Analytical Green's function of the radiative transfer radiance for the infinite medium

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.83.036605· OSTI ID:21560088

Liemert, Andre; Kienle, Alwin ^[1]

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1. Institut fuer Lasertechnologien in der Medizin und Messtechnik, Helmholtzstrasse12, D-89081 Ulm (Germany)

An analytical solution of the radiative transfer equation for the radiance caused by an isotropic source which is located in an infinitely extended medium was derived using the P{sub N} method. The results were compared with Monte Carlo simulations and excellent agreement was found. In addition, the radiance of the SP{sub N} approximation for the same geometry was derived. Comparison with Monte Carlo simulations showed that the SP{sub N} radiance, although being more exact than the radiance derived from diffusion theory, has relatively large errors in many relevant cases.

• OSTI ID: 21560088
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevE.83.036605; (c) 2011 American Institute of Physics; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
22 GENERAL STUDIES OF NUCLEAR REACTORS
ANALYTICAL SOLUTION
APPROXIMATIONS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
DIFFUSION EQUATIONS
ERRORS
GEOMETRY
GREEN FUNCTION
MONTE CARLO METHOD
RADIANT HEAT TRANSFER
SPHERICAL HARMONICS METHOD
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
EVALUATION
FUNCTIONS
HEAT TRANSFER
MATHEMATICAL SOLUTIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION