Acta Optica Sinica, Volume. 30, Issue 6, 1767(2010)

B-Spline Interpolation of Scattered Phase Data of Computer Generated Hologram for Null Test of Freeform Surface

Su Ping*, Tan Qiaofeng, Kang Guoguo, and Jin Guofan
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    Designing methods of null test computer generated hologram (CGH) for freeform surface optical element are researched. Bicubic non-uniform B-spline interpolation is used to fit a continuous phase function from scattered phase compensation data,which is calculated by universal ray tracing numerical method. Matrix representation of bicubic B-spline and monotonicity of CGH phase function are used to calculate the precise intersection lines of planes paralleling to x-y plane and the interpolated B-spline surface,and the positions of fringes of a phase-only CGH are solved with high accuracy. Finally a design example of null test CGH for freeform surface optical element is presented.

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    Su Ping, Tan Qiaofeng, Kang Guoguo, Jin Guofan. B-Spline Interpolation of Scattered Phase Data of Computer Generated Hologram for Null Test of Freeform Surface[J]. Acta Optica Sinica, 2010, 30(6): 1767

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Jul. 10, 2009

    Accepted: --

    Published Online: Jun. 7, 2010

    The Author Email: Ping Su (sup@mails.tsinghua.edu.cn)

    DOI:10.3788/aos20103006.1767

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