержания ионов иттербия и эрбия в активном элементе, а также от начального пропускания пассивного модулятора и параметров резонатора.

A mathematical model of a passively Q-switched solid-state laser based on ytterbium and erbium codoped active media with transverse pumping by linear laser diode arrays has been developed. The gain in the laser is calculated using rate equations taking into account the space-time dependence of the pump radiation intensity in the laser element. The output laser characteristics, the pulse energy, the peak pulse power and the pulse duration, are calculated using analytical equations obtained for a passively Q-switched solid-state laser in the approximation of a "slow" saturable absorber. The model allows one to find the range of parameters of the active element, passive modulator, resonator, and pumping system at which the generation threshold is reached and the laser generates pulses with the required energy and duration. Modeling results were used for the experimental development of lasers with an active element based on phosphate glass doped by ytterbium and erbium ions. The energy and duration of the output light pulses were ≈ 1 mJ, ≈ 40 ns, and ≈ 2 mJ and ≈ 20 ns, depending on the content of ytterbium and erbium ions in the active element, as well as on the initial transmission of the passive modulator and the resonator parameters.

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