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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


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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


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