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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 14, Iss. 6 — Jun. 1, 1997
  • pp: 1293–1296

Phase holographic optical elements and geometrical optics

P. J. Twardowski and J. Harthong  »View Author Affiliations

JOSA A, Vol. 14, Issue 6, pp. 1293-1296 (1997)

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In the framework of geometrical optics, we show that the general ray-tracing formula for finding the direction of the diffracted rays for thin phase holographic optical elements located on any arbitrary continuous surface can be derived in a form similar to Fermat's principle.

© 1997 Optical Society of America

Original Manuscript: May 15, 1996
Revised Manuscript: December 2, 1996
Manuscript Accepted: December 2, 1996
Published: June 1, 1997

P. J. Twardowski and J. Harthong, "Phase holographic optical elements and geometrical optics," J. Opt. Soc. Am. A 14, 1293-1296 (1997)

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  1. S. D. Brorson, H. A. Haus, “Diffraction gratings and geometrical optics,” J. Opt. Soc. Am. B 5, 247–248 (1988). [CrossRef]
  2. N. Abramson, “Principle of least wave change,” J. Opt. Soc. Am. A 6, 627–629 (1989). [CrossRef] [PubMed]
  3. R. Collier, C. Burkhardt, L. Lin, Optical Holography (Academic, New York, 1971), Chap. 8, pp. 224–225.
  4. W. T. Welford, “A vector raytracing equation for hologram lenses of arbitrary shape,” Opt. Commun. 14, 322–323 (1975). [CrossRef]
  5. R. N. Smith, “A note on practical formulae for finite ray-tracing through holograms and diffractive optical elements,” Opt. Commun. 55, 11–12 (1985). [CrossRef]

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