文章摘要
徐晨露1,2,郝士琦1,王勇1,赵青松1,刘玉洁3.基于模式互信息的大气湍流畸变波前重构[J].空军工程大学学报:自然科学版,2020,21(2):65-70
基于模式互信息的大气湍流畸变波前重构
Atmospheric Turbulence Distortion Wave Front Reconstruction Based on Modal Mutual Information
  
DOI:
中文关键词: 自适应光学  波前重构  互信息  模式法  Zernike多项式  畸变波
英文关键词: adaptive optics  wave front reconstruction  mutual information  modal method  Zernike polynomial  distortion wave
基金项目:国家自然科学基金(61571446)
作者单位
徐晨露1,2,郝士琦1,王勇1,赵青松1,刘玉洁3 1.国防科技大学脉冲功率激光技术国家重点实验室合肥,2300372.32032部队北京1001933.94654部队南京210046 
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中文摘要:
      基于模式法进行波前重构时需将波前相位畸变展开成不同的正交多项式组合,不同的正交基分别代表由大气湍流引起的波前相位畸变的不同模式,通过计算大气湍流引起的波前畸变与各个模式的互信息,分析不同模式对波前畸变的影响程度,按互信息从大到小建立新的重构矩阵进行波前重构。数值模拟结果表明:当仅采用一种模式进行校正时,基于互信息重构的波前残差均方根值从1.8 rad下降到1.15 rad,而传统模式重构法的波前残差均方根值仅下降到1.74 rad,采用2种模式重构波前时,2种方法的波前残差均方根值分别下降了1.2 rad和0.1 rad。当采用65个模式对波前重构时,传统模式法的波前残差为0.2 rad,而当基于互信息重构的波前残差为0.2 rad时,仅需要采用18个模式。与传统模式法相比,在相同的波前重构精度下,基于互信息的波前重构所需的重构模式数大大减少,从而降低了重构矩阵的复杂度,提升的波前重构的速度。
英文摘要:
      The wave front phase distortion should be expanded into different orthogonal polynomial combinations for wave front reconstruction based on modal method. Different orthogonal bases represent different modes of wave front phase distortion caused by atmospheric turbulence. By calculating the mutual information between the wave front distortion caused by atmospheric turbulence and each mode, the influence degree of different modes on wave front distortion is analyzed,and the wave front reconstruction is made in accordance with the established new reconstruction matrix of the mutual information from large to small. The numerical simulation results show that when only one mode is adopted to correct the wave front, the RMS of the wave front residual based on mutual information reconstruction decreases from 1.8 rad to 1.15 rad, and the RMS of the traditional mode reconstruction method only decreases to 1.74 rad. When the two modes are adopted to reconstruct the wave front, the RMS of the residual wave front of the two methods decreases by 1.2 rad and 0.1 rad respectively. When 65 modes are adopted to reconstruct the wave front, the traditional mode method has a wave front residual of 0.2 rad, and when the wave front residual based on mutual information reconstruction is 0.2 rad, and only 18 modes are needed. Compared with the traditional modal method under conditions of the same precision of wave front reconstruction, the number of reconstruction modes required for wave front reconstruction based on mutual information is greatly reduced, reducing the complexity of the reconstruction matrix and improving the speed of wave front reconstruction.
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