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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: Stephen A. Burns
  • Vol. 25, Iss. 7 — Jul. 1, 2008
  • pp: 1744–1761

General theoretical formulation of image formation in digital Fresnel holography

Pascal Picart and Julien Leval  »View Author Affiliations


JOSA A, Vol. 25, Issue 7, pp. 1744-1761 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001744


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Abstract

We present a detailed analysis of image formation in digital Fresnel holography. The mathematical modeling is developed on the basis of Fourier optics, making possible the understanding of the different influences of each of the physical effects invoked in digital holography. Particularly, it is demonstrated that spatial resolution in the reconstructed plane can be written as a convolution product of functions that describe these influences. The analysis leads to a thorough investigation of the effect of the width of the sensor, the surface of pixels, the numerical focusing, and the aberrations of the reference wave, as well as to an explicit formulation of the Shannon theorem for digital holography. Experimental illustrations confirm the proposed theoretical analysis.

© 2008 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.2870) Holography : Holographic display
(090.2880) Holography : Holographic interferometry
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(090.1995) Holography : Digital holography
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Holography

History
Original Manuscript: December 19, 2007
Revised Manuscript: April 8, 2008
Manuscript Accepted: May 4, 2008
Published: June 25, 2008

Citation
Pascal Picart and Julien Leval, "General theoretical formulation of image formation in digital Fresnel holography," J. Opt. Soc. Am. A 25, 1744-1761 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-7-1744

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