Physics – Optics
Scientific paper
May 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..69..189k&link_type=abstract
Astrophysics and Space Science, vol. 69, no. 1, May 1980, p. 189-216.
Physics
Optics
3
Atmospheric Optics, Atmospheric Scattering, Light Scattering, Numerical Analysis, Planetary Atmospheres, Scattering Functions, Transfer Functions, Isotropism, Iterative Solution, Linear Equations, Optical Thickness, Rayleigh Scattering, Singularity (Mathematics)
Scientific paper
A technique of deriving Hovenier's exit function equation (1978) for multiple scattering, starting with a set of invariant imbedding equations, is presented. The feasibility of the exit function equation as a means to obtain reflection and transmission functions is investigated for isotropic, Rayleigh, and Henyey-Greenstein phase functions with emphasis on the numerical stability, accuracy and timing. It is possible to compute the reflection function rather accurately with an efficiency comparable to that of the standard doubling technique for the same phase functions with moderate anisotropy. The resulting transmission is slightly less accurate than the reflection function, but it may be acceptable for practical purposes.
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