论文标题
在darwin-howie-whelan方程上，用于施罗丁方程所描述的快速电子的散射
On the Darwin-Howie-Whelan equations for the scattering of fast electrons described by the Schrödinger equation
论文作者
论文摘要
Darwin-Howie-Whelan方程通常用于描述和模拟透射电子显微镜中快速电子的散射。它们是从schrödinger方程得出的无限多种包膜函数的系统。但是，对于图像的仿真，仅使用了一组有限的包膜函数，从而导致样品厚度方向的普通微分方程系统。我们研究该系统的数学结构，并提供了误差估计，以评估特殊近似值的准确性，例如两光束和系统行近似。
The Darwin-Howie-Whelan equations are commonly used to describe and simulate the scattering of fast electrons in transmission electron microscopy. They are a system of infinitely many envelope functions, derived from the Schrödinger equation. However, for the simulation of images only a finite set of envelope functions is used, leading to a system of ordinary differential equations in thickness direction of the specimen. We study the mathematical structure of this system and provide error estimates to evaluate the accuracy of special approximations, like the two-beam and the systematic-row approximation.
