The correlation properties of speckle fields are studied for general paraxial systems. The previous studies on lateral and longitudinal speckle size for the case of free-space propagation (Fresnel transform) are generalized to the case of the linear canonical transform. These results have implications for the control of speckle size, through appropriate design of optical systems, with particular relevance for speckle interferometry.
© 2007 Optical Society of America
Fourier Optics and Signal Processing
Original Manuscript: June 13, 2007
Revised Manuscript: August 18, 2007
Manuscript Accepted: September 12, 2007
Published: November 20, 2007
Damien P. Kelly, Jennifer E. Ward, Unnikrishnan Gopinathan, and John T. Sheridan, "Controlling speckle using lenses and free space," Opt. Lett. 32, 3394-3396 (2007)