Scattering Integral Equations for Diffusive Waves. Detection of Objects Buried in Diffusive Media in the Presence of Interfaces

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  • 16 February 1998
Abstract
The surface integral formalism is used here to derive the integral equations for the scattering of diffusive waves, which are numerically solved without approximations. The Extinction Theorem for diffusive waves is here introduced to obtain the boundary values of both the wave photon density and the current photon density. We find that the diffusion equation that neglects the spatial variation of the diffusion coefficient yields results that substantially depart from the results that include this term. We present this theory and apply it to the simulation of diffusive objects buried in diffusive media in the presence of interfaces.

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