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Proceedings Paper

Based on Householder transform of the Zernike polynomial wavefront fitting method to solve active optics correction force
Author(s): Fu-guo Wang; Fei Yang; Xiao-xia Wu; Hong-wei Liu
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Paper Abstract

Corrective force solving is a critical technology of the active optics. A method to solve active optics corrective force is introduced, which is based on Householder transform of Zernike polynomial wave front fitting, this method is different from the traditional least square method and Gram-Schmid orthogonal method, because it does not bring ill-conditioned polynomial without constructing normal equation, so it can avoid calculation error, wave front fitting is precision. Based on the coefficient of the Zernike polynomial and the response function of the each actuator, the stiffness matrix of the primary mirror is built, and then adopting the damp least square method to calculate corrective force. Based on this method, φ400m test mirror is simulated many times, the calculation result approve: if the Householder transform is adopted, wave front fitting is precision, the result is stabilization and corrective effectiveness is better.

Paper Details

Date Published: 8 January 2008
PDF: 5 pages
Proc. SPIE 6835, Infrared Materials, Devices, and Applications, 683522 (8 January 2008); doi: 10.1117/12.760340
Show Author Affiliations
Fu-guo Wang, Changchun Institute of Optics, Fine Mechanics and Physics (China)
Graduate School of the Chinese Academy of Sciences (China)
Fei Yang, Changchun Institute of Optics, Fine Mechanics and Physics (China)
Xiao-xia Wu, Changchun Institute of Optics, Fine Mechanics and Physics (China)
Graduate School of the Chinese Academy of Sciences (China)
Hong-wei Liu, Changchun Institute of Optics, Fine Mechanics and Physics (China)


Published in SPIE Proceedings Vol. 6835:
Infrared Materials, Devices, and Applications
Yi Cai; Haimei Gong; Jean-Pierre Chatard, Editor(s)

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