Abstract

An analysis of the second-order conditional statistics of speckle patterns is developed, under the assumption of Gaussian field components. After deriving the conditional distributions and moments of intensity and phase for a joint measurement performed in the presence of partial correlation, the results of joint and conditional phase-variances are applied to determine the accuracy limits of speckle-pattern interferometric measurements.

© 1979 Optical Society of America

Second-order statistics of laser-speckle patterns*

M. G. Miller, A. M. Schneiderman, and P. F. Kellen
J. Opt. Soc. Am. 65(7) 779-785 (1975)

Second-order statistics of speckle patterns observed through finite-size scanning apertures

Richard Barakat and Julian Blake
J. Opt. Soc. Am. 68(5) 614-622 (1978)

Second-order conditional statistics of phase for partially developed speckle fields in the far field

Qiankai Wang
J. Opt. Soc. Am. A 8(1) 105-111 (1991)

Non-Gaussian speckle with correlated weak scatterers: a computer simulation

Hitoshi Fujii
J. Opt. Soc. Am. 69(11) 1573-1579 (1979)

First-order intensity and phase statistics of Gaussian speckle produced in the diffraction region

Jun Uozumi and Toshimitsu Asakura
Appl. Opt. 20(8) 1454-1466 (1981)