Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....68..239h&link_type=abstract
Astronomy and Astrophysics, vol. 68, no. 1-2, Aug. 1978, p. 239-250.
Astronomy and Astrophysics
Astrophysics
5
Atmospheric Attenuation, Light Transmission, Planetary Atmospheres, Reflected Waves, Atmospheric Models, Light Scattering, Luminous Intensity, Mathematical Models, Optical Thickness
Scientific paper
The standard problem of radiative transfer in a homogeneous plane-parallel atmosphere of finite optical thickness is reduced to a problem of finding one function, viz., the exit function, on the basis of symmetry considerations. An integral equation is obtained which must always be obeyed by the exit function. Analytical solutions are determined in terms of functions of one variable for the cases of isotropic and anisotropic scattering. Specific examples of exit functions are examined for isotropic scattering in a slab of uniform optical thickness as well as for conservative isotropic scattering in atmospheres of finite and infinite optical thickness. It is shown that much of the complexity in well-known results for slabs of finite thickness is unnecessary and due only to redundancy of functions and equations.
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