Analytical solution of the radiative transfer equation for infinite-space fluence

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.015804· OSTI ID:21537083

Liemert, Andre; Kienle, Alwin ^[1]

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1. Institut fuer Lasertechnologien in der Medizin und Messtechnik, Helmholtzstrasse 12, D-89081 Ulm (Germany)

This Brief Report presents the derivation of analytical expressions for the fluence of the steady state radiative transfer equation in an infinitely extended and anisotropically scattering medium in arbitrary dimensions for different source types. The fluence, which is composed of an infinite sum of diffusion-like Green's functions, was compared to the Monte Carlo method. Within the stochastic nature of the Monte Carlo simulations, an exact agreement was found in the steady state and time domains. It is shown that the use of low-order approximations is sufficient for many relevant cases.

• OSTI ID: 21537083
• Journal Information: Physical Review. A, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevA.83.015804; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
APPROXIMATIONS
COMPUTERIZED SIMULATION
DIFFUSION
GREEN FUNCTION
MONTE CARLO METHOD
RADIANT HEAT TRANSFER
SCATTERING
STEADY-STATE CONDITIONS
STOCHASTIC PROCESSES
CALCULATION METHODS
ENERGY TRANSFER
FUNCTIONS
HEAT TRANSFER
MATHEMATICAL SOLUTIONS
SIMULATION