夏克-哈特曼传感器任意形状孔径波前的模式重构及Zernike多项式描述

根据高等代数内积和欧氏空间的概念及线性无关向量正交化方法 ,提出了在任意形状区域上 ,利用Zernike多项式在给定区域的正交化方法 ,通过线性变换生成一组新的正交多项式 ,实现在任意区域哈特曼 夏克波前传感器的相位模式重构的方法 ,并通过线性反变换 ,实现任意区域的波前相位的Zernike多项式表示。

Model Wavefront Reconstruction of Shack-Hartmann Sensor on Arbitrary Area and Wavefront Expression by Zernike Polynomials

In this paper, based on the conception of cross product and space in the superior algebra theory, using the Zernike polynomial and the orthogonalization method, a method of Shack Hartmann Sensor's model wavefront reconstruction on arbitrary area is proposed through linear transform. Through linear reverse transform, the wavefront can be expressed by Zernike polynomial easily.