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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. 4 — Apr. 1, 2008
  • pp: 979–982

Relating vector ray-tracing equations for holograms of arbitrary shape and thickness

Arno Klein  »View Author Affiliations


JOSA A, Vol. 25, Issue 4, pp. 979-982 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000979


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Abstract

The author derives Latta’s ray-tracing equations for holograms of arbitrary thickness [ Appl. Opt. 10, 2698 (1971) ] from Welford’s vector ray-tracing equation for holograms of arbitrary shape [ Opt. Commun. 14, 322 (1975) ]. The derivation follows Welford’s original approach but accounts for changes in the shape and thickness of the recording medium between construction and reconstruction.

© 2008 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.7330) Holography : Volume gratings

ToC Category:
Holography

History
Original Manuscript: November 29, 2007
Manuscript Accepted: February 24, 2008
Published: March 26, 2008

Citation
Arno Klein, "Relating vector ray-tracing equations for holograms of arbitrary shape and thickness," J. Opt. Soc. Am. A 25, 979-982 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-4-979


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References

  1. W. T. Welford, “A vector raytracing equation for hologram lenses of arbitrary shape,” Opt. Commun. 14, 322-323 (1975). [CrossRef]
  2. J. L. Latta, “Computer-based analysis of holography using ray tracing,” Appl. Opt. 10, 2698-2710 (1971). [CrossRef] [PubMed]
  3. S. A. Benton and V. M. Bove, Jr., Holographic Imaging (Wiley, 2008), p. 52.
  4. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48, 2909-2947 (1968).
  5. G. Montemezzani and M. Zgonik, “Light diffraction at mixed phase and absorption gratings in anisotropic media for arbitrary geometries,” Phys. Rev. E 35, 1035-1047 (1997). [CrossRef]
  6. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), pp. 333-336.
  7. A. Belendez, I. Pascual, and A. Fimia, “Effective holographic grating model to analyze thick holograms,” Proc. SPIE 1507, 268-276 (1991). [CrossRef]
  8. M. A. Murison and M. C. Noecker, “Ray tracing of and optical path across a holographic optical element,” SAO Technical Memorandum TM93-04 (Smithsonian Astrophysical Observatory, 1993).

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