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Home / Publications / Journals / Nuclear Science and Engineering / Volume 173 / Number 3

Random Sampling from the Klein-Nishina Distribution: Efficiency, Parsimony, and Speed

Kirk Mathews

Nuclear Science and Engineering / Volume 173 / Number 3 / March 2013 / Pages 207-221

Technical Paper /

Many Monte Carlo photon transport codes draw samples of the scattering cosine, and corresponding energy loss, for Compton scatter from the Klein-Nishina differential scattering cross section. We present new schemes for sampling by rejection that offer advantages in run time, parsimony in use of random numbers, and/or acceptance efficiency. These are compared with Kahn's method, which was recommended by Lux and Koblinger in 1991. We conclude with recommendations for both algorithmic and table-based approaches.

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