Statistical Properties Of The Speckle Phase In Image And Diffraction Fields
Abstract
Characteristics of the phase of Gaussian speckles are studied theoretically in both image and diffraction fields. The general analysis for these studies is given by introducing an "optical system function," and the results are applied to the analysis of the speckle phases in both fields. The speckle phase distributions are evaluated by a phase angle defined as the extent of the equiprobability density ellipse stretched from the origin in the complex plane of the speckle amplitude. In addition, several peculiar properties of the equiprobability density ellipse are summarized.
 Publication:

Optical Engineering
 Pub Date:
 May 1986
 DOI:
 10.1117/12.7973876
 Bibcode:
 1986OptEn..25..627T
 Keywords:

 Diffraction Patterns;
 Speckle Patterns;
 Statistical Mechanics;
 Ellipses;
 Fresnel Diffraction;
 Normal Density Functions;
 Phase Shift;
 Probability Density Functions;
 Instrumentation and Photography