束流位置补偿法测量横向和能量抖动的误差
Errors in Measuring Transverse and Energy Jitter by Beam Position Monitors
摘要：
由于有限的BPM分辨率，在不同的轨道参数，这是作为一个最小二乘拟合BPM数据发现的误差问题，是加速器物理的标准和重要的问题之一。即使如此，对于横向非耦合运动的情况下，重建误差的协方差矩阵可以“手工”计算，直接使用所获得的解决方案，作为一种工具，用于设计一个“良好的测量系统”，看起来并不相当简单。看来，更好地了解问题的性质仍然是可取的。我们朝着这个方向迈出了一步，将动态引入这个问题，乍一看似乎是静态的。我们认为一个虚拟的光束组成的虚拟粒子作为应用程序的重建程序的BPM读取错误的“所有可能的值”的结果。该光束沿着光束线按照与任何真实光束相同的规则传播，并且具有所有光束动力学特性，例如发射度、能量扩展、色散、电子感应加速器功能等。所有这些值都成为BPM测量系统的属性。可以比较两个BPM系统，比较它们的误差发射度和均方根误差能量扩展，或者对于给定的测量系统，可以通过将感兴趣点的误差电子感应加速器功能与期望值匹配来实现坐标和动量重建误差之间的所需平衡。
英文摘要：
The problem of errors, arising due to finite BPM resolution, in the difference orbit parameters, which are found as a least squares fit to the BPM data, is one of the standard and important problems of accelerator physics. Even so for the case of transversely uncoupled motion the covariance matrix of reconstruction errors can be calculated "by hand", the direct usage of obtained solution, as a tool for designing of a "good measurement system", does not look to be fairly straightforward. It seems that a better understanding of the nature of the problem is still desirable. We make a step in this direction introducing dynamic into this problem, which at the first glance seems to be static. We consider a virtual beam consisting of virtual particles obtained as a result of application of reconstruction procedure to "all possible values" of BPM reading errors. This beam propagates along the beam line according to the same rules as any real beam and has all beam dynamical characteristics, such as emittances, energy spread, dispersions, betatron functions and etc. All these values become the properties of the BPM measurement system. One can compare two BPM systems comparing their error emittances and rms error energy spreads, or, for a given measurement system, one can achieve needed balance between coordinate and momentum reconstruction errors by matching the error betatron functions in the point of interest to the desired values.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
