Physics
Scientific paper
May 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jqsrt..39..283d&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 39, issue 4, pp. 283-286
Physics
11
Radiative Transfer:Scattering, Scattering:Radiative Transfer
Scientific paper
Assuming the characteristic equation to have at least one pair of roots, the author has shown that any of Chandrasekhar's H-functions can be related to a set of equivalent H-functions obeying a nonlinear integral equation of the same form, with characteristic function and constraints appropriately modified. The equivalence transformation includes at least one free parameter and changes also the effective single-scattering albedo. In particular, any conservative H-function can be reduced to an equivalent nonconservative pseudo-H-function. The equivalence property has been applied to obtain extremely rapidly convergent iterative solutions of the nonlinear integral equations for H-functions. In addition, an approximate analytical formula has been derived, which reproduces the H-functions for isotropic scattering for any single scattering albedo ω ɛ [0,1] in the range μ ɛ [0,1] with an accuracy better than 1%.
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