Extensions to the classical calculation of the effect of mutual shadowing in diffuse reflection

Details Extensions to the classical calculation of the effect of mutual shadowing in diffuse reflection Extensions to the classical calculation of the effect of mutual shadowing in diffuse reflection

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979icar...39...69e&link_type=abstract

Icarus, vol. 39, July 1979, p. 69-80.

Computer Science

6

Diffuse Radiation, Light Scattering, Optical Reflection, Saturn Rings, Shadows, Backscattering, Forward Scattering, Radiative Transfer, Ring Structures

Scientific paper

The classical method for accounting for the mutual shadowing among closely packed particles in multiple scattering calculations is extended in the following ways. (1) By modeling the particle distribution by a Poisson process with a varying density parameter, a 'Van der Waals' type approximation allows extension to a greater fractional volume density, D. In this case it is only required that D squared be much less than 1 instead of D being much less than 1. (2) In the case that the particle distribution is not uniform the classical calculation may be weighted by the pair correlation function of the distribution. (3) The use of the Markov chain formalism for radiative transfer allows inclusion of the effect of shadowing for two orders of scattering. For conditions such as might apply in Saturn's rings, the inclusion of this effect makes less than a 0.1% difference in the calculated phase curves, compared to previous calculations which have included shadowing only in the first scattering. The latter are thus shown to be quite accurate.

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