Abstract

A new theoretical method with generality is proposed to study the statistical properties of the speckle phase. The general expression of the standard deviation of the speckle phase about the first-order statistics is derived according to the relation between the phase and the complex speckle amplitude. The statistical properties of the speckle phase have been studied in the diffraction fields with this new theoretical method.

© 2009 Chinese Optics Letters

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)

Statistical properties of the speckle phase in the diffraction region

H. Kadono, N. Takai, and T. Asakura
J. Opt. Soc. Am. A 3(7) 1080-1089 (1986)

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)

Statistical properties of the speckle phase in the optical imaging system

Hirofumi Kadono and Toshimitsu Asakura
J. Opt. Soc. Am. A 2(10) 1787-1792 (1985)

Statistical properties of laser speckle produced in the diffraction field

Junji Ohtsubo and Toshimitsu Asakura
Appl. Opt. 16(6) 1742-1753 (1977)