Generalized wave-front reconstruction algorithm applied in a Shack-Hartmann test

Creators: Zou, Weiyao; Zhang, Zhenchao

Abstract

A generalized numerical wave-front reconstruction method is proposed that is suitable for diversified irregular pupil shapes of optical systems to be measured. That is, to make a generalized and regular normal equation set, the test domain is extended to a regular square shape. The compatibility of this method is discussed in detail, and efficient algorithms (such as the Cholesky method) for solving this normal equation set are given. In addition, the authors give strict analyses of not only the error propagation in the wave-front estimate but also of the discretization errors of this domain extension algorithm. Finally, some application examples are given to demonstrate this algorithm.

Additional Information

© 2000 Optical Society of America. Received 3 March 1999; revised manuscript received 14 July 1999. The authors acknowledge stimulating discussions with Dingqiang Su and Xiangqun Cui of the Nanjing Astronomical Instruments Research Center (NAIRC). This study was supported financially by the Nanjing Branch of the Chinese Academy of Science (NBCAS), and the authors thank Juying Jiang of NBCAS for her enthusiastic help. The authors gratefully acknowledge valuable discussions with Mingchun Zhang and Xi Shen of Southeast University. The authors thank the reviewers of Applied Optics who reviewed this paper. The authors thank James R. Leger at the Electrical and Computer Engineering Department, University of Minnesota, for his useful suggestions and enthusiastic help. The authors also thank Applied Optics copy editor Scott Dineen for his efforts to improve the quality of this paper.

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