title: Green's function of the time-dependent radiative transport equation in terms of rotated spherical harmonics.
abstract: The time-dependent radiative transport equation is solved for the three-dimensional spatially uniform infinite medium which is illuminated by a point unidirectional source using a spherical harmonics transform under rotation. Apart from the numerical evaluation of a spherical Hankel transform which connects the spatial distance with the radial distance in Fourier space, the dependence on all variables is found analytically. For the special case of a harmonically modulated source, even the spherical Hankel transform can be carried out analytically. Additionally, a special solution for the isotropically scattering infinite medium is given. The Monte Carlo method is used for a successful verification of the derived solution.
authors.affiliation: Institut für Lasertechnologien in der Medizin und Meßtechnik, Helmholtzstr. 12, D-89081 Ulm, Germany.
authors.forename: André
authors.initials: A
authors.lastname: Liemert
authors.forename: Alwin
authors.initials: A
authors.lastname: Kienle
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation