X射线和$γ$射线在具有平表面和圆柱表面的弯曲晶体中的传播
X-ray and $γ$-ray propagation in bent crystals with flat and cylindrical surfaces
摘要：
本文研究了X射线和$γ$射线在具有恒定应变梯度的平面或圆柱形表面的晶体中的传播。当位移场存在时，我们用Riemann-Green方法或数值方法求解Takagi-Taupin方程。我们应用的结果来研究一个双晶劳厄劳厄衍射仪的操作具有一个平面准直晶体，然后由一个弯曲的分析器晶体。特别是，我们研究的色散和非色散设置中的衍射峰的位置上的分析仪应变的效果，从而确认我们先前报告的峰位置被设置为仅由分析仪入射表面上的衍射平面间距。
英文摘要：
In this paper we investigate x-ray and $γ$-ray propagation in crystals having a constant strain gradient and flat or cylindrical surfaces. When a displacement field is present, we solve the Takagi-Taupin equations either by the Riemann-Green method or by a numerical method. We apply the results to study the operation of a double-crystal Laue-Laue diffractometer having a flat collimating crystal followed by a bent analyzer crystal. In particular, we examine the effect of the analyzer strain on the location of the diffraction peaks in the dispersive and non-dispersive setup, thus confirming our previously reported peak-location as being set only by the diffracting plane spacing on the analyzer entrance surface.
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