径向剪切干涉测量中基于Zernike多项式的波前重建  

Zernike Polynomials Based Wavefront Reconstruction Method for Radial Shearing Interferometry

作　　者：吕捷[1] 王维民[1] 

机构地区：[1]南京财经大学信息工程学院,江苏南京210003

出　　处：《南京师大学报（自然科学版）》2006年第3期40-44,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：南京财经大学科研基金资助项目(B0554)

摘　　要：径向剪切干涉波面不能直接反映被测光学波面,因此提出一种径向剪切干涉测量中被测波前重建的新方法.该方法基于Zern ike多项式最小二乘法拟合的基本原理来确定波前重建表达式.推导出径向剪切相位Zern ike多项式系数与被测波前Zern ike多项式系数转换关系.对算法进行计算机模拟,并应用于实际径向剪切干涉测量,结果证明该方法具有可靠的波前重建精度.To solve the problem involved in the radial shearing interferometry that the wavefronts are not directly reflected in the interferograms, an algorithmn and reconstruction procedure are proposed for such purpose. The algorithm is based on the least squares principle and the Zernike polynomials. A direct transformation between the coefficients for the tests wavefront and the ones for the radial shearing phase is proposed. Computational and experimental tests show that the proposed algorithm and the models are effective and accurate.

关 键 词：径向剪切干涉 ZERNIKE多项式 波前重建 

分 类 号：O436[机械工程—光学工程]