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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. 7 — Jul. 1, 2008
  • pp: 1609–1622

Designing multiplane computer-generated holograms with consideration of the pixel shape and the illumination wave

Thomas Kämpfe, Ernst-Bernhard Kley, and Andreas Tünnermann  »View Author Affiliations


JOSA A, Vol. 25, Issue 7, pp. 1609-1622 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001609


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Abstract

The majority of image-generating computer-generated holograms (CGHs) are calculated on a discrete numerical grid, whose spacing is defined by the desired pixel size. For single-plane CGHs the influence of the pixel shape and the illumination wave on the actual output distribution is minor and can be treated separately from the numerical calculation. We show that in the case of multiplane CGHs this influence is much more severe. We introduce a new method that takes the pixel shape into account during the design and derive conditions to retain an illumination-wave-independent behavior.

© 2008 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(090.1760) Holography : Computer holography
(090.4220) Holography : Multiplex holography
(100.5070) Image processing : Phase retrieval
(220.4000) Optical design and fabrication : Microstructure fabrication

ToC Category:
Holography

History
Original Manuscript: March 3, 2008
Revised Manuscript: April 18, 2008
Manuscript Accepted: April 26, 2008
Published: June 18, 2008

Citation
Thomas Kämpfe, Ernst-Bernhard Kley, and Andreas Tünnermann, "Designing multiplane computer-generated holograms with consideration of the pixel shape and the illumination wave," J. Opt. Soc. Am. A 25, 1609-1622 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-7-1609


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References

  1. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237-246 (1972).
  2. S. Borgsmüller, S. Noethe, C. Dietrich, T. Kresse, and R. Männer, “Computer-generated stratified diffractive optical elements,” Appl. Opt. 42, 5274-5283 (2003). [CrossRef] [PubMed]
  3. T. Kämpfe, E. B. Kley, and A. Tünnermann, “Creation of multicolor images by diffractive optical elements arranged in a stacked setup,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD-ROM, OSA Technical Digest (CD) (Optical Society of America, 2007), paper DTuD8. [PubMed]
  4. W. Cai, T. Reber, and R. Piestun, “Computer-generated volume holograms fabricated by femtosecond laser micromachining,” Opt. Lett. 31, 1836-1838 (2006). [CrossRef] [PubMed]
  5. D. Chambers, G. Nordin, and S. Kim, “Fabrication and analysis of a three-layer stratified volume diffractive optical element high-efficiency grating,” Opt. Express 11, 27-38 (2003). [CrossRef] [PubMed]
  6. R. Johnson and A. Tanguay, “Stratified volume holographic optical elements,” Opt. Lett. 13, 189-191 (1988). [CrossRef] [PubMed]
  7. E. Buckley, A. Cable, N. Lawrence, and T. Wilkinson, “Viewing angle enhancement for two- and three-dimensional holographic displays with random superresolution phase masks,” Appl. Opt. 45, 7334-7341 (2006). [CrossRef] [PubMed]
  8. T. Kämpfe, E. B. Kley, A. Tünnermann, and P. Dannberg, “Design and fabrication of stacked, computer-generated holograms for multicolor image generation,” Appl. Opt. 46, 5482-5488 (2007). [CrossRef] [PubMed]
  9. X. Deng and R. Chen, “Design of cascaded diffractive phase elements for three-dimensional multiwavelength optical interconnects,” Opt. Lett. 25, 1046-1048 (2000). [CrossRef]
  10. I. Barton, P. Blair, and M. R. Taghizadeh, “Dual-wavelength operation diffractive phase elements for pattern formation,” Opt. Express 1, 54-59 (1997). [CrossRef] [PubMed]
  11. A. Caley, A. Waddie, and M. Taghizadeh, “A novel algorithm for designing diffractive optical elements for two colour far-field pattern formation,” J. Opt. A, Pure Appl. Opt. 7, 276-279 (2005). [CrossRef]
  12. J. Bengtsson, “Kinoforms designed to produce different fan-out patterns for two wavelengths,” Appl. Opt. 37, 2011-2020 (1998). [CrossRef]
  13. Y. Ogura, N. Shirai, J. Tanida, and Y. Ichioka, “Wavelength-multiplexing diffractive phase elements: design, fabrication, and performance evaluation,” J. Opt. Soc. Am. A 18, 1082-1092 (2001). [CrossRef]
  14. P. Refregier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett. 20, 767-769 (1995). [CrossRef] [PubMed]
  15. H. Chang, W. Lu, and C. Kuo, “Multiple-phase retrieval for optical security systems by use of random-phase encoding,” Appl. Opt. 41, 4815-4834 (2002). [CrossRef]
  16. L. Chen and D. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552-8560 (2006). [CrossRef] [PubMed]
  17. E. Glytsis, “Two-dimensionally-periodic diffractive optical elements: limitations of scalar analysis,” J. Opt. Soc. Am. A 19, 702-715 (2002). [CrossRef]
  18. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company, 2005).
  19. L. Lesem, P. Hirsch, and J. Jordan, Jr., “Computer synthesis of holograms for 3-D display,” Commun. ACM 11, 661-674 (1968). [CrossRef]
  20. F. Wyrowski, R. Hauck, and O. Bryngdahl, “Computer-generated holography: hologram repetition and phase manipulations,” J. Opt. Soc. Am. A 4, 694-698 (1987). [CrossRef]

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