Mathematics – Probability
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jqsrt..53...23b&link_type=abstract
Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 53, no. 1, p. 23-38
Mathematics
Probability
2
Algorithms, Atmospheric Scattering, Interpolation, Legendre Functions, Monte Carlo Method, Photons, Phase Error, Scatter Propagation, Statistical Analysis
Scientific paper
This paper describes an efficient Monte Carlo algorithm for choosing a new direction of a photon after a scattering interaction. The algorithm chooses a scattering angle by linear interpolation in a table of the inverse cumulative scattering probability. A Legendre expansion of the phase function makes it easy to apply Clenshaw's algorithm to build the interpolation table. The points in the table are close enough together that linear interpolation is accurate. With a table of 100,000 entries, we can keep the absolute and relative errors in matching the probability distribution below 10(exp -5).
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