Recalculation of the Isotropic H Functions

Details Recalculation of the Isotropic H Functions Recalculation of the Isotropic H Functions

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994icar..109..313h&link_type=abstract

Icarus, Volume 109, Issue 2, p. 313-317.

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Scientific paper

The isotropic H functions defined in radiative transfer theory by Chandrasekhar (Radiative Transfer, Dover, New York, 1960) have been numerically recalculated for a larger number of single scattering albedo (w) values. The obtained H functions should be accurate to five decimal places at least. The H function values become highly nonlinear as w approaches 1, where calculations were performed with many more points than in Chandrasekhar (1960). A simple linear interpolation of Chandrasekhar's H function table could result in as much as 8% error in the H function values and 16% in the H2 values that appear in multiple scattering terms such as in Hapke (J. Geophys. Res. 86, 3039-3054, 1981). On the other hand, Hapke's approximations (J. Geophys. Res. 86, 3039-3054, 1981; Theory of Reflectance and Emittance Spectroscopy, Cambridge Univ. Press, New York, 1993) give H values within 4.1% and 0.8% error, respectively.

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