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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 29, Iss. 32 — Nov. 10, 1990
  • pp: 4761–4765

Reconstruction in inclined planes of curved computer generated holograms

Christian Frère  »View Author Affiliations


Applied Optics, Vol. 29, Issue 32, pp. 4761-4765 (1990)
http://dx.doi.org/10.1364/AO.29.004761


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Abstract

The determination of the complex amplitude in the hologram is one major step in the realization of computer generated holograms. Usually the input distribution is assumed to be in a plane parallel to the hologram plane. However, sometimes a more flexible geometry is of interest. Here, in particular an arbitrarily shaped computer generated hologram of a plane input distribution is considered. The calculation of the complex amplitude in the hologram mainly consists of a Fourier transformation and a nonlinear coordinate transformation. The feasibility of this procedure is demonstrated by optical reconstructions of cylindrically shaped computer generated holograms in arbitrarily oriented planes.

© 1990 Optical Society of America

History
Original Manuscript: June 13, 1989
Published: November 10, 1990

Citation
Christian Frère, "Reconstruction in inclined planes of curved computer generated holograms," Appl. Opt. 29, 4761-4765 (1990)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-29-32-4761


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References

  1. E. O. Brigham, The Fast Fourier Transform, (Prentice Hall, Englewood Cliffs, 1974).
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw Hill, San Francisco, 1968).
  3. D. Leseberg, C. Frere, “Computer-Generated Holograms of 3-D Objects Composed of Tilted Planar Segments,” Appl. Opt. 27, 3020–3024 (1988). [CrossRef] [PubMed]
  4. C. Frère, D. Leseberg, “Large Objects Reconstructed from Computer-Generated Holograms,” Appl. Opt. 28, 2422–2425 (1989). [CrossRef] [PubMed]
  5. K. Patorski, “Fraunhofer Diffraction Patterns of Tilted Planar Objects,” Opt. Acta 30, 673–679 (1982). [CrossRef]
  6. J. J. Burch, “A Computer Algorithm for the Synthesis of Spatial Frequency Filter,” Proc. IEEE 55, 599–601 (1967). [CrossRef]
  7. O. Bryngdahl, F. Wyrowski, ”Digital Holography/Computer-Generated Holograms,” Prog. Opt.28, E. Wolf ed. North Holland, Amsterdam, to appear (1990). [CrossRef]

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