Adjoint Klein-Nishina Sampling Methods: Efficiency, Speed and Applications

Robinson, Alex P.; Henderson, Douglass; Kersting, Luke; Moll, Eli

doi:10.1080/00295639.2021.1935103

Adjoint Klein-Nishina Sampling Methods: Efficiency, Speed and Applications

Journal Article · Mon Sep 13 04:00:00 EDT 2021 · Nuclear Science and Engineering

DOI:https://doi.org/10.1080/00295639.2021.1935103· OSTI ID:1820543

^[1]; Henderson, Douglass ^[2]; Kersting, Luke ^[3]; Moll, Eli ^[4]

Univ. of Wisconsin, Madison, WI (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Wisconsin, Madison, WI (United States)
Univ. of Wisconsin, Madison, WI (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Univ. of Wisconsin, Madison, WI (United States); Phoenix, Monona, WI (United States)

Three new rejection sampling methods for generating samples from the adjoint Klein-Nishina cross section are discussed: the two-branch rejection sampling procedure, the three-branch linear rejection sampling procedure and the three-branch inverse rejection sampling procedure. These methods have all been implemented in the Framework for REsearch in Nuclear ScIence and Engineering (FRENSIE). The efficiency and sample generation rate of each of these methods are evaluated to characterize the methods and to make recommendations regarding their use. The use of these methods in realistic transport simulations is also evaluated by incorporating a scattering function into the sampling process. Furthermore, the results of an infinite medium problem are presented to verify that the sampling procedure can be used in an adjoint Monte Carlo simulation to generate results that are in agreement with an equivalent forward simulation.

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1820543

Report Number(s):: LLNL-JRNL--820302; 1031249

Journal Information:: Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 1 Vol. 196; ISSN 0029-5639

Publisher:: Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

References (12)

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A Monte Carlo program for photon transport using analogue sampling of scattering angle in coherent and incoherent scattering processes Persliden, Jan Computer Programs in Biomedicine, Vol. 17, Issue 1-2 https://doi.org/10.1016/0010-468X(83)90032-6	journal	August 1983
Implementation of the reverse/adjoint Monte Carlo method into Geant4 Desorgher, L.; Lei, F.; Santin, G. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 621, Issue 1-3 https://doi.org/10.1016/j.nima.2010.06.001	journal	September 2010
AMOS – An effective tool for adjoint Monte Carlo photon transport Gabler, Dorothea; Henniger, Jürgen; Reichelt, Uwe Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 251, Issue 2 https://doi.org/10.1016/j.nimb.2006.07.005	journal	October 2006
SciPy 1.0: fundamental algorithms for scientific computing in Python Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E. Nature Methods https://doi.org/10.1038/s41592-019-0686-2	journal	February 2020
Atomic form factors, incoherent scattering functions, and photon scattering cross sections Hubbell, J. H.; Veigele, Wm. J.; Briggs, E. A. Journal of Physical and Chemical Reference Data, Vol. 4, Issue 3 https://doi.org/10.1063/1.555523	journal	July 1975
Validation and Verification of the Evaluated Electron Data Library in FRENSIE Kersting, Luke J.; Henderson, Douglass; Robinson, Alex Nuclear Science and Engineering, Vol. 193, Issue 4 https://doi.org/10.1080/00295639.2018.1525976	journal	November 2018
Single Scattering Adjoint Monte Carlo Electron Transport in FRENSIE Kersting, Luke J.; Robinson, Alex; Moll, Eli Nuclear Science and Engineering, Vol. 194, Issue 5 https://doi.org/10.1080/00295639.2019.1701344	journal	January 2020
Incoherent-x-ray-scattering functions and cross sections ( d σ d Ω ′ ) incoh by means of a pocket calculator Ribberfors, R.; Berggren, K. -F. Physical Review A, Vol. 26, Issue 6 https://doi.org/10.1103/PhysRevA.26.3325	journal	December 1982
Methodology of Continuous-Energy Adjoint Monte Carlo for Neutron, Photon, and Coupled Neutron-Photon Transport Hoogenboom, J. Eduard Nuclear Science and Engineering, Vol. 143, Issue 2 https://doi.org/10.13182/NSE03-A2322	journal	February 2003
Random Sampling from the Klein-Nishina Distribution: Efficiency, Parsimony, and Speed Mathews, Kirk Nuclear Science and Engineering, Vol. 173, Issue 3 https://doi.org/10.13182/NSE11-57	journal	March 2013
Direct Sampling from the Klein-Nishina Distribution for Photon Energies Above 1.4 MeV Koblinger, László Nuclear Science and Engineering, Vol. 56, Issue 2 https://doi.org/10.13182/NSE75-A26663	journal	February 1975

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Related Subjects

97 MATHEMATICS AND COMPUTING
Adjoint
Klein-Nishina
Monte Carlo
rejection sampling

Adjoint Klein-Nishina Sampling Methods: Efficiency, Speed and Applications

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