Computer Science – Numerical Analysis
Scientific paper
Jan 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jqsrt..15...61k&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 15, Jan. 1975, p. 61-85.
Computer Science
Numerical Analysis
Haze, Mie Scattering, Optical Thickness, Radiance, Radiative Transfer, Albedo, Asymptotic Methods, Boundary Value Problems, Matrices (Mathematics), Numerical Analysis, Operators (Mathematics), Particle Size Distribution, Rayleigh Scattering, Runge-Kutta Method, Tables (Data)
Scientific paper
The interior radiances are calculated within an optically deep absorbing medium scattering according to the Haze L phase function. The dependence on the solar zenith angle, the single scattering albedo, and the optical depth within the medium is calculated by the matrix operator method. The development of the asymptotic angular distribution of the radiance in the diffusion region is illustrated through a number of examples; it depends only on the single scattering albedo and on the phase function for single scattering. The exact values of the radiance in the diffusion region are compared with values calculated from the approximate equations proposed by Van de Hulst. The variation of the radiance near the lower boundary of an optically thick medium is illustrated with examples. The attenuation length is calculated for various single scattering albedos and compared with the corresponding values for Rayleigh scattering. The ratio of the upward to the downward flux is found to be remarkably constant within the medium.
Kattawar George W.
Plass Gilbert N.
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