Monte Carlo calculation of large and small-angle electron scattering in air

Cohen, B. I.; Higginson, D. P.; Eng, C. D.; Farmer, W. A.; Friedman, A.; Grote, D. P.; Larson, D. J.

doi:10.1016/j.jcp.2017.08.014

Title: Monte Carlo calculation of large and small-angle electron scattering in air

Abstract

A Monte Carlo method for angle scattering of electrons in air that accommodates the small-angle multiple scattering and larger-angle single scattering limits is introduced. In this work, the algorithm is designed for use in a particle-in-cell simulation of electron transport and electromagnetic wave effects in air. The method is illustrated in example calculations.

Authors:

Cohen, B. I. ^[1]; Higginson, D. P. ^[1]; Eng, C. D. ^[1]; Farmer, W. A. ^[1]; Friedman, A. ^[1]; Grote, D. P. ^[1];

^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Sat Aug 12 00:00:00 EDT 2017

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1393328

Alternate Identifier(s):: OSTI ID: 1549827

Report Number(s):: LLNL-JRNL-716803
Journal ID: ISSN 0021-9991; PII: S0021999117305855

Grant/Contract Number:: AC52-07NA27344; 15-ERD-065; 15-ERD-066

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Volume: 349; Journal Issue: C; Journal ID: ISSN 0021-9991

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Monte Carlo methods; Electron collisions; Large-angle scattering

Citation Formats


                    Cohen, B. I., Higginson, D. P., Eng, C. D., Farmer, W. A., Friedman, A., Grote, D. P., and Larson, D. J. Monte Carlo calculation of large and small-angle electron scattering in air.  United States: N. p., 2017. 
Web.  doi:10.1016/j.jcp.2017.08.014.

Copy to clipboard


                    Cohen, B. I., Higginson, D. P., Eng, C. D., Farmer, W. A., Friedman, A., Grote, D. P., & Larson, D. J. Monte Carlo calculation of large and small-angle electron scattering in air.  United States.  https://doi.org/10.1016/j.jcp.2017.08.014

Copy to clipboard


                    Cohen, B. I., Higginson, D. P., Eng, C. D., Farmer, W. A., Friedman, A., Grote, D. P., and Larson, D. J. Sat .  
"Monte Carlo calculation of large and small-angle electron scattering in air".  United States.  https://doi.org/10.1016/j.jcp.2017.08.014.  https://www.osti.gov/servlets/purl/1393328.

Copy to clipboard


                    
@article{osti_1393328,

  title        = {Monte Carlo calculation of large and small-angle electron scattering in air},

  author       = {Cohen, B. I. and Higginson, D. P. and Eng, C. D. and Farmer, W. A. and Friedman, A. and Grote, D. P. and Larson, D. J.},

  abstractNote = {A Monte Carlo method for angle scattering of electrons in air that accommodates the small-angle multiple scattering and larger-angle single scattering limits is introduced. In this work, the algorithm is designed for use in a particle-in-cell simulation of electron transport and electromagnetic wave effects in air. The method is illustrated in example calculations.},

  doi          = {10.1016/j.jcp.2017.08.014},

  journal      = {Journal of Computational Physics},

  number       = C,

  volume       = 349,

  place        = {United States},

  year         = {Sat Aug 12 00:00:00 EDT 2017},

  month        = {Sat Aug 12 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1016/j.jcp.2017.08.014

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 1 work

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas
journal, November 2017

Higginson, Drew P.
Journal of Computational Physics, Vol. 349
DOI: 10.1016/j.jcp.2017.08.016

Multiple Scattering of Electrons
journal, January 1940

Goudsmit, S.; Saunderson, J. L.
Physical Review, Vol. 57, Issue 1
DOI: 10.1103/PhysRev.57.24

Multiple Scattering of Electrons. II
journal, July 1940

Goudsmit, S.; Saunderson, J. L.
Physical Review, Vol. 58, Issue 1
DOI: 10.1103/PhysRev.58.36

Theorie der Streuung schneller geladener Teilchen I. Einzelstreuung am abgeschirmten Coulomb-Feld
journal, March 1947

Moliere, Gert
Zeitschrift für Naturforschung A, Vol. 2, Issue 3
DOI: 10.1515/zna-1947-0302

Theory of fast electron transport for fast ignition
journal, April 2014

Robinson, A. P. L.; Strozzi, D. J.; Davies, J. R.
Nuclear Fusion, Vol. 54, Issue 5
DOI: 10.1088/0029-5515/54/5/054003

Time-Step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas
journal, September 2010

Cohen, Bruce I.; Dimits, Andris M.; Friedman, Alex
IEEE Transactions on Plasma Science, Vol. 38, Issue 9
DOI: 10.1109/TPS.2010.2049589

Measurement of Multiple Scattering of 15.7-Mev Electrons
journal, November 1951

Hanson, A. O.; Lanzl, L. H.; Lyman, E. M.
Physical Review, Vol. 84, Issue 4
DOI: 10.1103/PhysRev.84.634

