复杂像散腔的2维失调灵敏度的矩阵表示

为了分析激光谐振腔的一般复杂像散特性,采用了8×8失调增广矩阵和MATLAB的符号运算的方法,推导出了复杂像散腔失调灵敏度的一般解析表达式。该表达式可涵盖具有多个光学元件的多种像散腔,并可定量分析这些像散腔在x-O-z和y-O-z两个平面上的失调灵敏度。计算结果表明,复杂像散腔的模场和失调灵敏度在x-O-z和y-O-z两个平面上均存在耦合。这一结果对复杂像散腔的设计与分析提供了很好的依据。

Matrix expression for 2D Misalignment sensitivity of complex astigmatic resonator

Focusing on the general astigmatism of laser resonator cavity, in virtue of symbol operation functions of Matlab, the general analytical formula of misalignment sensitivity for complex astigmatic resonator cavity with several optical components has been derived by utilizing augmented 8×8 misaligned matrix. This formula is applicable to the axial symmetric cavity, the simple astigmatic cavity and the complex astigmatic cavity; and these cavities can have several optical components with general astigmatic characteristics. This formula also takes the situation that coupling may exist between xoz plane and yoz plane in the cavities, into consideration; and it can be used to analyze quantitatively the misalignment sensitivity of resonator cavities in xoz plane and yoz plane. Calculation results indicate that mode distributions in the complex astigmatic cavity have coupling in xoz plane and yoz plane, and the misalignment sensitivities of the complex astigmatic cavity also have coupling in xoz plane and yoz plane, i.e. cavity parameters of xoz plane can have influence on the misalignment sensitivity of yoz plane and vice versa.