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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 10, Iss. 12 — Dec. 1, 1971
  • pp: 2698–2710

Computer-Based Analysis of Holography Using Ray Tracing

John N. Latta  »View Author Affiliations


Applied Optics, Vol. 10, Issue 12, pp. 2698-2710 (1971)
http://dx.doi.org/10.1364/AO.10.002698


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Abstract

The application of a ray-tracing methodology to holography is presented. Emphasis is placed on establishing a very general foundation from which to build a general computer-based implementation. As few restrictions as possible are placed on the recording and reconstruction geometry. The necessary equations are established from the construction and reconstruction parameters of the hologram. The aberrations are defined following H. H. Hopkins, and these aberration specification techniques are compared with those used previously to analyze holography. Representative of the flexibility of the ray-tracing approach, two examples are considered. The first compares the answers between a wavefront matching and the ray-tracing analysis in the case of aberration balancing to compensate for chromatic aberrations. The results are very close and establish the basic utility of aberration balancing. Further indicative of the power of a ray tracing, a thick media analysis is included in the computer programs. This section is then used to perform a study of the effects of hologram emulsion shrinkage and methods for compensation. The results of compensating such holograms are to introduce aberrations, and these are considered in both reflection and transmission holograms.

© 1971 Optical Society of America

History
Original Manuscript: June 28, 1971
Published: December 1, 1971

Citation
John N. Latta, "Computer-Based Analysis of Holography Using Ray Tracing," Appl. Opt. 10, 2698-2710 (1971)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-10-12-2698


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References

  1. C. W. Helstrom, J. Opt. Soc. Am. 56, 433 (1966). [CrossRef]
  2. A. Offner, J. Opt. Soc. Am. 56, 1509 (1966). [CrossRef]
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  5. I. A. Abramowitz, “Design of Holographic Systems by Ray Tracing,” Ph.D. Thesis, Cornell University, Ithaca, New York, 1968 (U. Microfilms, 68–4656).
  6. Hereafter, Refs. 7 and 8 to Parts I and II of the article “Computer-Based Analysis of Hologram Imagery and Aberrations” will simply be I and II.
  7. J. N. Latta, Appl. Opt. 10, 599 (1971). [CrossRef] [PubMed]
  8. J. N. Latta, Appl. Opt. 10, 609 (1971). [CrossRef] [PubMed]
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  14. B. Carnahan, J. O. Wilkes, Numerical Methods, Optimization Techniques and Simulation for Engineers (The University of Michigan Engineering Summer Conference Notes, Ann Arbor, Michigan, August1970).
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