The diaboloid is a reflecting surface that converts a spherical wave to a cylindrical wave. This complex surface may find application in new Advanced Light Source bending-magnet beamlines or in other beamlines that now use toroidal optics for astigmatic focusing. Here, the numerical implementation of diaboloid mirrors is described, and the benefit of this mirror in beamlines exploiting diffraction-limited storage rings is studied by ray tracing. The use of diaboloids becomes especially interesting for the new low-emittance storage rings because the reduction of aberration becomes essential for such small sources. The validity of the toroidal and other mirror surfaces approximating the diaboloid, and the effect of the mirror magnification, are discussed.

中文翻译：

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使用 diaboloid 反射镜的应用模拟

diaboloid 是将球面波转换为柱面波的反射面。这种复杂的表面可能会应用于新的高级光源弯曲磁铁光束线或现在使用环形光学器件进行散光聚焦的其他光束线。在这里，描述了diaboloid 反射镜的数值实现，并通过光线追踪研究了该反射镜在利用衍射限制存储环的光束线中的好处。对于新的低辐射存储环，使用diaboloids 变得特别有趣，因为像差的减少对于如此小的源来说变得至关重要。讨论了环形面和其他镜面近似于空心面的有效性，以及镜面放大率的影响。