Statistics – Computation
Scientific paper
Mar 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jqsrt..61..545l&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 61, issue 4, pp. 545-555
Statistics
Computation
5
Radiative Transfer: Numerical Methods, Radiative Transfer: Atmospheres
Scientific paper
The paper reports on the spherical harmonics method (MSH) for solving the radiative transfer problem in the vertically inhomogeneous atmosphere bounded by a non-Lambertian surface. The surface bi-directional reflectance function is assumed to be symmetrical with respect to the principal plane, otherwise it can be of an arbitrary shape and can include directional signatures as a hot spot effect or a secular reflection. The lower boundary conditions, taken in the form of Marshak (1947), are represented analytically on the basis of recurrent formulas obtained here. For calculating the angular structures of radiation fields, the new computationally efficient smoothing procedure is developed based on the correction function of MSH. It enables one to essentially reduce the order of MSH preserving the high accuracy of solution. In conjunction with the predominantly analytical way of solving the differential system of equations of MSH, this combination allows one to achieve exceptionally high speed of computations.
Lyapustin A. I.
Muldashev T. Z.
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