Statistics – Computation
Scientific paper
Oct 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jqsrt..60..573o&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 60, issue 4, pp. 573-583
Statistics
Computation
4
Radiative Transfer: Numerical Methods
Scientific paper
A computationally efficient, adaptive algorithm is described for Monte Carlo integration of the radiative transfer equation (RTE) in a scattering medium with partially reflecting boundary. The algorithm is formulated in a general setting with stochastic reflecting boundary, and the particular case of solar illumination of a rough sea surface is used to illustrate the general result. The algorithm represents the solution of the RTE as a multiple scattering series, involving both internal scattering and reflection at the boundary. The series is doubly infinite, and efficient integration of the RTE requires that the dominant terms be identified a priori. This is achieved through the development of a recursive algorithm to assign a priori weights to the terms of the multiple scattering series. The weights allow the terms to be summed in order of importance, thereby guaranteeing rapid convergence.
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