• Acta Optica Sinica
  • Vol. 30, Issue 6, 1767 (2010)
Su Ping*, Tan Qiaofeng, Kang Guoguo, and Jin Guofan
Author Affiliations
  • [in Chinese]
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    DOI: 10.3788/aos20103006.1767 Cite this Article Set citation alerts
    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 Copy Citation Text show less

    Abstract

    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.
    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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