Mathematics – Probability
Scientific paper
Sep 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jqsrt..15..749c&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 15, Sept. 1975, p. 749-760. NASA-supported research.
Mathematics
Probability
1
Green'S Functions, Radiative Transfer, Reciprocal Theorems, Illumination, Integral Equations, Invariant Imbeddings, Point Sources, Probability Theory
Scientific paper
A Green's function formulation is used to derive basic reciprocity relations for planar radiative transfer in a general medium with internal illumination. Reciprocity (or functional symmetry) allows an explicit and generalized development of the equivalence between source and probability functions. Assuming similar symmetry in three-dimensional space, a general relationship is derived between planar-source intensity and point-source total directional energy. These quantities are expressed in terms of standard (universal) functions associated with the planar medium, while all results are derived from the differential equation of radiative transfer.
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