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The new optimization method of Q-switched quasi-three-level lasers

机译：调Q准三能级激光器的优化新方法

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The aim of work is to develop efficient theoretical model enabling analysis and optimization of Q-switched quasi-three-level lasers. The model consists of two parts: pumping part and Q-switched part, which can be separated in a case of active Q-switching regime. For the pumping of quasi-three-level gain medium the semi-analytical model was developed, enabling the calculations for average occupation of upper laser level for given pump power and pump duration, spatial pump beam profile, length and dopant level of gain medium. Moreover, ground-state-depletion, up-conversion parasitic relaxation and temperature effects were considered in the model. The new approach for optimization of CW regime of quasi-three-level lasers was developed for Q-switched lasers operating with high repetition rates. Moreover, for long pump durations comparable to laser upper level lifetimes, the optimization procedure based on Lagrange multiplier technique was developed. The simple analytical formulae for effective pump duration needed to achieve the quasi-stationary inversion for given pump power density and up-conversion parameter were derived. The model enables the optimization of gain medium length and absorbance, average pump area and out-coupling losses for wide class of quasi-three-level lasers.
机译：工作的目的是开发有效的理论模型，以实现对Q开关准三能级激光器的分析和优化。该模型由两部分组成：泵送部分和Q开关部分，在主动Q开关状态下可以分开。对于准三能级增益介质的泵浦，开发了半分析模型，从而可以计算给定泵浦功率和泵浦持续时间，空间泵浦光束轮廓，长度和增益介质的掺杂水平对激光水平的平均占用。此外，在模型中考虑了基态损耗，上转换寄生弛豫和温度效应。针对高重复频率的调Q激光器，开发了一种优化准三能级激光器CW体制的新方法。此外，对于与激光高阶寿命相当的长泵浦时间，开发了基于拉格朗日乘数技术的优化程序。对于给定的泵功率密度和上转换参数，得出了实现准平稳反演所需的有效泵持续时间的简单解析公式。该模型可以优化宽类准三能级激光器的增益介质长度和吸收率，平均泵浦面积和输出耦合损耗。

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