Gouy相和Courant-Snyder相的等价性
Equivalence of Gouy and Courant-Snyder phase
摘要：
电子涡旋束的产生和这些光束的转换成没有角动量的光束，通过光学系统，或反之亦然，已经追求在光学和电子显微镜社区，但也在加速器社区在过去的几十年。尽管采用了不同的概念方法，但取得了类似的结果。通过调整的Courant-Snyder理论，这是最初开发的加速器的光学性质的描述，激光模式的描述它示出，已开发的带电粒子和光束相同的模式转换器，和Courant-Snyder阶段和Gouy阶段是等效的。
英文摘要：
The generation of electron vortex beams and the conversion of these beams into beams without angular momentum by means of astigmatic optical systems, or vice versa, has been pursued in the optical and the electron microscopy community, but also in the accelerator community in the past decades. Despite different conceptual approaches similar results have been achieved. By adapting the Courant-Snyder theory, which was originally developed for the description of optical properties of accelerators, to the description of laser modes it is shown, that identical mode converters have been developed for charged particle and for light beams, and that the Courant-Snyder phase and the Gouy phase are equivalent.
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