On the representation of electron multiple elastic-scattering distributions for Monte Carlo calculations

Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

Volumn 134, Issue 3-4, 1998, Pages 325-336

  Kawrakow, Iwan ^a   Bielajew, Alex F ^a,b  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Condensed history; Coulomb scattering; Elastic scattering; Monte Carlo simulation; Multiple scattering

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; INTERPOLATION; MATHEMATICAL TRANSFORMATIONS; MONTE CARLO METHODS;

COULOMB SCATTERING; ELASTIC SCATTERING; MOLIERE SCREENING; MULTIPLE SCATTERING; SCATTERING CROSS SECTIONS;

ELECTRON SCATTERING;

EID: 0032024859     PISSN: 0168583X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-583X(97)00723-4     Document Type: Article

References (25)

1. M.J. Berger, Monte Carlo calculation of the penetration and diffusion of fast charged particles, in: B. Alder, S. Fernbach, M. Rotenberg (Eds.), Methods in Comput. Phys., vol. 1, Academic Press, New York, 1963, pp. 135-215.
2. S.A. Goudsmit, J.L. Saunderson, Phys. Rev. 57 (1940) 24-29.
3. S.A. Goudsmit, J.L. Saunderson, Phys. Rev. 58 (1940) 36-42.
4. D.W.O. Rogers, A.F. Bielajew, Monte Carlo techniques of electron and photon transport for radiation dosimetry, in: K. Kase, B. Bjärngard, F. Attix (Eds.), The Dosimetry of Ionizing Radiation, vol. III, Academic Press, New York, 1990, pp. 427-539.
5. G.Z. Molière, Z. Naturf. 3a (1948) 78-97.
6. A.F. Bielajew, Nucl. Instr. and Meth. B 86 (1994) 257-269.
7. H.A. Bethe, Phys. Rev. 89 (1953) 1256-1266.
8. P. Andreo, J. Medin, A.F. Bielajew, Med. Phys. 20 (1993) 1315-1325.
9. A.F. Bielajew, Nucl. Inst. and Meth. B 111 (1996) 195-208.
10. M.J. Berger, R. Wang, Multiple-scattering angular deflections and energy-loss straggling, in: T. Jenkins, W. Nelson, A. Rindi, A. Nahum, D. Rogers (Eds.), Monte Carlo Transport of Electrons and Photons, Plenum Press, New York, 1989, pp. 21-56.
11. G.Z. Molière, Z. Naturf. 2a (1947) 133-145.
12. N.F. Mott, Proc. Roy. Soc. London A 124 (1929) 425.
13. N.F. Mott, Proc. Roy. Soc. London A 135 (1932) 429.
14. S.T. Perkins, D.E. Cullen, S.M. Seltzer, Tables and Graphs of Electron-interaction Cross Sections from 10 eV to 100 GeV Derived from the LLNL Evaluated Electron Data Library (EEDL), Z = 1-100, Lawrence Livermore National Laboratory Report UCRL-50400, vol. 31, Livermore, CA (1991).
15. W. Bothe, Z. Phys. 5 (1921) 63-69.
16. G. Wentzel, Ann. Phys. 69 (1922) 335-368.
17. K.B. Winterbon, Nucl. Instr. and Meth. B 21 (1987) 1-7.
18. I. Kawrakow, Nucl. Instr. and Meth. B 108 (1996) 23-34.
19. M. Abramowitz, I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulae, Graphs and Mathematical Tables, Number 55 in Applied Mathematics, National Bureau of Standards, Washington, DC, 1964.
20. H.W. Lewis, Phys. Rev. 78 (1950) 526-529.
21. A.F. Bielajew, D.W.O. Rogers, PRESTA: The parameter reduced electron-step transport algorithm for electron Monte Carlo transport, National Research Council of Canada Report PIRS-0042 (1986).
22. A.F. Bielajew, D.W.O. Rogers, Nucl. Instr. and Meth. B 18 (1987) 165-181.
23. S.M. Seltzer, Internat. J. Appl. Radiation and Isotopes 42 (1991) 917-941.
24. L.V. Spencer, Phys. Rev. 98 (1955) 1597-1615.
25. S. Wolfram, Mathematica: A System for Doing Mathematics by Computer, Addison-Wesley, Redwood City, CA, 1991.