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.
Publié le : 2011-03-15
Classification:
Stochastic differential equation,
scattering of waves,
K-distribution,
Fokker-Planck equation,
population dynamics,
diffusion process,
74J20,
93E03
@article{1300198150,
author = {Fayard, Patrick and Field, Timothy R.},
title = {Discrete models for scattering populations},
journal = {J. Appl. Probab.},
volume = {48},
number = {1},
year = {2011},
pages = { 285-292},
language = {en},
url = {http://dml.mathdoc.fr/item/1300198150}
}
Fayard, Patrick; Field, Timothy R. Discrete models for scattering populations. J. Appl. Probab., Tome 48 (2011) no. 1, pp. 285-292. http://gdmltest.u-ga.fr/item/1300198150/