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运用四阶Runge Kutta法直接求解非线性介质内椭圆高斯光束传播方程组的方法分析增益介质内的克尔透镜(Kerr lens)效应 ,结合在增益介质外运用的线性ABCD矩阵寻找自洽解 ,对半导体可饱和吸收镜 (SESAM)启动的高功率KLM钛宝石激光器谐振腔的像散、稳定性、光束参数、自聚焦效应和克尔自聚焦强度与腔参数的关系进行了系统的理论计算 .计算结果与实验结果相符合 .该计算为SESAM启动的五镜腔KLM激光器的设计和调整提供了理论依据 .
The fourth order Runge Kutta method is used to directly solve the elliptic Gaussian beam propagation equations in nonlinear media. The Kerr lens effect in the gain medium is analyzed. The linear ABCD matrix used in the gain medium is used to find the self-consistent solutions. The theoretical calculation of the astigmatism, stability, beam parameters, self-focusing effect and the relationship between Kerr self-focusing intensity and cavity parameters of a high-power KLM sapphire laser initiated by a semiconductor saturable absorption mirror (SESAM) The results are consistent with the experimental results, which provides a theoretical basis for the design and adjustment of the five-cavity KLM laser activated by SESAM.