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Applied Optics

Applied Optics


  • Vol. 24, Iss. 2 — Jan. 15, 1985
  • pp: 215–216

Geometrical invariance property of gratings

D. Maystre, M. Neviere, and W. R. Hunter  »View Author Affiliations

Applied Optics, Vol. 24, Issue 2, pp. 215-216 (1985)

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The invariance of the direction of a given order diffracted by a grating used in conical diffraction (i.e., in off-plane mounting) when the grating is rotated about a suitable direction is established. The extension of this property to crossed gratings (2-D gratings) is demonstrated. An explanation of this amazing property is given in terms of Fermat's principle and applies to any reflecting surface.

© 1985 Optical Society of America

Original Manuscript: October 6, 1984
Published: January 15, 1985

D. Maystre, M. Neviere, and W. R. Hunter, "Geometrical invariance property of gratings," Appl. Opt. 24, 215-216 (1985)

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  1. D. Maystre, M. Neviere, R. Petit, “Experimental Verifications and Applications of the Theory,” in Electromagnetic Theory of Gratings, R. Petit, Ed. (Springer, Berlin, 1980), pp. 159–225. [CrossRef]
  2. W. Werner, “X-ray Efficiencies of Blazed Gratings in Extreme Off-Plane Mountings,” Appl. Opt. 16, 2078 (1977). [CrossRef] [PubMed]
  3. M. Neviere, D. Maystre, W. R. Hunter, “Use of Classical and Conical Diffraction Mountings for XUV Gratings,” J. Opt. Soc. Am. 68, 1106 (1967). [CrossRef]
  4. P. Vincent, M. Neviere, D. Mastre, “X-ray Gratings: the GMS Mounts,” Appl. Opt. 18, 1780 (1979). [CrossRef] [PubMed]
  5. W. Cash, “Echelle Spectrographs at Grazing Incidence,” Appl. Opt. 21, 710 (1982). [CrossRef] [PubMed]
  6. D. Maystre, “Integral Methods,” in Electromagnetic Theory of Gratings, R. Petit, Ed. (Springer, Berlin, 1980), p. 87.
  7. D. Maystre, M. Neviere, “Electromagnetic Theory of Crossed Gratings,” J. Opt. 9, 301 (1978). [CrossRef]
  8. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1964), p. 281.

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