Electron dose calculation using multiple-scattering theory: second-order multiple-scattering theory.
Electron dose calculation using multiple-scattering theory: second-order multiple-scattering theory.
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DOI：
10.1118/1.596329
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发表时间：
1989-09
期刊：
影响因子：
3.8
通讯作者：
D. Jette;A. Bielajew
中科院分区：
文献类型：
--
作者：
D. Jette;A. Bielajew
本文是利用多重散射理论计算电子剂量系列文章的一部分。系统地介绍了由一阶费米-埃格斯理论推广而来的二阶多重散射理论，概述了二阶多重散射理论的推导过程，给出了二阶多重散射理论定义函数的显式公式。将费米-埃格斯理论和二阶理论的预测结果与修正后的蒙特卡罗计算结果进行了比较，证明了后者的多重散射理论的准确性有所提高。我们推导并比较了两种理论的宽光束角分布，并注意到大角散射对剂量分布的影响。最后，我们提出了傅里叶变换空间中的二阶理论，它适用于使用快速傅里叶变换（FFT）技术的高速剂量计算算法。
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.