Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1973
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973ap%26ss..23..205u&link_type=abstract
Astrophysics and Space Science, Volume 23, Issue 1, pp.205-219
Astronomy and Astrophysics
Astrophysics
6
Scientific paper
In the present paper, with the aid of invariance principles in connection with the scattering matrix, we get the exact solution of diffuse reflection and transmission problems by finite inhomogeneous, anisotropically scattering atmospheres bounded by reflecting sufaces. On making use of the reflection and transmission integral operators, we show how to obtain the non-linear integro-differential equations for these operators, which do not depend on the initial condition. Then, we have a system of the required integro-differential equations for the scattering and transmission functions. The obtained result is new, so far as we know. Finally, using the scattering matrix, we reduce the diffuse reflection and transmission problems for planetary atmospheres with reflecting surfaces to the standard diffuse reflection and transmission problems.
Ueno Sueo
Wang Alan P.
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