title: Inverse scattering for the diffusion equation with general boundary conditions.
abstract: We consider the inverse scattering problem for the diffusion equation. A solution to this problem in the form of an explicit inversion formula is derived. Computer simulations are used illustrate our approach in model systems.
authors.affiliation: Department of Electrical Engineering, Washington University, St. Louis, Missouri 63130, USA.
authors.forename: V A
authors.initials: VA
authors.lastname: Markel
authors.forename: J C
authors.initials: JC
authors.lastname: Schotland
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D005583:Fourier Analysis; D008027:Light; D015233:Models, Statistical; D012542:Scattering, Radiation