Mathematics – Probability
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jqsrt..46..165p&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 46, Sept. 1991, p. 165-169.
Mathematics
Probability
Atmospheric Effects, Isotropic Turbulence, Probability Density Functions, Radiative Heat Transfer, Computerized Simulation, Monte Carlo Method, Sobolev Space
Scientific paper
Radiative transfer in an atmosphere with a velocity gradient is generally treated under the assumption of complete redistribution. Using Monte Carlo techniques we explore the consequences of relaxing this condition within the Sobolev approximation that the velocity gradient is sufficiently large. Two cases of coherent scattering are considered, namely coherence in the atomic frame and coherence in the fluid frame. It is found by computer simulation that coherence in the atomic frame yields escape probabilities almost identical to complete redistribution, whereas coherence in the fluid frame doubles the rate at large optical depths. It is shown that the results are independent of the phase factor for scattering.
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