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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. 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)
http://dx.doi.org/10.1364/JOSAA.14.001293


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Abstract

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

Citation
P. J. Twardowski and J. Harthong, "Phase holographic optical elements and geometrical optics," J. Opt. Soc. Am. A 14, 1293-1296 (1997)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-6-1293


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References

  1. S. D. Brorson and H. A. Haus, “Diffraction gratings and geometrical optics,” J. Opt. Soc. Am. B 5, 247–248 (1988).
  2. N. Abramson, “Principle of least wave change,” J. Opt. Soc. Am. A 6, 627–629 (1989).
  3. R. Collier, C. Burkhardt, and 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).
  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).

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