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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 1 — Jan. 14, 2013
  • pp: 935–948

Fast calculation of spherical computer generated hologram using spherical wave spectrum method

Boaz Jessie Jackin and Toyohiko Yatagai  »View Author Affiliations

Optics Express, Vol. 21, Issue 1, pp. 935-948 (2013)

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A fast calculation method for computer generation of spherical holograms in proposed. This method is based on wave propagation defined in spectral domain and in spherical coordinates. The spherical wave spectrum and transfer function were derived from boundary value solutions to the scalar wave equation. It is a spectral propagation formula analogous to angular spectrum formula in cartesian coordinates. A numerical method to evaluate the derived formula is suggested, which uses only N(logN)2 operations for calculations on N sampling points. Simulation results are presented to verify the correctness of the proposed method. A spherical hologram for a spherical object was generated and reconstructed successfully using the proposed method.

© 2013 OSA

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display

ToC Category:

Original Manuscript: October 16, 2012
Revised Manuscript: November 19, 2012
Manuscript Accepted: November 22, 2012
Published: January 9, 2013

Boaz Jessie Jackin and Toyohiko Yatagai, "Fast calculation of spherical computer generated hologram using spherical wave spectrum method," Opt. Express 21, 935-948 (2013)

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