Mathematics – Complex Variables
Scientific paper
Nov 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976josa...66.1145g&link_type=abstract
Optical Society of America, Journal, vol. 66, Nov. 1976, p. 1145-1150. Navy-sponsored research.
Mathematics
Complex Variables
107
Complex Variables, Monochromatic Radiation, Polarized Light, Random Walk, Speckle Patterns, Statistical Analysis, Data Smoothing, Image Contrast, Irradiance, Laser Outputs, Probability Density Functions, Spatial Filtering, Spectrum Analysis, Standard Deviation, Wiener Filtering
Scientific paper
A speckle pattern formed in polarized monochromatic light may be regarded as resulting from a classical random walk in the complex plane. The resulting irradiance fluctuations obey negative exponential statistics, with ratio of standard deviation to mean (i.e., contrast) of unity. Reduction of this contrast, or smoothing of the speckle, requires diversity in polarization, space, frequency, or time. Addition of M uncorrelated speckle patterns on an intensity basis can reduce the contrast by 1/square root of M. However, addition of speckle patterns on a complex amplitude basis provides no reduction of contrast. The distribution of scale sizes in a speckle pattern (i.e., the Wiener spectrum) is investigated from a physical point of view.
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