Evaluating middle-high frequency phase distortion of optics by fractal method
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摘要: 针对神光Ⅲ主机装置使用的光学元件，基于分形理论，分析中高频相位畸变的统计分布特征，指出其满足分数布朗随机场，并利用结构函数法对分形维数进行计算，统计结果显示，大口径钕玻璃片的分形维数在2.34~2.43之间。利用局部稳态的随机中点位移法，提出一种新的表征光学元件相位的方法，将分形维数作为参数，可衡量中高频相位畸变，对高功率激光光学元件的评价有参考意义。Abstract: Based on the fractal theory, this paper analyzed statistical distribution features of middle-high frequency phase distortion of the optics for Shenguang-Ⅲ laser facility. The middle-high frequency phase distribution is found to be consistent with the model of fractional Brownian random field. The fractal dimension was calculated by structure function. The fractal dimension of large-aperture neodymium-doped phosphate amplifier glass is distributed between 2.34 and 2.43. A method of phase simulation by random midpoint-displacement was presented. In this method, the fractal dimension can be viewed as a parameter for estimating phase distortion, which helps to evaluate the high laser optics.
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