Data obtained by computation for X-ray focusing using oriented Gaussian beams

The propagation of X-ray waves through an optical system consisting of several X-ray refractive lenses is considered. Gaussian beams are exact solutions of the paraxial equation. The Helmholtz equation describes the propagation of a monochromatic electromagnetic wave. Since the widths of the beams are much larger than the wavelength of X-rays, Gaussian beams can also be regarded as nearly exact solutions to the Helmholtz equation. In this approach, the propagating wave is represented as a superposition of the oriented Gaussian beams. The direction of wave propagation in each Gaussian beam is consistent with the local propagation direction of the X-ray wavefront. The data show the result of computation of the X-ray intensity obtained near the focal point, while X-rays are focused by 4 parabolic lenses made of beryllium. In total, the data consists of 39403 points. Each point consists of 3 numbers, which are separated by commas. The first and second numbers are responsible for the position (in millimeters) of the point on the plane, the third number - for the intensity values. Points are separated by brackets and enters. The algorithm for computing the dataset is available in the paper: P. Wojda, S. Kshevetskii, Oriented Gaussian beams for high-accuracy computation with accuracy control of X-ray propagation through a multi-lens system, J. Synchrotron Rad. (2019). 26, 363-372, https://doi.org/10.1107/S1600577518017368.

本研究考量X射线波在由多片X射线折射透镜组成的光学系统中的传播过程。高斯光束是傍轴方程的精确解。亥姆霍兹方程（Helmholtz equation）用于描述单色电磁波的传播。由于光束宽度远大于X射线波长，高斯光束亦可视为亥姆霍兹方程的近似精确解。在此方法中，传播的波被表示为定向高斯光束的叠加。每个高斯光束的传播方向与X射线波前的局部传播方向保持一致。
本数据集展示了X射线经4片铍制抛物透镜聚焦后，在焦点附近区域的X射线强度计算结果。本数据集总计包含39403个数据点。每个数据点由三个以逗号分隔的数值构成：前两个数值代表该点在平面上的位置（单位：毫米），第三个数值则对应强度值。各数据点以括号包裹，并通过换行符分隔。
该数据集的计算算法可参见下述论文：P. Wojda、S. Kshevetskii，《定向高斯光束用于X射线多透镜系统传播的高精度计算与精度控制》，J. Synchrotron Rad.（2019），第26卷，363-372页，https://doi.org/10.1107/S1600577518017368。