Physics – Optics
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jqsrt..16..725b&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 16, Sept. 1976, p. 725-739. NASA-supported research.
Physics
Optics
1
Anisotropic Media, Atmospheric Scattering, Finite Difference Theory, Scattering Functions, Atmospheric Optics, Diffuse Radiation, Radiative Transfer, Specular Reflection
Scientific paper
A new method of solving radiative transfer problems is described including a comparison of its speed with that of the doubling method, and a discussion of its accuracy and suitability for computations involving variable optical properties. The method uses a discretization in angle to produce a coupled set of first-order differential equations which are integrated between discrete depth points to produce a set of recursion relations for symmetric and anti-symmetric angular sums of the radiation field at alternate depth points. The formulation given here includes depth-dependent anisotropic scattering, absorption, and internal sources, and allows arbitrary combinations of specular and non-Lambertian diffuse reflection at either or both boundaries. Numerical tests of the method show that it can return accurate emergent intensities even for large optical depths. The method is also shown to conserve flux to machine accuracy in conservative atmospheres
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