Similar Records in DOE PAGES and OSTI.GOV collections:

Monte Carlo calculation of large and small-angle electron scattering in air

Journal Article Cohen, B.I., E-mail: cohen1@llnl.gov ; Higginson, D. P. ; Eng, C. D. ; ... - Journal of Computational Physics

A Monte Carlo method for angle scattering of electrons in air that accommodates the small-angle multiple scattering and larger-angle single scattering limits is introduced. The algorithm is designed for use in a particle-in-cell simulation of electron transport and electromagnetic wave effects in air. The method is illustrated in example calculations.
https://doi.org/10.1016/J.JCP.2017.08.014
A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas [Theory of cumulative large-angle collisions in plasmas]

Journal Article Higginson, Drew P. - Journal of Computational Physics

Here, we describe and justify a full-angle scattering (FAS) method to faithfully reproduce the accumulated differential angular Rutherford scattering probability distribution function (pdf) of particles in a plasma. The FAS method splits the scattering events into two regions. At small angles it is described by cumulative scattering events resulting, via the central limit theorem, in a Gaussian-like pdf; at larger angles it is described by single-event scatters and retains a pdf that follows the form of the Rutherford differential cross-section. The FAS method is verified using discrete Monte-Carlo scattering simulations run at small timesteps to include each individual scattering event.more »« less
Cited by 9
https://doi.org/10.1016/j.jcp.2017.08.016

Full Text Available
Multiphoton Monte Carlo event generator for Bhabha scattering at small angles

Journal Article Jadach, S ; Ward, B F.L. - Physical Review (Section) D: Particles and Fields; (USA)

We describe in this paper the application of the theory of Yennie, Frautschi, and Suura (YFS) to construct a Monte Carlo (MC) event generator with multiple-photon production for Bhabha scattering at low angles. The respective generator provides the four-momenta of the electron and positron and of all soft and hard photons with a proper treatment of the phase space and conservation of the total four-momentum. The final-state electron and positron are assumed to be visible above some minimum angle with respect to the beams (double tag). The QED matrix element in the algorithm is taken according to the YFS exponentiationmore »« less
https://doi.org/10.1103/PhysRevD.40.3582
Monte Carlo simulations of small-angle elastic scattering events

Journal Article Vos, M ; Went, M - Physical Review. B, Condensed Matter and Materials Physics

Quantitative interpretation of electron spectroscopy is almost always dependent on the understanding of multiple scattering effects. Monte Carlo simulations are often used to model multiple scattering effects, as this method provides for a conceptually simple framework for incorporating both elastic and inelastic scattering processes. In this paper, we demonstrate that when small-angle deflections are important, diffraction effects become significant, and straightforward Monte Carlo simulations are not expected to be valid. However, a simple modification to the Monte Carlo procedure is presented that uses cluster-derived elastic scattering cross sections rather than those derived from isolated atoms. In this way we canmore »« less
https://doi.org/10.1103/PHYSREVB.72.2
Monte Carlo Electron Dose Calculations Using Discrete Scattering Angles and Discrete Energy Losses

Journal Article Franke, Brian C ; Prinja, Anil K - Nuclear Science and Engineering

We present a computationally efficient single event Monte Carlo approach for calculating dose from electrons. Analog elastic scattering and inelastic energy-loss differential cross sections for electrons are converted into corresponding discrete cross sections that are constrained to exactly preserve low-order moments of the analog cross sections. While the method has been implemented and tested for the Rutherford model for scattering and energy loss, its dependence solely on cross-section moments makes our approach arbitrarily general.By comparison with analog Monte Carlo calculations, we demonstrate that few discrete angles and energies are required to achieve accurate dose distributions, and the calculations are fast.more »« less

Similar Records

Title: Monte Carlo calculation of large and small-angle electron scattering in air

Abstract

Citation Formats

A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas journal, November 2017

Multiple Scattering of Electrons journal, January 1940

Multiple Scattering of Electrons. II journal, July 1940

Theorie der Streuung schneller geladener Teilchen I. Einzelstreuung am abgeschirmten Coulomb-Feld journal, March 1947

Theory of fast electron transport for fast ignition journal, April 2014

Time-Step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas journal, September 2010

Measurement of Multiple Scattering of 15.7-Mev Electrons journal, November 1951

A full-angle Monte-Carlo scattering technique including cumulative and single-event Rutherford scattering in plasmas
journal, November 2017

Multiple Scattering of Electrons
journal, January 1940

Multiple Scattering of Electrons. II
journal, July 1940

Theorie der Streuung schneller geladener Teilchen I. Einzelstreuung am abgeschirmten Coulomb-Feld
journal, March 1947

Theory of fast electron transport for fast ignition
journal, April 2014

Time-Step Considerations in Particle Simulation Algorithms for Coulomb Collisions in Plasmas
journal, September 2010

Measurement of Multiple Scattering of 15.7-Mev Electrons
journal, November 1951