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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 30 — Oct. 20, 2007
  • pp: 7392–7400

Iterative algorithms for off-axis double-phase computer-generated holograms implemented with phase-only spatial light modulators

Alexander V. Kuzmenko and Pavel V. Yezhov  »View Author Affiliations

Applied Optics, Vol. 46, Issue 30, pp. 7392-7400 (2007)

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Two iterative methods for the calculation of double-phase holograms (DPHs) are described. The calculation of DPHs by any of these methods allows one to qualitatively reconstruct the amplitude and phase of a wavefront on a format up to 50 % of the spatial size of a reconstruction order (in the previous methods, this format was 35 % ). It is shown that the reconstruction can be realized in this case not only into the 0, + 1 , or 1 orders, as usual, but also into a half-order ( + 1 / 2   or   1 / 2 ) . The diffraction efficiency of phase-only DPHs is also discussed. The results of numerical and optical experiments are presented.

© 2007 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(090.1760) Holography : Computer holography
(090.2890) Holography : Holographic optical elements
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: March 26, 2007
Revised Manuscript: July 28, 2007
Manuscript Accepted: August 9, 2007
Published: October 10, 2007

Alexander V. Kuzmenko and Pavel V. Yezhov, "Iterative algorithms for off-axis double-phase computer-generated holograms implemented with phase-only spatial light modulators," Appl. Opt. 46, 7392-7400 (2007)

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  1. L. P. Yaroslavsky and N. S. Merzlyakov, Methods of Digital Holography (Consultance Bureau, 1980).
  2. C. K. Hsueh and A. A. Sawchuk, "Computer-generated double-phase hologram," Appl. Opt. 17, 3874-3883 (1978). [CrossRef] [PubMed]
  3. S. Krueger, G. Wernicke, H. Gruber, N. Demoli, M. Duerr, and S. Teiwes, "New challenges for spatial modulators--laser beam splitting and beam shaping, reconstruction of digital holograms," Proc. SPIE 4291, 487-498 (2003).
  4. J. M. Florence and R. D. Juday, "Full-complex spatial filtering with a phase mostly DMD," Proc. SPIE 1558, 487-498 (1991). [CrossRef]
  5. V. Arrizón, "Improved double-phase computer-generated holograms implemented with phase-modulation devices," Opt. Lett. 27, 595-597 (2002). [CrossRef]
  6. V. Arrizón and D. Sanchez-de-la-Llave, "Double-phase holograms implemented with phase-only spatial light modulators: performance evaluation and improvement," Appl. Opt. 27, 3436-3447 (2002). [CrossRef]
  7. A. W. Lohmann and D. P. Paris, "Binary Fraunhofer holograms, generated by computer," Appl. Opt. 6, 1739-1748 (1967). [CrossRef] [PubMed]
  8. H. Dammann, "Blazed synthetic phase-only holograms," Optik 31, 95-104 (1970).
  9. J. N. Mait and G. S. Himes, "Computer-generated holograms by means of a magnetooptic spatial light modulator," Appl. Opt. 28, 4879-4887 (1989). [CrossRef] [PubMed]
  10. J. Turunen, J. Fagerholm, A. Vasara, and M. R. Taghizadeh, "Detour-phase kinoform interconnects: the concept and fabrication considerations," J. Opt. Soc. Am. 7, 1202-1208 (1990). [CrossRef]
  11. F. Wyrowski, "Diffractive optical elements: iterative calculation of quantized, blazed phase structures," J. Opt. Soc. Am. A 7, 961-969 (1990). [CrossRef]
  12. A. V. Kuzmenko, "A method of the synthesis of a kinoform," UA patent 65295 (Ukraine), Byull. 1 (2006).
  13. F. Wyrowski, "Upper bound of the diffraction efficiency of diffractive phase elements," Opt. Lett. 16, 1915-1917 (1991). [CrossRef] [PubMed]

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