基于谐振腔内非均匀介质耦合效应的矩阵计算

发布时间：2018-05-18 15:43

本文选题：激光光学 + 激光横模　；参考：《中国激光》2017年11期

【摘要】：基于谐振腔内的非均匀介质对激光横模的耦合作用,提出了一种用于计算谐振腔内稳定振荡模式的矩阵算法。激光横模在谐振腔内往返传播时,其能量在非均匀介质的作用下发生耦合,原本不相干的模式逐渐变得相干。经多次往返传播后,各横模将按一定的能量比例线性叠加,形成稳定振荡的模式。给出了非均匀介质耦合效应的耦合矩阵,并将往返传播的激光场表示成向量形式,用矩阵计算的方法对介质前后的光场变化进行计算。建立了一个稳定平凹腔模型,对谐振腔内激光场的传播进行了矩阵计算,在不同条件下计算得到了多个稳定振荡模式,计算结果与理想模式符合得很好。该研究在一定程度上证明了非均匀介质耦合效应的存在,并提供了一种新的快速计算谐振腔内稳定振荡模式的方法。
[Abstract]:Based on the coupling effect of the nonuniform medium in the resonator to the laser transverse mode, a matrix algorithm is proposed to calculate the stable oscillation mode in the resonator. When the laser transverse mode propagates back and forth in the resonator, its energy is coupled under the action of the inhomogeneous medium, and the original incoherent mode becomes coherent gradually. After multiple round trips, the transverse modes will be stacked linearly according to a certain ratio of energy to form a stable oscillation mode. The coupling matrix of coupling effect in non-uniform medium is given, and the laser field propagating back and forth is expressed as vector form, and the change of light field before and after the medium is calculated by matrix calculation method. A stable plane-concave cavity model is established and the propagation of laser field in resonator is calculated by matrix method. Several stable oscillation modes are obtained under different conditions. The calculated results are in good agreement with the ideal mode. In this paper, the existence of coupling effect in non-uniform medium is proved to a certain extent, and a new method for fast calculation of stable oscillation mode in resonator is provided.
【作者单位】：华中科技大学光学与电子信息学院;
【分类号】：TN24

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