Numerical Integration of the Feynman Path Integral for Radiative Transport
International Conference on Mathematics, Computational Methods and Reactor Physics, Saratoga Springs, New York, May 3-7, 2009, American Nuclear Society.
The radiative transport problem is cast in integral form using a transport kernel. The transport kernel has an explicit representation in terms of a Feynman Path Integral over all paths between selected points in a volume. This representation is setup in detail. Numerical evaluation of this Path Integral is formulated with a Frenet-Serret based procedure for generating valid random paths, and with a numerical evaluation of the weight for each valid path. Very early sanity checks of a numerical implementation are reported. Approaches to optimization are identified.