Jette D
Institute of Applied Physiology and Medicine, Seattle, Washington 98122.
Med Phys. 1988 Mar-Apr;15(2):123-37. doi: 10.1118/1.596166.
This article is the first in a series on the calculation of electron dose using multiple-scattering theory. In it we develop a unified theory, which we term Gaussian multiple-scattering theory, starting from a number of contributions already in the literature: the Fermi-Eyges multiple-scattering theory, the Yang path length distribution, the second-order multiple-scattering theory of Jette [Med. Phys. 12, 178 (1985)], and the diffusion theory of Bethe et al. [Proc. Am. Philos. Soc. 78, 573 (1938)]. After examining in detail the ramifications and limitations of Gaussian multiple-scattering theory, we derive basic formulas generalizing the Fermi-Eyges theory, for use in subsequent articles. We also find explicit, accurate expressions for incorporating the scattering power into the theory.
本文是关于使用多重散射理论计算电子剂量系列文章的第一篇。在此，我们从文献中已有的一些贡献出发，发展出一种统一理论，我们称之为高斯多重散射理论，这些贡献包括：费米 - 艾格斯多重散射理论、杨路径长度分布、杰特的二阶多重散射理论[《医学物理》12, 178 (1985)]以及贝特等人的扩散理论[《美国哲学学会会报》78, 573 (1938)]。在详细研究了高斯多重散射理论的影响和局限性之后，我们推导出了推广费米 - 艾格斯理论的基本公式，以供后续文章使用。我们还找到了将散射能力纳入该理论的明确、精确表达式。
