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Transverse Fields in Dielectric Wake Field Accelerators

机译:介电唤醒场加速器中的横场

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Theory is presented for excitation of hybrid electric/magnetic (HEM) wake-field modes by passage of an electron drive bunch in a dielectric-lined cylindrical waveguide. The drive bunch is moving parallel to the waveguide axis, but is displaced by a radial increment r_0. Knowledge of the amplitudes of all HEM modes allows calculation of the transverse forces on a bunch or bunches that follow the displaced drive bunch. Approximate formulae for the transverse forces on a trailing bunch are given, valid in the limit of small r_0. These transverse forces can lead to beam instability, if cumulative transverse motion is significant on the time-scale of passage of the bunch through the accelerator module. Constructive interference can be present amongst TM_(0m) monopole modes that produce highly-peaked spatiotemporally-localized axial wake-fields, with peak fields at the locations of trailing bunches in a multi-bunch train. In this case, the spectrum of dipole (and higher order) HEM modes may not enjoy the same degree of constructive intereference, and may not have the same axial periodicity as the monopole modes. Further analytical and computational study is needed to determine the limitations that transverse wake fields may impose on a multi-bunch dielectric wake-field accelerator.
机译:理论是在电介质内衬的圆导波管提出了混合电/磁(HEM)唤醒场模式中的激发由电子驱动一堆通行。驱动一束平行于波导轴移动,但是由一径向增量R_0移位。所有HEM模式的振幅的知识允许在一堆或随后的移位驱动一束束的横向力的计算。对拖一堆的横向力近似公式给出,小R_0的限制有效。这些横向力可导致光束的不稳定,如果累积的横向运动是在时间尺度的一群通道的通过加速器模块显著。建设性干扰可以存在之间产生高度最高时在多束列车后束的位置时空本地化轴向唤醒领域,具有峰字段TM_(0米)单极模式。在这种情况下,偶极子(和更高阶)的频谱HEM模式可能不会享有相同程度的建设性intereference的,并且可能不具有相同的轴向的周期性单极模式。进一步的分析和计算研究是需要的确定的限制横向即尾场可能对多束电介质唤醒字段加速器。

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