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Electron dose calculation using multiple‐scattering theory: Second‐order multiple‐scattering theory
Author(s) -
Jette David,
Bielajew Alex
Publication year - 1989
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.596329
Subject(s) - scattering , scattering theory , monte carlo method , fast fourier transform , physics , fourier transform , mathematics , fourier series , computational physics , statistical physics , mathematical analysis , quantum mechanics , algorithm , statistics
This article is part of a series on the calculation of electron dose using multiple‐scattering theory. It presents systematically the second‐order multiple‐scattering theory which is a generalization of the (first‐order) Fermi–Eyges theory, outlining its derivation and giving explicit formulas for its defining functions. The predictions of the Fermi–Eyges theory and of the second‐order theory are compared with modified Monte Carlo calculations, demonstrating the increased accuracy of the latter multiple‐scattering theory. We derive and compare broad‐beam angular distributions for the two theories, and note the effect of large‐angle scattering upon dose profiles. Finally, we present the second‐order theory in Fourier‐transformed space, which is appropriate to a high‐speed dose‐calculation algorithm using the fast Fourier transform (FFT) technique.