Lateral photon transport in dense scattering and weakly absorbing media of finite thickness: asymptotic analysis of the space-time Green function.
The asymptotic law for the radial distribution of radiance density from an isotropic point source placed in a slab of homogeneous absorbing and scattering material is obtained within the framework of diffusion theory. The exponential shape of the tail of the resulting Green function has been observed but was not theoretically explained until now. We derive formulas for both the steady-state and the time-dependent problems. The theoretical results are verified by comparison with Monte Carlo simulations.
Polonsky
Igor N
IN
Los Alamos National Laboratory, Space and Remote Sensing Sciences Group (ISR-2), Los Alamos, New Mexico 87545-0000, USA. polonsky@lanl.gov
Davis
Anthony B
AB
D003198:Computer Simulation; D008027:Light; D015233:Models, Statistical; D009391:Nephelometry and Turbidimetry / Q000379:methods*; D017785:Photons; D011829:Radiation Dosage; D011874:Radiometry / Q000379:methods*; D012542:Scattering, Radiation