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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. 26, Iss. 11 — Nov. 1, 2009
  • pp: 2393–2397

Fast numerical simulation of diffraction from large volume holograms

F. Kalkum  »View Author Affiliations


JOSA A, Vol. 26, Issue 11, pp. 2393-2397 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002393


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Abstract

An efficient way to numerically calculate diffraction from large volume holograms is developed using the first-order Born approximation. For this, everything except the propagating part of the Green’s function is neglected, and the fact that the gratings have a slowly varying envelope is used. The results of the new method are compared with analytical solutions of plane-wave diffraction with absorption, with phase-conjugated readout of a hologram recorded with a point source, and with numerical simulations of shift multiplexing with high-numerical-aperture microscope objectives. We show that the new method gives correct results in all cases and is several orders of magnitudes faster than FFT-based integration.

© 2009 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.0050) Diffraction and gratings : Diffraction and gratings
(090.0090) Holography : Holography
(210.0210) Optical data storage : Optical data storage

ToC Category:
Optical Data Storage

History
Original Manuscript: June 26, 2009
Revised Manuscript: September 11, 2009
Manuscript Accepted: September 14, 2009
Published: October 16, 2009

Citation
F. Kalkum, "Fast numerical simulation of diffraction from large volume holograms," J. Opt. Soc. Am. A 26, 2393-2397 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-11-2393


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References

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