Abstract

A method has been described to determine a priori the optimum number of samples required to estimate the eigenvalues in the Karhunen–Loeve expansion of a polychromatic speckle pattern without solving the relevant integral equation. It is found that choosing samples less than this number leads to an incorrect estimate of the eigenvalues, while choosing a larger number of samples does not change the eigenvalues significantly. Thus the method allows the use of the Karhunen–Loeve expansion with minimum effort and leads to an accurate estimate of the probability density function of the intensity. Owing to the general nature of this method, it is also applicable to a large class of problems where the Karhunen–Loeve expansion is used.

© 1980 Optical Society of America

Expected number of intensity level crossings in a normal speckle pattern

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J. Opt. Soc. Am. 70(7) 874-876 (1980)

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Fibrous radial structure of speckle patterns in polychromatic light

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