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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 5 — Mar. 7, 2005
  • pp: 1418–1423

Fast calculation method for cylindrical computer-generated holograms

Yusuke Sando, Masahide Itoh, and Toyohiko Yatagai  »View Author Affiliations


Optics Express, Vol. 13, Issue 5, pp. 1418-1423 (2005)
http://dx.doi.org/10.1364/OPEX.13.001418


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Abstract

We propose a fast calculation method for diffraction to nonplanar surfaces using the fast-Fourier transform (FFT) algorithm. In this method, the diffracted wavefront on a cylindrical surface is expressed as a convolution between the point response function and the spatial distribution of objects wherein the convolution is calculated using FFT. The principle of the fast calculation and the simulation results are presented.

© 2005 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display

ToC Category:
Research Papers

History
Original Manuscript: December 21, 2004
Revised Manuscript: February 18, 2005
Published: March 7, 2005

Citation
Yusuke Sando, Masahide Itoh, and Toyohiko Yatagai, "Fast calculation method for cylindrical computer-generated holograms," Opt. Express 13, 1418-1423 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-5-1418


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References

  1. A. W. Lohmann and D. P. Paris, �??Binary Fraunhofer holograms, generated by computer,�?? Appl. Opt. 6, 1739�?? 1748 (1967). [CrossRef] [PubMed]
  2. D. Leseberg, �??Sizable Fresnel-type hologram generated by computer,�?? J. Opt. Soc. Am. A 6, 229�??233 (1989). [CrossRef]
  3. N. Yoshikawa, M. Itoh, and T. Yatagai, �??Interpolation of reconstructed image in Fourier transform computer-generated hologram,�?? Opt. Commun. 119, 33�??40 (1995). [CrossRef]
  4. D. Leseberg and C. Frere, �??Computer-generated holograms of 3-D objects composed of tilted planar segments,�?? Appl. Opt. 27, 3020�??3024 (1988). [CrossRef] [PubMed]
  5. T. Tommasi and B. Bianco, �??Computer-generated holograms of tilted planes by a spatial frequency approach,�?? J. Opt. Soc. Am. A 10, 299�??305 (1993). [CrossRef]
  6. Y. Takaki and H. Ohzu, �??Hybrid Holographic Microscopy: Visualization of Three-Dimensional Object Information by use of Viewing Angles,�?? Appl. Opt. 39, 5302�??5308 (2000). [CrossRef]
  7. L. Yu, Y. An and L. Cai, �??Numerical reconstruction of digital holograms with variable viewing angles,�?? Opt. Express 10, 1250�??1257 (2002), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1250">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-22-1250</a>. [PubMed]
  8. O. D. D. Soares and J. C. A. Fernandes, �??Cylindrical hologram of 360 field of view,�?? Appl. Opt. 21, 3194�??3196 (1982). [CrossRef] [PubMed]
  9. J. Rosen, �??Computer-generated holograms of images reconstructed on curved surfaces,�?? Appl. Opt. 38, 6136�?? 6140 (1999). [CrossRef]

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