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

    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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