Yashchuk Valeriy V, Goldberg Kenneth A, Lacey Ian, McKinney Wayne R, Sanchez Del Rio Manuel, Padmore Howard A
Advanced Light Source, Lawrence Berkeley National Laboratory, 1 Cyclotron Rd, Berkeley, CA 94720, USA.
J Synchrotron Radiat. 2021 Jul 1;28(Pt 4):1031-1040. doi: 10.1107/S1600577521004860. Epub 2021 Jun 1.
A new type of optical element that can focus a cylindrical wave to a point focus (or vice versa) is analytically described. Such waves are, for example, produced in a beamline where light is collimated in one direction and then doubly focused by a single optic. A classical example in X-ray optics is the collimated two-crystal monochromator, with toroidal mirror refocusing. The element here replaces the toroid, and in such a system provides completely aberration free, point-to-point imaging of rays from the on-axis source point. We present an analytic solution for the mirror shape in its laboratory coordinate system with zero slope at the centre, and approximate solutions, based on bending an oblique circular cone and a bent right circular cylinder, that may facilitate fabrication and metrology.
本文解析描述了一种新型光学元件，它能够将柱面波聚焦到一个点焦点（反之亦然）。例如，在光束线中会产生此类波，其中光在一个方向上被准直，然后由单个光学器件进行双聚焦。X射线光学中的一个经典例子是带有环形镜重新聚焦的准直双晶单色仪。这里的元件取代了环形镜，并在这样的系统中为来自轴上源点的光线提供完全无像差的点对点成像。我们给出了该镜在实验室坐标系中中心斜率为零的镜面形状的解析解，以及基于弯曲斜圆锥和弯曲直圆柱的近似解，这可能有助于制造和计量。
