Matias Courdurier (Pontificia Universidad Católica de Chile)
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PDL C-038
In this talk we will discuss a paraxial approximation to the linear
transport equation in a highly peaked forward scattering regime, in a
medium with slightly variable speed. The approximation gives rise to a
propagation model that is a variation of the Fermi pencil-beam
equation with an extra term. This modified equation admits an explicit
solution, and measurements along all the lines traversing an unknown
object allows for an inverse problem to be posed and analyzed, with
the goal of recovering the unknown attenuation, speed and scattering
coefficients.
This is a joint work with Simon Arridge (UCL) and Benjamin Palacios (PUC-Chile)