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arXiv 0706.2280physics.acc-phphysics.optics
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来自XFEL波荡器的纵向阻抗和尾流。对电流增强型SASE方案的影响

Longitudinal impedance and wake from XFEL undulators. Impact on current-enhanced SASE schemes

Gianluca Geloni, Evgeni Saldin, Evgeni Schneidmiller, Mikhail Yurkov

摘要:

在这篇文章中,我们推导出纵向阻抗和尾流函数的任意波荡器参数的波荡器设置,考虑到有限的横向尺寸的电子聚束。早期的研究考虑的是电子的线密度分布。我们专注于我们的注意力在长波长渐近线(与共振波长相比),在大距离的电子束从波荡器入口相比,超车长度,和大真空室的大小相比,典型的横向尺寸的字段。这些限制定义了一个参数区域的实际应用。我们计算了一个封闭的阻抗和尾流函数,可以在最一般的情况下进行数值计算。这样的表达式使我们能够推导出高斯横向和纵向束团形状的解析解。最后,我们研究了最近提出的电流增强SASE计划(ESASE)的可行性LCLS,以及在我们的近似范围内。本文提出的数值估计表明,阻抗引起的能量扩散是足以严重降低自由电子激光的性能。我们的结论与文献中的结果相反,文献中LCLS情况的尾流计算是在自由空间中给出的,就好像波荡器的存在可以忽略不计一样。

英文摘要:

In this article we derive longitudinal impedance and wake function for an undulator setup with arbitrary undulator parameter, taking into account a finite transverse size of the electron bunch. Earlier studies considered a line density-distribution of electrons instead. We focus our attention on the long-wavelength asymptote (compared with resonance wavelength), at large distance of the electron bunch from the undulator entrance compared to the overtaking length, and for large vacuum-chamber size compared to the typical transverse size of the field. These restrictions define a parameter region of interest for practical applications. We calculate a closed expression for impedance and wake function that may be evaluated numerically in the most general case. Such expression allows us to derive an analytical solution for a Gaussian transverse and longitudinal bunch shape. Finally, we study the feasibility of current-enhanced SASE schemes (ESASE) recently proposed for LCLS, that fall well-within our approximations. Numerical estimations presented in this paper indicate that impedance-induced energy spread is sufficient to seriously degrade the FEL performance. Our conclusion is in contrast with results in literature, where wake calculations for the LCLS case are given in free-space, as if the presence of the undulator were negligible.

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