Abstract

A theoretical analysis based on statistical optics is presented for the diffraction halo functions of random speckle patterns either generated by a coherent source such as a laser or artificially created and illuminated by an incoherent radiation such as white light. It is shown that for a coherent speckle pattern the halo function is given by the autocorrelation of the squared aperture function of the recording system, whereas for a incoherent speckle pattern it is governed by the squared autocorrelation of the aperture function.

© 1985 Optical Society of America

Diffraction halo function of partially coherent speckle photography

Chuanfu Cheng, Wenxian Liu, and Weiling Gui
Appl. Opt. 38(32) 6687-6691 (1999)

Decorrelation functions in laser speckle photography

D. W. Li and F. P. Chiang
J. Opt. Soc. Am. A 3(7) 1023-1031 (1986)

Two-dimensional digital processing of speckle photography fringes. 1: Diffraction halo influence for the noise-free case

S. A. Isacson and Guillermo H. Kaufmann
Appl. Opt. 24(2) 189-193 (1985)

Two-dimensional digital processing of speckle photography fringes. 2: Diffraction halo influence for the noisy case

Saul A. Isacson and Guillermo H. Kaufmann
Appl. Opt. 24(10) 1444-1447 (1985)

Speckle and speckle-shearing interferometers combined for the stimultaneous determination of out-of-plane displacement and slope

R. K. Mohanty, C. Joenathan, and Rajpal S. Sirohi
Appl. Opt. 24(18) 3106-3109 (1985)