NUMERICAL-SIMULATION OF SCATTERER POSITIONS IN A VERY DENSE MEDIUM WITH AN APPLICATION TO THE 2-DIMENSIONAL BORN APPROXIMATION

Electromagnetic volume scattering theories for random media using a co herent field approach require some understanding of the statistical be havior of the locations of individual scatterers within the random med ium. This knowledge manifests itself as the correlation function or pa ir distribution function, which is used to characterize the medium. Th is article presents a method for simulating the arrangements of partic les of arbitrary shape within a very dense random medium, thus allowin g for these functions to be calculated numerically. To demonstrate the significance of the Monte Carlo simulation, the problem of scattering from a two-dimensional dense random medium is considered. Using a fir st-order solution based on the Born approximation, it is shown that th e approximate theoretically derived correlation function may lead to s ignificant errors in the prediction of the backscatter response.