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Applied Optics

Applied Optics


  • Vol. 42, Iss. 26 — Sep. 10, 2003
  • pp: 5274–5283

Computer-generated stratified diffractive optical elements

Stefan Borgsmüller, Steffen Noehte, Christoph Dietrich, Tobias Kresse, and Reinhard Männer  »View Author Affiliations

Applied Optics, Vol. 42, Issue 26, pp. 5274-5283 (2003)

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We present what is to our knowledge a new type of diffractive optical element (DOE), the computer-generated stratified diffractive optical element (SDOE), a hybridization of thin computer-generated DOEs and volume holograms. A model and several algorithms for calculating computer-generated SDOEs are given. Simulations and experimental results are presented that exhibit the properties of computer-generated SDOEs: the strong angular and wavelength selectivity of SDOEs makes it possible to store multiple pages in a computer-generated SDOE, which can be read out separately (multiplexing). The reconstruction of an optimized SDOE has a higher quality than the reconstruction of optimized one-layer DOEs. SDOEs can be calculated to have only one diffraction order.

© 2003 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
(090.2890) Holography : Holographic optical elements
(090.4220) Holography : Multiplex holography
(210.4680) Optical data storage : Optical memories

Original Manuscript: November 14, 2002
Revised Manuscript: April 14, 2003
Published: September 10, 2003

Stefan Borgsmüller, Steffen Noehte, Christoph Dietrich, Tobias Kresse, and Reinhard Männer, "Computer-generated stratified diffractive optical elements," Appl. Opt. 42, 5274-5283 (2003)

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  1. R. R. A. Syms, Practical Volume Holography (Clarendon, Oxford, 1972).
  2. F. Wyrowski, O. Bryngdhal, “Digital holography as part of diffractive optics,” Rep. Prog. Phys. 54, 1481–1571 (1991). [CrossRef]
  3. J. Turunen, A. Vasara, H. Ichikawa, E. Noponen, J. Westerholm, M. R. Taghizadeh, J. M. Miller, “Storage of multiple images in a thin synthetic Fourier hologram,” Opt. Commun. 84, 383–392 (1991). [CrossRef]
  4. J. Bengtsson, “Kinoform designed to produce different fan-out patterns for two wavelengths,” Appl. Opt. 37, 2011–2020 (1998). [CrossRef]
  5. N. N. Evtikhiev, D. I. Mirovitskiy, N. V. Rostovtseva, O. B. Serov, T. V. Yakovleva, “Bilayer holograms: theory and experiments,” Opt. Acta 33, 255–268 (1986). [CrossRef]
  6. K. Spariosu, T. Tengara, T. Jannson, “Stratified volume diffractive elements: modeling and applications,” in Optical Thin Films V: New Developments, R. L. Hall, ed., Proc. SPIE3133, 101–109 (1997). [CrossRef]
  7. D. M. Chambers, G. P. Nordin, “Stratified volume diffractive optical elements as high-efficiency gratings,” J. Opt. Soc. Am. A 16, 1184–1193 (1999). [CrossRef]
  8. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  9. R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237–246 (1972).
  10. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [CrossRef] [PubMed]
  11. T. Haist, M. Schönleber, H. J. Tiziani, “Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays,” Opt. Commun. 140, 299–308 (1997). [CrossRef]
  12. D. Kermisch, “Image reconstruction from phase information only,” J. Opt. Soc. Am. 60, 15–17 (1970). [CrossRef]
  13. R. S. Bennink, A. K. Powell, D. A. Fish, “An efficient method of implementing near-field diffraction in computer-generated hologram design,” Opt. Commun. 141, 194–202 (1997). [CrossRef]

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