发表机构
Eindhoven University of Technology（埃因霍温理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种半解析模型，通过Hankel变换求解适配Bethe输运方程，在20-100 keV能量范围内优于Kawrakow模型，可模拟角度分布束流及能量损失影响。
AI 中文摘要
本文提出了一种新的半解析模型，用于箔中电子散射，适用于薄箔和电子束动能高达约100 keV，以及无量纲箔厚度为20时从20 keV起，对于更薄的箔则适用于更高能量。为进行计算，通过对适配的Bethe输运方程进行Hankel变换，构造了近似解。在Bethe输运方程中使用了Wentzel微分截面，所得积分被解析求解或近似处理。这些输运方程的近似解与金中无量纲厚度λ=5,10,20的薄样品的Goudsmit-Saunderson解进行了比较。我们还与使用小角近似的Kawrakow模型进行了比较。我们表明，在20至100 keV束能量范围内，我们的模型优于Kawrakow模型，而在约100 keV以上则相反。确切地说，我们的模型可以模拟一些角度分布的束流以及束流能量损失的影响。
英文摘要
A new semi-analytical model for electron scattering in foils is presented valid for thin foils and electron-beam kinetic energies up to roughly $100$ keV and from 20 keV at a dimensionless foil thickness of $20$, and higher energies for thinner foils. To perform calculations, an approximate solution is constructed by Hankel transforms of an adapted Bethe transport equation for electron scattering. The Wentzel differential cross section is used in the Bethe transport Eq. and resulting integrals are solved analytically or approximated. These approximate solutions of the transport Eq.'s were compared to the Goudsmit-Saunderson solutions in gold, for thin samples with dimensionless thicknesses $λ=5,10,20$. We also compare to the Kawrakow \cite{Kawr} model, which uses the small angle approximation. We show that in the regime of $20$ to $100$ keV beam energies, our model performs better than Kawrakow's model and this is opposite above about 100 keV. Exactly, some angularly distributed beams and the influence of energy loss of the beam can be simulated with our model.
Comments11 pages, 8 figures
