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。 Based on the coupling effect of the inhomogeneous medium in the resonator on the laser transverse mode, a matrix algorithm for calculating the stable oscillation modes in the resonator is proposed. When the laser transverse mode propagates back and forth in the resonator, its energy is coupled under the action of inhomogeneous medium, and the original irrelevant mode gradually becomes coherent. After repeated round-trip propagation, each transverse mode will be linearly superimposed by a certain energy proportion to form a stable oscillation mode. The coupling matrix of the inhomogeneous medium coupling effect is given, and the laser field traveling back and forth is expressed in a vector form. The light field changes before and after the medium are calculated by matrix calculation. A stable flat cavity model is established. The matrix of the laser field propagation in the cavity is calculated, and multiple stable oscillation modes are calculated under different conditions. The calculated results are in good agreement with the ideal one. The research proves to some extent the existence of inhomogeneous medium coupling effect and provides a new method for fast calculation of intra-cavity stable oscillation modes.