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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 38, Iss. 23 — Dec. 1, 2013
  • pp: 5172–5175

Fast calculation method for computer-generated cylindrical holograms based on the three-dimensional Fourier spectrum

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


Optics Letters, Vol. 38, Issue 23, pp. 5172-5175 (2013)
http://dx.doi.org/10.1364/OL.38.005172


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Abstract

The relation between a three-dimensional (3D) object and its diffracted wavefront in the 3D Fourier space is discussed at first and then a rigorous diffraction formula onto cylindrical surfaces is derived. The azimuthal direction and the spatial frequency direction corresponding to height can be expressed with a one-dimensional (1D) convolution integral and a 1D inverse Fourier transform in the 3D Fourier space, respectively, and fast Fourier transforms are available for fast calculation. A numerical simulation of a diffracted wavefront on cylindrical surfaces is presented. An alternative optical experiment equivalent of the optical reconstruction from cylindrical holograms is also demonstrated.

© 2013 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
(090.5694) Holography : Real-time holography

ToC Category:
Holography

History
Original Manuscript: September 23, 2013
Revised Manuscript: October 22, 2013
Manuscript Accepted: October 30, 2013
Published: November 27, 2013

Citation
Yusuke Sando, Daisuke Barada, Boaz Jessie Jackin, and Toyohiko Yatagai, "Fast calculation method for computer-generated cylindrical holograms based on the three-dimensional Fourier spectrum," Opt. Lett. 38, 5172-5175 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-23-5172


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