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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 19 — Sep. 10, 2012
  • pp: 20962–20969

Fast calculation of computer-generated holograms based on 3-D Fourier spectrum for omnidirectional diffraction from a 3-D voxel-based object

Yusuke Sando, Daisuke Barada, and Toyohiko Yatagai  »View Author Affiliations


Optics Express, Vol. 20, Issue 19, pp. 20962-20969 (2012)
http://dx.doi.org/10.1364/OE.20.020962


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Abstract

We have derived the basic spectral relation between a 3-D object and its 2-D diffracted wavefront by interpreting the diffraction calculation in the 3-D Fourier domain. Information on the 3-D object, which is inherent in the diffracted wavefront, becomes clear by using this relation. After the derivation, a method for obtaining the Fourier spectrum that is required to synthesize a hologram with a realistic sampling number for visible light is described. Finally, to verify the validity and the practicality of the above-mentioned spectral relation, fast calculation of a series of wavefronts radially diffracted from a 3-D voxel-based object is demonstrated.

© 2012 OSA

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

ToC Category:
Holography

History
Original Manuscript: June 11, 2012
Revised Manuscript: August 9, 2012
Manuscript Accepted: August 9, 2012
Published: August 29, 2012

Citation
Yusuke Sando, Daisuke Barada, and Toyohiko Yatagai, "Fast calculation of computer-generated holograms based on 3-D Fourier spectrum for omnidirectional diffraction from a 3-D voxel-based object," Opt. Express 20, 20962-20969 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-19-20962


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