光学精密工程2012，Vol.20Issue(4)：706-711,6.DOI:10.3788/OPE.20122004.0706
基于星点图像的小像差复原
Small-aberration retrieval based on spot images
摘要
Abstract
A small-aberration retrieval method based on spot images was introduced and an analytic formula to computer the point spread function for a small aberration optical system was derived according to the scalar diffraction theory and Bessel series. With this formula, the objective function and its gradient were given for the small -aberration retrieval method. Then, the optimized method was used to solve this problem. The effectiveness of this method was demonstrated by using the numerical simulation under ideal and noisy conditions,respectively, and the influence of the size of spot object on the retrieval results was also analyzed. This method uses aberration's Zernike coefficients as optimization variants and computes the objective function and its gradient with analytic expressions to avoid Fourier transform or numerical integral needed in common aberration retrieval methods. Therefore, it improves the speed of aberration retrieval greatly.关键词
小像差复原/Zernike多项式/点扩散函数/星点图像Key words
small-aberration retrieval/Zernike polynomial/point spread function/spot image分类
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陈新华,季轶群,沈为民..基于星点图像的小像差复原[J].光学精密工程,2012,20(4):706-711,6.基金项目
国家973重点基础研究发展计划资助项目(No.613113) （No.613113）
国家自然科学基金资助项目(No.61078043) （No.61078043）
江苏高校优势学科建设工程资助项目(PAPD) （PAPD）
