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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 1956–1964

Controlling the aliasing by zero-padding in the digital calculation of the scalar diffraction

Jung-Ping Liu  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 1956-1964 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001956


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Abstract

The well-sampling conditions for the digital calculations of the scalar diffraction, including the Huygens convolution method (HCM), the angular spectrum method (ASM), and the Fresnel diffraction integral (FDI), were discussed. We found the aliasing always occurs unless proper zero-padding—that is, to pad zero-value pixels around the initial field—is applied prior to the simulation of the diffraction. From the aspect of well-sampling, the ASM is applicable to a short propagation distance, while the HCM is applicable to a long propagation distance. However, we found that the free-space point spread function in the HCM is low-pass filtered when the propagation distance is long. As a result, it is recommended to always use the ASM in conjunction with sufficient zero-padding for the digital calculation of the diffraction field. The FDI can be directly applied to a long-distance propagation without the necessity of the zero-padding, provided only the intensity is of interest. If the phase of the diffraction field is important, the zero-padding is necessary and the propagation distance is severely restricted.

© 2012 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(090.1995) Holography : Digital holography
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Holography

History
Original Manuscript: May 22, 2012
Revised Manuscript: July 20, 2012
Manuscript Accepted: August 1, 2012
Published: August 27, 2012

Citation
Jung-Ping Liu, "Controlling the aliasing by zero-padding in the digital calculation of the scalar diffraction," J. Opt. Soc. Am. A 29, 1956-1964 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1956

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