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: 5130–5133

Nonuniform sampled scalar diffraction calculation using nonuniform fast Fourier transform

Tomoyoshi Shimobaba, Takashi Kakue, Minoru Oikawa, Naohisa Okada, Yutaka Endo, Ryuji Hirayama, and Tomoyoshi Ito  »View Author Affiliations


Optics Letters, Vol. 38, Issue 23, pp. 5130-5133 (2013)
http://dx.doi.org/10.1364/OL.38.005130


View Full Text Article

Enhanced HTML    Acrobat PDF (1335 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Scalar diffraction calculations, such as the angular spectrum method (ASM) and Fresnel diffraction, are widely used in the research fields of optics, x rays, electron beams, and ultrasonics. It is possible to accelerate the calculation using fast Fourier transform (FFT); unfortunately, acceleration of the calculation of nonuniform sampled planes is limited due to the property of the FFT that imposes uniform sampling. In addition, it gives rise to wasteful sampling data if we calculate a plane having locally low and high spatial frequencies. In this Letter, we developed nonuniform sampled ASM and Fresnel diffraction to improve the problem using the nonuniform FFT.

© 2013 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(090.1760) Holography : Computer holography
(090.1970) Holography : Diffractive optics
(090.2870) Holography : Holographic display
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: September 2, 2013
Revised Manuscript: October 10, 2013
Manuscript Accepted: October 31, 2013
Published: November 26, 2013

Citation
Tomoyoshi Shimobaba, Takashi Kakue, Minoru Oikawa, Naohisa Okada, Yutaka Endo, Ryuji Hirayama, and Tomoyoshi Ito, "Nonuniform sampled scalar diffraction calculation using nonuniform fast Fourier transform," Opt. Lett. 38, 5130-5133 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-23-5130

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