Radiative transfer in inhomogeneous atmospheres - A statistical approach

Details Radiative transfer in inhomogeneous atmospheres - A statistical approach Radiative transfer in inhomogeneous atmospheres - A statistical approach

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...335..372j&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 335, Dec. 1, 1988, p. 372-382.

Statistics

Computation

17

Atmospheric Composition, Radiative Transfer, Statistical Analysis, Stellar Atmospheres, Stellar Radiation, Atmospheric Models, Computational Astrophysics, Gas Mixtures, Solar Atmosphere, Very Large Array (Vla)

Scientific paper

A procedure is presented for calculating the statistical properties of the radiation which emerges from a multicomponent gas when the absorption and emission coefficients vary statistically along the direction of propagation. A relation describing the evolution of the intensity distribution through the gas is derived, and, from that, a transfer equation for the expected value of the intensity is obtained which is analogous to the standard transfer equation for a continuous medium and to which it reduces in the limit of a homogeneous medium. General solutions for this transfer equation, and the analogous transfer equation for the variance, are found for a special class of situations. As a representative example, consideration is given to the transfer of radiation through a spherical atmosphere consisting of radial structures, with an exponential height distribution, which are immersed according to a given probability distribution in an ambium, itself inhomogeneous, whose properties also vary with height.

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