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
Coherence and Statistical Optics
Jeremy Pearce, Zhongping Jian, and Daniel M. Mittleman, "Bayesian approach to non-Gaussian field statistics for diffusive broadband terahertz pulses," Opt. Lett. 30, 2843-2845 (2005)