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M~2因子的计算和测量与所采用的坐标系有关,所以对光斑为非圆对称的光束进行M~2因子测量时,若选取的实验室坐标系不同或者是在非完全相同的实验条件下进行的测量,测量所得的M~2因子并不唯一,这给实际应用中光束质量的评价带来了不便。为更方便地进行光束质量的评价,使得不同的实验室坐标系下测量所得M~2因子统一,引入了两个交叉项来表征待测光束光斑主轴与实验室坐标系的位置关系,定义了M~2因子矩阵。同时研究了M~2因子矩阵的测量原理和方法,搭建了M~2因子矩阵测试系统,实验研究了非圆对称光束的束宽以及M~2因子随坐标系旋转的变化规律,测出了M~2因子矩阵。
The calculation and measurement of M ~ 2 factors are related to the adopted coordinate system. Therefore, when M ~ 2 factor measurement is performed on the beam with non-circular symmetry, if the selected laboratory coordinate system is different or under different experimental conditions Under the measurement, the measured M ~ 2 factor is not unique, which brings inconvenience to the practical application of the beam quality evaluation. In order to evaluate the beam quality more conveniently, the M ~ 2 factors in different laboratory coordinate systems are unified and two cross terms are introduced to characterize the positional relationship between the major axis of the beam spot under test and the laboratory coordinate system. M ~ 2 factor matrix. At the same time, the measurement principle and method of M ~ 2 factor matrix are researched. The M ~ 2 factor matrix test system is set up. The beam width of non-circular symmetry beam and the variation of M ~ 2 factor with the rotation of coordinate system are studied. M ~ 2 factor matrix.