Diffusion processes in electromagnetic scattering generating Kdistributed 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 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.