Numerical solution of Bloch's equation for neutron spin precession

P. A. Seeger, L. L. Daemen

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The increasing importance of polarization in neutron scattering instrumentation for condensed matter research means that Monte Carlo design tools must be able to track neutron spin during neutron transport. In particular, we must be able to solve Bloch's precession equation for arbitrary magnetic induction configurations, including time-dependence. Since Monte Carlo simulations require averaging a large number of neutron histories, the computational procedure must be fast, as well as accurate and precise. A suitable algorithm is presented here, in the context of the Neutron Instrument Simulation Package (NISP), a Monte Carlo package developed at Los Alamos National Laboratory for neutron scattering instrument design. Accuracy is assessed by the comparison to simple cases for which analytical expressions are known, and precision and execution time are shown for a case with a non-uniform magnetic induction field.

Original languageEnglish
Pages (from-to)338-346
Number of pages9
JournalNuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume457
Issue number1-2
DOIs
StatePublished - Jan 11 2001
Externally publishedYes

Funding

We would like to thank Trefor Roberts of the Institut Laue-Langevin for many useful suggestions, especially the analytic comparisons. This work was supported in part by the Manuel Lujan Jr. Neutron Scattering Center, a national user facility funded by the United States Department of Energy, Office of Basic Energy Sciences−Materials Science, under Contract No. W-7405-ENG-36 with the University of California.

FundersFunder number
Office of Basic Energy Sciences−Materials Science
United States Department of Energy

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