Abstract

A method for computing the Laue diffraction of an X-ray spherical wave in a single crystal with an inclined step on the exit surface has been developed. The method is based on the use of two approaches to solving the problem: Fourier transformation of the wave function angular dependence in the case of a plane wave incident on a plate-shaped crystal and a numerical solution of the Takagi equations in the step area, where the diffraction parameters depend on the coordinate along the crystal surface. The effect of strong increase in the reflected-beam intensity (by a factor of more than 7 in the maxima) in the transition area, if the step boundary makes a smaller angle with the reflected-beam direction, is predicted based on the numerical calculations. The dependence of the effect on the step-boundary inclination angle is analyzed.

中文翻译：

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厚单晶中X射线的劳厄衍射理论，在出射面上有倾斜的台阶。一：数值解

摘要

已经开发出一种用于计算在出射面上具有倾斜台阶的单晶中的X射线球面波的劳厄衍射的方法。该方法基于两种解决方法：使用平面波入射到板状晶体时，波函数角相关性的傅立叶变换和阶梯区域中Takagi方程的数值解；其中衍射参数取决于晶体表面的坐标。根据数值计算，如果台阶边界与反射光束方向成较小的角度，则可以预测过渡区域反射光束强度的强烈增加（最大值时大于7倍）。 。分析了作用对阶梯边界倾斜角的依赖性。