Abstract

We develop a closed-form expression for the probability distribution function for the field components of a diffusive broadband wave propagating through a random medium. We consider each spectral component to provide an individual observation of a random variable, the configurationally averaged spectral intensity. Since the intensity determines the variance of the field distribution at each frequency, this random variable serves as the Bayesian prior that determines the form of the non-Gaussian field statistics. This model agrees well with experimental results.

© 2005 Optical Society of America

Nonstationary time-domain statistics of multiply scattered broadband terahertz pulses

Jeremy Pearce, Kevin Doyle, Zhongping Jian, Jason Deibel, and Daniel M. Mittleman
J. Opt. Soc. Am. B 23(8) 1506-1510 (2006)

Non-Gaussian statistics of multiple filamentation

Pavel M. Lushnikov and Natalia Vladimirova
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Polarization degree of optical waves with non-Gaussian probability density functions: Kullback relative entropy-based approach

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Opt. Lett. 30(10) 1090-1092 (2005)

Spectral shifts as a signature of the onset of diffusion of broadband terahertz pulses

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Opt. Lett. 29(24) 2926-2928 (2004)

Local diffusion regularization method for optical tomography reconstruction by using robust statistics

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