The actuator influence functions of a thin meniscus mirror can be expanded in Zernike polynomials. And the correctness of influence functions has a great effect on solving the correction forces. The Zernike coefficients are applied as parameters in the all-floating support system. We analyze the main interferential factors when different deformation modes are corrected. The influence caused by fitting errors is studied in this paper. A preferable result can be obtained after eliminating the interferential factors. The method can obtain useful correction forces. Comparing the peak-to-valley and root mean square values among the results calculated by different accuracy influence functions, we find that there is a limited convergence property when the accuracy increases. (C) 2013 Optical Society of America
1.Chinese Acad Sci, Inst Opt & Elect, Chengdu 610209, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100101, Peoples R China
Wang, Hongqiao,Fan, Bin,Wu, Yongqian,et al. Influence study of solving correction forces caused by fitting errors for thin meniscus mirror[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION,2013,30(11):2409-2414.