Title

Iterative zonal wave-front estimation algorithm for optical testing with general-shaped pupils

Authors

Authors

W. Y. Zou;J. P. Rolland

Comments

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Abbreviated Journal Title

J. Opt. Soc. Am. A-Opt. Image Sci. Vis.

Keywords

DIFFERENCE MEASUREMENTS; FOURIER-TRANSFORM; RECONSTRUCTION; PHASE; Optics

Abstract

An iterative zonal wave-front estimation algorithm for slope or gradient-type data in optical testing acquired with regular or irregular pupil shapes is presented. In the mathematical model proposed, the optical surface, or wave-front shape estimation, which may have any pupil shape or size, shares a predefined wave-front estimation matrix that we establish. Owing to the finite pupil of the instrument, the challenge of wave front shape estimation in optical testing lies in large part in how to properly handle boundary conditions. The solution we propose is an efficient iterative process based on Gerchberg-type iterations. The proposed method is validated with data collected from a 15 x 15-grid Shack-Hartmann sensor built at the Nanjing Astronomical Instruments Research Center in China. Results show that the rms deviation error of the estimated wave front from the original wave front is less than lambda/130-lambda/150 after similar to 12 iterations and less than lambda/100 (both for X = 632.8 nm) after as few as four iterations. Also, a theoretical analysis of algorithm complexity and error propagation is presented. (c) 2005 Optical Society of America.

Journal Title

Journal of the Optical Society of America a-Optics Image Science and Vision

Volume

22

Issue/Number

5

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

938

Last Page

951

WOS Identifier

WOS:000228742800016

ISSN

1084-7529

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