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
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)