光学学报, 2011, 31 (8): 0801001, 网络出版: 2011-07-29
基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法
2D Lateral Shearing Wave-Front Reconstruction Based on Decoupling Difference Zernike Future Defining Coefficient Method
自适应光学 横向剪切干涉技术 二维 波前重构 差分泽尼克待定系数法 解耦 adoptive optics lateral shearing interferometry two dimension wavefront reconstruction difference Zernike underdetermined coefficient met decoupling
摘要
横向剪切干涉术是一种自参考干涉计量技术,其原理是被检测波前与其自身被剪开的波前之间在重叠范围内相干涉,由干涉图得到两相互剪切波前的波前差,通过波面重建算法得到待测波面。在波面重建算法中,泽尼克待定系数法是其中的一种。分析了横向剪切干涉技术的测量原理;提出了一种新的基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法。理论分析和数值仿真表明,该算法简单直观,复原精度高,而且可用直角坐标系下的差分泽尼克多项式直接拟合环形波面。
Abstract
Lateral shearing interferometry is a reference-free technique. The wavefront under test interferes with a laterally sheared copy of itself in the superposed range. The wave-front difference of the two sheared wavefronts is obtained from interferogram, the wavefront could be reconstructed using some wavefront reconstruction algorithm. The Zernike underdetermined coefficient method based on difference Zernike polynomial is one of the wavefront reconstruction algorithms. The measuring principle of lateral shearing interferometry is introduced; 2D shearing wavefront reconstruction based on decoupling difference Zernike under determined coefficient method is proposed. It is indicated by theoretical analysis and numerical simulation that the proposed method is simple, accurate and could be used to recover annular wavefront with Zernike polynomials in rectangular coordinates.
彭爱华, 叶红卫, 李新阳. 基于解耦差分泽尼克待定系数法的二维横向剪切波面重建算法[J]. 光学学报, 2011, 31(8): 0801001. Peng Aihua, Ye Hongwei, Li Xinyang. 2D Lateral Shearing Wave-Front Reconstruction Based on Decoupling Difference Zernike Future Defining Coefficient Method[J]. Acta Optica Sinica, 2011, 31(8): 0801001.