The Neumann solution of the multiple scattering problem in a plane-parallel medium—IIb. The resolvent function in a semi-infinite space

Author(s):  
B. Rutily ◽  
J. Bergeat
1972 ◽  
Vol 11 (63) ◽  
pp. 357-368 ◽  
Author(s):  
Bruce R. Barkstrom

AbstractMultiple scattering of the solar flux in snow and “bubbly” ice can account for the variable albedo, the non-specular reflection, the non-exponential flux decrease near the surface, and the large upward flux within the medium. The scattering problem has been formulated and solved exactly, assuming isotropic scattering in a plane-parallel, semi-infinite, grey medium. The solution shows a non-exponential flux decrease near the surface and an exponential decrease deep in the medium. For such a medium, the albedo will increase with decreasing solar altitude in a manner which agrees to within one per cent of observed snow albedos in the Antarctic.


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