Physics
Scientific paper
Oct 1969
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969rspsa.313..183g&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 313, Issue 1513, pp. 183-197
Physics
45
Scientific paper
This paper sets out a formal theory of radiative transfer in one-dimensional scattering media of arbitrary physical constitution. The theory is based on an extension of the treatment of Redheffer, in which the response of a layer of arbitrary thickness to fluxes incident on its boundaries is described by a certain linear operator. Juxtaposition of two such layers gives a third layer, whose operator can be related to those of its constituents by an operation designated as the star product. It is shown that this set of operators constitutes a semigroup under the star product, and that the infinitesimal generators of the semigroup can be computed in terms of the physical properties of the medium, point by point. This makes it possible to write equivalent discrete and differential equations from both of which transmission and reflexion operators, the emission due to internal sources, and the internal fluxes at prescribed levels in the medium can be obtained.
Grant Ian P.
Hunt Garry E.
No associations
LandOfFree
Discrete Space Theory of Radiative Transfer. I. Fundamentals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Discrete Space Theory of Radiative Transfer. I. Fundamentals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Space Theory of Radiative Transfer. I. Fundamentals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1373452