复杂像散腔的2维失调灵敏度的矩阵表示
Matrix expression for 2-D misalignment sensitivity of complex astigmatic resonator
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摘要: 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。Abstract: In order to analyze the general astigmatism of laser resonator cavities,the general analytical formula of misalignment sensitivity for complex astigmatic resonator cavities with several optical components has been derived by adopting augmented 8×8 misaligned matrix and symbol operation functions of MATLAB.This formula is applicable to the complex astigmatic cavity including several optical components with general astigmatic characteristics,and it can be used to analyze quantitatively the misalignment sensitivity of these resonator cavities in x-O-z plane and y-O-z plane.Calculation results indicate that mode distributions in the complex astigmatic cavity and the misalignment sensitivities of the complex astigmatic cavity have coupling in x-O-z plane and y-O-z plane.These results afford some references for the design and analysis of complex astigmatic cavities.
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