The discrete-ordinates method is formulated to solve transient radiative transfer with the incorporation of a transient term in the transfer equation in two-dimensional rectangular enclosures containing absorbing, emitting, and anisotropically scattering media subject to diffuse and/or collimated laser irradiation. The governing equations resulting from the discrete-ordinates discretization of the angular directions are further discretized in the spatial and the temporal domains by the finite-volume approach. The current formulation is suitable for solving transient laser transport in turbid media as well as for steady-state radiative transfer in many engineering problems. The method is applied to several example problems and compared with existing steady-state solutions and Monte Carlo transient solutions. Good agreement is found in all cases. Short-pulsed laser interaction and propagation in a turbid medium with high scattering albedo are studied. The imaging of an inhomogeneous zone inside a turbid medium is demonstrated.
© 2001 Optical Society of America
(000.4430) General : Numerical approximation and analysis
(030.5620) Coherence and statistical optics : Radiative transfer
(140.7090) Lasers and laser optics : Ultrafast lasers
(170.6920) Medical optics and biotechnology : Time-resolved imaging
(170.7050) Medical optics and biotechnology : Turbid media
Zhixiong Guo and Sunil Kumar, "Discrete-Ordinates Solution of Short-Pulsed Laser Transport in Two-Dimensional Turbid Media," Appl. Opt. 40, 3156-3163 (2001)