On the Fluorescence Problem
Alexandru Tamasan
Abstract: In the fluorescence problem one tries to determine the source of
radiation
passing through an absorbing and scattering tissue, from far away
radiation or, equivalently, from boundary measurements. When there is
no scattering (high energy), inversion of the attenuated X-ray
transform does the job. In the presence of small enough (anisotropic
part of) scattering (near infrared situation), this can still be
done. Counter-intuitive, for three dimensional models,
only scatterings in the directions parallel to a fixed plane need be
small. This is recent work done jointly with Guillaume Bal.