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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 166–171

Phase constraint for the waves diffracted by lossless symmetrical gratings at Littrow mount

Cristiano M.B. Cordeiro, Edson J. de Carvalho, Lucila Cescato, Agnaldo A. Freschi, and Lifeng Li  »View Author Affiliations


JOSA A, Vol. 23, Issue 1, pp. 166-171 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000166


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Abstract

The energy conservation of grating diffraction is analyzed in a particular condition of incidence in which two incident waves reach a symmetrical grating from the two sides of the grating normal at the first-order Littrow mounting. In such a situation the incident waves generate an interference pattern with the same period as the grating. Thus in each direction of diffraction, interference occurs between two consecutive diffractive orders of the symmetrical incident waves. By applying only energy conservation and the geometrical symmetry of the grating profile to this problem it is possible to establish a general constraint for the phases and amplitudes of the diffracted orders of the same incident wave. Experimental and theoretical results are presented confirming the obtained relations.

© 2006 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.5080) Diffraction and gratings : Phase shift

ToC Category:
DIFFRACTIVE OPTICS AND MICRO-OPTICS

Citation
Cristiano M. Cordeiro, Edson J. de Carvalho, Lucila Cescato, Agnaldo A. Freschi, and Lifeng Li, "Phase constraint for the waves diffracted by lossless symmetrical gratings at Littrow mount," J. Opt. Soc. Am. A 23, 166-171 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-1-166

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