一种基于Zernike多项式的波前探测和重构方法

An Optical Wavefront Seuing and Reconstruction Method Based on Zernike Polynomials

运用Ｎｏｌｌ建议的Ｚｅｒｎｉｋｅ多项式形式表征经大气扰动的波面，求出由两个离焦面上的光强分布决定的Ｚｅｒｎｉｋｅ多项式的前ｎ项在特定的探测器上的响应矩阵Ｒ．由Ｒ和输入的随机波面在两个离焦面上的光强分布，可方便地求出其Ｚｅｒｎｉｋｅ多项式的系数，从而实现了波前的探测和重构．采用光线追迹的方法，用计算机模拟验证了这种方法的原理和可行性．

Atmospheric tublenced optical wave front could be represented with ZernikePOlynomials suggested by Noll. The detector response matrix R for the first n terms ofZernike POlynomials hat been obtained from irradiance distribution in two de focal planes.For a random waveftont, with matrix R and the irradiance diStribution detected, it is easyto solve the correspollding coefficientS of each Zernike POlynomials and reconstruct theinput wayefront. By means of ray tracing, the principle and feasibility of this novelmethod have been verified by computer simulation.