轴向弯曲非对称劳厄晶体的聚焦和能量色散特性
Focusing and Energy Dispersion Properties of a Cylindrically Bent Asymmetric Laue Crystal
摘要：
弹性弯曲单晶劳厄壳衍射晶体为成像和光谱应用提供了有趣的新机会。衍射特性是很好理解的，然而，容易建模的衍射光束的能力阻碍了评估的焦点，相位和能量色散特性需要许多应用。这项工作开始收集弯曲劳厄晶体内的射线追踪衍射光束所需的元素，以便纳入其他强大的射线追踪应用程序，如阴影。具体地，我们解决了弯曲劳厄晶体中的条件，其中当目标X射线能量满足特定的不对称角条件时，圆柱形弯曲劳厄晶体将所有多色衍射光束聚焦在单个位置处-所谓的“魔术条件”。光束的焦点尺寸可以被最小化，但这种条件也会导致优异的能量色散特性。这个有趣的聚焦和能量色散现象的概念和数学方面进行了讨论。
英文摘要：
Elastically bent single-crystal Laue case diffraction crystals provide interesting new opportunities for imaging and spectroscopy applications. The diffraction properties are well understood, however, the ability to easily model the diffracted beams hinders assessment of the focal, phase and energy dispersive properties needed for many applications. This work begins to collect the elements needed to ray trace diffracted beams within bent Laue crystals for the purpose of incorporation into other powerful ray tracing applications such as SHADOW. Specifically, we address the condition in a bent Laue crystal where a cylindrically bent Laue crystal will focus all the polychromatic diffracted beams at a single location when a specific asymmetry angle condition is met for a target x-ray energy - the so-called "magic condition". The focal size of the beam can be minimized, but this condition also results in excellent energy-dispersive properties. The conceptual and mathematical aspects of this interesting focusing and energy dispersive phenomenon is discussed.
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