Diffusion processes in electromagnetic scattering generating Kdistributed noise

Wepresent a classification of continuous-time diffusion processes for the local scattering cross-section and scattered intensity for an electromagnetic field scattering from a random medium, such that the asymptotic marginal distribution for the intensity is the Kdistribution. 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 complexvalued amplitude, which is then applied to radar scattering from the sea surface for the purpose of anomaly detection.