1 research outputs found
A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation
When lifting the assumption of spatially-independent scattering centers in
classical linear transport theory, collision rate is no longer proportional to
angular flux / radiance because the macroscopic cross-section
depends on the distance to the previous collision or boundary. We
generalize collision and track-length estimators to support unbiased estimation
of either flux integrals or collision rates in generalized radiative transfer
(GRT). To provide benchmark solutions for the Monte Carlo estimators, we derive
the four Green's functions for the isotropic point source in infinite media
with isotropic scattering. Additionally, new moment-preserving diffusion
approximations for these Green's functions are derived, which reduce to
algebraic expressions involving the first four moments of the free-path lengths
between collisions.Comment: 3rd revision based on reviewer feedbac