The Scaling Group of the Radiative Transfer Equation
- 1 May 1981
- journal article
- Published by American Meteorological Society in Journal of the Atmospheric Sciences
- Vol. 38 (5) , 1063-1068
- https://doi.org/10.1175/1520-0469(1981)038<1063:tsgotr>2.0.co;2
Abstract
We show that the equation of radiative transfer is invariant under a group of simultaneous transformations of the scale (i.e., the optical thickness) and the phase function. In this way, we provide a unified explanation of various empirical scaling laws, similarity relations and other approximations (especially delta-function approximations) which have been proposed in the literature. Connections with critical-point behavior in statistical mechanics are also indicated.Keywords
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