A two-dimensional inverse problem for time-dependent energy transport in a stratified turbid half-space is considered. The structure of the fundamental solution is analyzed, and the equation for Green's function, i.e. the regular part of the fundamental solution, is given together with the initial and boundary conditions. The initial value of Green's function is related to the medium parameters, and this condition is employed to reconstruct the scattering coefficient when the other parameters are assumed to be known. The emerging angular distribution at the surface of the stratified half-space, which is uniformly illuminated by a laser pulse, is required as the input data to solve the inverse problem. A non-iterative algorithm for the reconstruction is given, and the numerical results are presented for both the clean and noisy data.
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