Static and dynamic behavior of speckle patterns described by operator algebra
Abstract
Together with a simplifying operator notation, concepts of linear systems analysis are applied to the description of the speckle pattern produced when laser light is scattered by a moving surface. The discussion is restricted to linear and deterministic optical systems, but the surface statistics are almost arbitrary. It is reported that: (1) a general expression for the intensity correlation function describing the speckle pattern was derived; (2) the translational speckle motion and the mean Doppler shift were found to be independent of the surface statistics; (3) the dependence of speckle size, shape, and lifetime on statistics and apertures was found explicitly; and (4) the results are shown to reduce the usually accepted relations only for very restricting assumptions.
 Publication:

Applied Optics
 Pub Date:
 October 1981
 DOI:
 10.1364/AO.20.003526
 Bibcode:
 1981ApOpt..20.3526F
 Keywords:

 Coherent Light;
 Doppler Effect;
 Light Scattering;
 Operators (Mathematics);
 Speckle Patterns;
 Surface Reactions;
 Diffuse Radiation;
 Dynamic Characteristics;
 Frequency Shift;
 Linear Systems;
 Statistical Correlation;
 Lasers and Masers;
 SPECKLE PHENOMENA;
 SURFACES