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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 17 — Jun. 10, 1998
  • pp: 3685–3688

Optimization of kinoform lenses with the Monte Carlo method

Nandor Bokor and Zsolt Papp  »View Author Affiliations


Applied Optics, Vol. 37, Issue 17, pp. 3685-3688 (1998)
http://dx.doi.org/10.1364/AO.37.003685


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Abstract

For the optimization of non-Fourier-type computer-generated phase holograms (kinoform lenses), a method based on the Monte Carlo procedure is suggested. This method can be regarded as analogous to the iterative Fourier transform algorithm method that is widely used for the optimization of Fourier-type computer-generated phase holograms (kinoforms).

© 1998 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(220.3630) Optical design and fabrication : Lenses

Citation
Nandor Bokor and Zsolt Papp, "Optimization of Kinoform Lenses with the Monte Carlo Method," Appl. Opt. 37, 3685-3688 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-17-3685


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References

  1. J. P. Waters, “Three-dimensional Fourier-transform method for synthesizing binary holograms,” J. Opt. Soc. Am. 58, 1284–1288 (1968). [CrossRef]
  2. D. Leseberg and Ch. Frère, “Computer-generated holograms of 3-D objects composed of tilted planar segments,” Appl. Opt. 27, 3020–3023 (1988). [CrossRef] [PubMed]
  3. J. A. Jordan, Jr., P. M. Hirsch, L. B. Lesem, and D. L. Van Rooy, “Kinoform lenses,” Appl. Opt. 9, 1883–1887 (1970). [PubMed]
  4. J.-J. Clair, “New methods to synthesize kinoforms,” Opt. Commun. 6, 135–137 (1972). [CrossRef]
  5. N. Bokor and Zs. Papp, “Monte Carlo method in computer holography,” Opt. Eng. 36, 1014–1020 (1997). [CrossRef]
  6. J. Turunen, A. Vasara, and J. Westerholm, “Kinoform phase relief synthesis: a stochastic method,” Opt. Eng. 28, 1162–1167 (1989). [CrossRef]
  7. H. Lüpken, Th. Peter, F. Wyrowski, and O. Bryngdahl, “Phase synthesis for array illuminator,” Opt. Commun. 91(3, 4), 163–167 (1992). [CrossRef]
  8. F. Wyrowski and O. Bryngdahl, “Iterative Fourier-transform algorithm applied to computer holography,” J. Opt. Soc. Am. A 5, 1058–1065 (1988). [CrossRef]

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