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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 20 — Jul. 10, 2006
  • pp: 4821–4825

Linear displacement measurement with a grating and speckle pattern illumination

Fernando Perez-Quintián, Ariel Lutenberg, and María A. Rebollo  »View Author Affiliations

Applied Optics, Vol. 45, Issue 20, pp. 4821-4825 (2006)

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We present a study of the variations of a speckle pattern passing through a grating that can be displaced. This study is described theoretically by a simple model based on the scalar diffraction theory in the Fresnel zone. The intensity correlation of the modified speckle as a function of the grating displacement is obtained and compared with experimental results. The possibilities of metrological applications in optical encoders are suggested.

© 2006 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(050.1950) Diffraction and gratings : Diffraction gratings
(120.3940) Instrumentation, measurement, and metrology : Metrology

Original Manuscript: October 6, 2005
Revised Manuscript: December 26, 2005
Manuscript Accepted: February 23, 2006

Fernando Perez-Quintián, Ariel Lutenberg, and María A. Rebollo, "Linear displacement measurement with a grating and speckle pattern illumination," Appl. Opt. 45, 4821-4825 (2006)

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