基于谐振腔内非均匀介质耦合效应的矩阵计算  

Matrix Calculation Based on Coupling Effect of Inhomogeneous Media in Resonant Cavities

作　　者：雷健 王英[1] 陈培锋[1] 

机构地区：[1]华中科技大学光学与电子信息学院,湖北武汉430074

出　　处：《中国激光》2017年第11期1-7,共7页Chinese Journal of Lasers

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。Based on the coupling effect of inhomogeneous media on laser transverse modes in resonant cavities, a matrix algorithm for calculating the stable oscillation modes in resonant cavities is proposed. Energy coupling happens between transverse modes during their propagation process in the resonant cavity under the action of inhomogeneous media, and the incoherent transverse modes are coherent gradually. After a few round-trips, the transverse modes are superimposed with each other linearly by a certain energy proportion and form a stable oscillation mode. A coupling matrix of coupling effect for inhomogeneous media is given and the round-trip laser- field is expressed as a vector form. Optical field variations before and after passing through the media are calculated by the matrix calculation algorithm. A stable plane-concave cavity model is built, which is used to study the propagation of the laser field in the resonant cavity with the matrix calculation algorithm. Several stable oscillation modes are obtained under different conditions, which have a good agreement with the ideal modes. The study proves the existence of the coupling effect of inhomogeneous media and provides a new method for fast calculation of stable oscillation modes in resonant cavities.

关 键 词：激光光学 激光横模 矩阵计算 模式叠加 耦合效应 

分 类 号：TN248.1[电子电信—物理电子学]