Bela A. Frigyik
University of Washington
Date: April 24, 2006
The paper discusses two - related - inverse problems for the linear Boltzmann equation (the dynamical one). The first one is a method to recover the coefficients of this integro-differential equation from the scattering operator. Since there is a relation between the albedo operator and the scattering operator if the underlying set is convex, we instantly gain a recovery process for the coefficients if we know only the former. Moreover, this paper shows, that even if the underlying set is not convex there is a way to solve the second inverse problem, which is to recover the coefficients from the albedo operator without calculating the scattering operator.