Diffuse Reflection and Transmission by a Very Thick Plane-Parallel Atmosphere with Isotropic Scattering
Abstract
Radiation from arbitrary directions incident on a thick, homogeneous, conservative atmosphere with isotropic scattering is mostly diffusely reflected. A smaller part diffuses through the atmosphere and emerges at the other side. Sobolev's equations, which give the asymptotic forms of the reflection and transmission functions for large thickness, b, in terms of the function H(μ) known from the theory of semi-infinite atmospheres, are newly derived. It is shown by two examples that knowledge of these asymptotic forms makes it possible accurately to interpolate any quantity dependent on bbetweenb = 1 and b = ∞.
- Publication:
-
Icarus
- Pub Date:
- November 1964
- DOI:
- 10.1016/0019-1035(64)90043-0
- Bibcode:
- 1964Icar....3..336V