OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • 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


View Full Text Article

Enhanced HTML    Acrobat PDF (1538 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited