Diffusion processes in electromagnetic scattering generating Kdistributed noise
Abstract
Wepresent a classification of continuoustime diffusion processes for the local scattering crosssection and scattered intensity for an electromagnetic field scattering from a random medium, such that the asymptotic marginal distribution for the intensity is the Kdistribution. These processes are represented as Ito stochastic differential equations, which enables identification of their stochastic volatilities with certain free functions that serve to calibrate the model. A study is made of the volatility behaviour of the electromagnetic intensity scattered from a random phase screen, which establishes the form of the volatility function to a high accuracy. This model is used to derive a stochastic differential equation for the complexvalued amplitude, which is then applied to radar scattering from the sea surface for the purpose of anomaly detection.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 September 2003
 DOI:
 10.1098/rspa.2002.1100
 Bibcode:
 2003RSPSA.459.2169F