Guillaume Bal
Columbia University
Date: August 3, 2004
Transport solutions in highly scattering media are known to be well-approximated by solutions to diffusion equations. As several numerical studies show, the presence of non-scattering areas, such as clear layers in optical tomography, hampers the use of classical diffusion. I will show that ``generalized'' diffusion equations can be derived to model the transport solution accurately in the small mean free path limit. I will then show that such clear layers (as well as any inhomogeneities inside the clear layer) can be uniquely determined by boundary measurements.