Abstract

The operator description of speckle patterns is extended for analysis of patterns produced by polychromatic illumination or other methods of illumination with two uncorrelated beams. Special emphasis is put on Gaussian beam illumination and the expressions obtained under various simplifying assumptions neatly explain experimental observations published in the recent literature. The results also indicate methods for the measurement of surface roughness and object motion.

© 1984 Optical Society of America

Static and dynamic behavior of speckle patterns described by operator algebra

Y. Fainman, J. Shamir, and E. Lenz
Appl. Opt. 20(20) 3526-3538 (1981)

Fibrous radial structure of speckle patterns in polychromatic light

Y. Tomita, K. Nakagawa, and T. Asakura
Appl. Opt. 19(18) 3211-3218 (1980)

Dependence of polychromatic-speckle-pattern contrast on imaging and illumination directions

Yi-Qun Hu
Appl. Opt. 33(13) 2707-2714 (1994)

Distance measurements by speckle correlation of objective speckle patterns, structured by the illumination

Michael Linde Jakobsen and Steen Grüner Hanson
Appl. Opt. 51(19) 4316-4324 (2012)

Surface roughness measurements by means of polychromatic speckle patterns

C. T. Stansberg
Appl. Opt. 18(23) 4051-4060 (1979)