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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

  • Vol. 5, Iss. 5 — May. 1, 1988
  • pp: 702–712

Design of holographic optical elements by using recursive techniques

Y. Amitai and A. A. Friesem  »View Author Affiliations


JOSA A, Vol. 5, Issue 5, pp. 702-712 (1988)
http://dx.doi.org/10.1364/JOSAA.5.000702


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Abstract

In order to record holographic optical elements, recursive design techniques were developed for obtaining complex aspheric wave fronts from a relatively simple hologram. We present the mathematical formalism of this technique with a specific illustration of a holographic Fourier transform, designed with complex wave fronts that were derived recursively from two previous holograms. Both the calculated and the experimental results demonstrate a holographic lens that can handle input angles of up to ±12° with essentially diffraction-limited performance.

© 1988 Optical Society of America

History
Original Manuscript: August 12, 1987
Manuscript Accepted: December 1, 1987
Published: May 1, 1988

Citation
Y. Amitai and A. A. Friesem, "Design of holographic optical elements by using recursive techniques," J. Opt. Soc. Am. A 5, 702-712 (1988)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-5-5-702


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References

  1. R. W. Meier, “Magnification and third-order aberrations in holography,” J. Opt. Soc. Am. 55, 987–992 (1965).
  2. E. B. Champagne, “Nonparaxial imaging, magnification and aberration properties in holography,” J. Opt. Soc. Am. 57, 51–55 (1967). [CrossRef]
  3. A. Offner, “Ray tracing through a holographic system,” J. Opt. Soc. Am. 56, 1509–1512 (1966). [CrossRef]
  4. J. N. Latta, “Computer-based analysis of holography using ray tracing,” Appl. Opt. 10, 2698–2710 (1971). [CrossRef] [PubMed]
  5. J. N. Latta, “Computer-based analysis of hologram imagery and aberration,” Appl. Opt. 10, 599–618 (1971). [CrossRef] [PubMed]
  6. O. Bryngdahl, “Computer-generated holograms as generalized optical components,” Opt. Eng. 14, 426–435 (1975). [CrossRef]
  7. W. H. Lee, “Computer-generated holograms: techniques and applications,” Prog. Opt. 16, 119–232 (1978). [CrossRef]
  8. R. C. Fairchild, J. R. Fienup, “Computer-originated aspheric holographic optical element,” Opt. Eng. 21, 133–140 (1982). [CrossRef]
  9. K. A. Winick, J. R. Fienup, “Optimum holographic elements with nonspherical wave front,” J. Opt. Soc. Am. 73, 208–217 (1983). [CrossRef]
  10. J. Kedmi, A. A. Friesem, “Optimal holographic Fourier-transform lens,” Appl. Opt. 23, 4015–4019 (1984). [CrossRef] [PubMed]
  11. J. Kedmi, A. A. Friesem, “Optimized holographic optical elements,” J. Opt. Soc. Am. A 3, 2011–2018 (1986). [CrossRef]
  12. H. Chen, R. R. Hershey, E. N. Leith, “Design of a holographic lens for the infrared,” Appl. Opt. 26, 1983–1988 (1987). [CrossRef] [PubMed]
  13. J. N. Cederquist, J. R. Fienup, “Analytic design of optimum holographic optical elements,” J. Opt. Soc. Am. A 4, 699–705 (1987). [CrossRef]
  14. L. H. Lin, E. T. Doherty, “Efficient and aberration-free wavefront reconstruction from hologram illuminated at wavelength differing from the forming wavelength,” Appl. Opt. 10, 1314–1318 (1971). [CrossRef] [PubMed]
  15. Y. Amitai, A. A. Friesem, “Recursive design techniques for Fourier transform holographic lenses,” Opt. Eng. 26, 1133–1139 (1987). [CrossRef]
  16. J. L. Rayces, “Exact relation between wave aberration and ray aberration,” Opt. Acta 11, 85–88 (1964). [CrossRef]

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