Abstract
Jakeman's random walk model with step number fluctuations describes the coherent amplitude scattered from a rough medium in terms of the summation of individual scatterers' contributions. If the scattering population conforms to a birth-death immigration model, the resulting amplitude is K-distributed. In this context, we derive a class of diffusion processes as an extension of the ordinary birth-death immigration model. We show how this class encompasses four different cross-section models commonly studied in the literature. We conclude by discussing the advantages of this unified description.
Citation
Patrick Fayard. Timothy R. Field. "Discrete models for scattering populations." J. Appl. Probab. 48 (1) 285 - 292, March 2011. https://doi.org/10.1239/jap/1300198150
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