Abstract

First-order statistics of the speckle phase are studied on an axis of the imaging system under the assumption of Gaussian statistics for the formation of the speckle field. It is found that the speckle phase is most widely distributed at the image plane owing to the noncircularity of the speckle field. Asymmetry of the probability-density distribution of the speckle phase also appears to be due to the inclination of the joint probability density of the complex speckle amplitude. These statistical characteristics of the speckle phase are enhanced for relatively small values of the optical roughness of the object.

© 1985 Optical Society of America

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)

Statistical properties of laser speckle produced in the diffraction field

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

Statistical properties of doubly scattered image speckle

Takeaki Yoshimura and Kazuo Fujiwara
J. Opt. Soc. Am. A 9(1) 91-95 (1992)

Spectral correlation of partially or fully developed speckle patterns generated by rough surfaces

Bernd Ruffing and Jürgen Fleischer
J. Opt. Soc. Am. A 2(10) 1637-1643 (1985)