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

Authors

• Kirk A. Mathews, Air Force Institute of Technology

Document Type

Article

Publication Date

3-2013

Abstract

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.

Comments

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Nuclear Science and Engineering is published by Taylor and Francis on behalf of the American Nuclear Society.

DOI

10.13182/NSE11-57

Source Publication

Nuclear Science and Engineering (ISSN 0029-5639 | eISSN 1943-748X)

Recommended Citation

Mathews, K. (2013). Random Sampling from the Klein-Nishina Distribution: Efficiency, Parsimony, and Speed. Nuclear Science and Engineering, 173(3), 207–221. https://doi.org/10.13182/NSE11-57