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Analytical Treatment Of Electron-trajectory Straightener Issues In Free-electron Lasers

机译:自由电子激光器中电子轨迹矫直机问题的分析处理

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The Poincare orbit of the electron's journey through a many-period FEL must be straight and narrow. To utilize an available technology level, the straightest wiggler-orbit operating point (SWOOP) is chosen by adjusting the spacing parameter of an orbit correction scheme. This eases the requirements for achieving the full potential of FEL wigglers. One quality index, one cost index, two quality factors, two measures of field noise, an improvement index and a straightener classification scheme are concepts that facilitate the analysis. Only when the field noise is large, is this analysis of direct use. A reader-friendly description culminates in the comparison of two schemes to illustrate the methods. Two coupled first-order Langevin equations have solutions that are proven to be Gaussian variables. The solutions are used to give the required cross-correlations. These results are coupled with a simple graphical technique and give an expression for the angular variance in the correction corridor. The two components of this variance are compared to a fiducial scheme and yield the two quality factors from which the quality, improvement and cost indices are computed.
机译:电子经过许多周期的FEL的庞加莱轨道必须是直且窄的。为了利用可用的技术水平,通过调整轨道校正方案的间隔参数来选择最平直的摆动轨道工作点(SWOOP)。这减轻了充分发挥FEL摆动器潜力的要求。一个质量指标,一个成本指标,两个质量因子,两种场噪声度量,一个改进指标和一个矫直机分类方案是有助于分析的概念。仅当场噪声较大时,才可以直接使用此分析。在两种方案的比较中以易于理解的描述最终达到了目的,以说明这些方法。两个耦合的一阶Langevin方程具有经证明是高斯变量的解。该解决方案用于给出所需的互相关。这些结果与简单的图形技术相结合,给出了校正通道中角度变化的表达式。将这种差异的两个组成部分与基准方案进行比较,得出两个质量因子,从中可以计算出质量,改进和成本指标。

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