平板去斜器中焦耳热的估算
Estimate of Joule Heating in a Flat Dechirper
摘要：
我们已经进行了焦耳功率损耗计算的平面decirper。我们已经考虑了两个板之间的轴上的光束的配置-啁啾控制-和光束特别接近一个板-作为一个快速冲击器使用。我们的计算使用表面阻抗的方法，一个是有效的，当微扰参数是小的孔径（微扰参数政权）相比。在我们的模型中，我们忽略了场反射的影响在decirper板的侧面，因此预计结果低估焦耳损失。分析结果也进行了测试的数值，时域模拟。我们发现，大部分的尾流功率损失的光束是辐射到板的两侧。对于光束通过单个平板的情况，我们推导出宽带阻抗的解析表达式，并在附录B中数值证实了最近开发的短程尾流的解析公式。虽然我们的理论可以应用到LCLS-II decirper与大的差距，对于标称孔径，我们不是在微扰制度和反射焦耳损失的贡献是不可忽略的。利用计算机模拟的输入，我们估计焦耳功率损耗（假设聚束电荷为300 pC，重复率为100 kHz）对于两个板的情况为21 W/m，对于单个板的情况为24 W/m。
英文摘要：
We have performed Joule power loss calculations for a flat dechirper. We have considered the configurations of the beam on-axis between the two plates---for chirp control---and for the beam especially close to one plate---for use as a fast kicker. Our calculations use a surface impedance approach, one that is valid when corrugation parameters are small compared to aperture (the perturbative parameter regime). In our model we ignore effects of field reflections at the sides of the dechirper plates, and thus expect the results to underestimate the Joule losses. The analytical results were also tested by numerical, time-domain simulations. We find that most of the wake power lost by the beam is radiated out to the sides of the plates. For the case of the beam passing by a single plate, we derive an analytical expression for the broad-band impedance, and---in Appendix B---numerically confirm recently developed, analytical formulas for the short-range wakes. While our theory can be applied to the LCLS-II dechirper with large gaps, for the nominal apertures we are not in the perturbative regime and the reflection contribution to Joule losses is not negligible. With input from computer simulations, we estimate the Joule power loss (assuming bunch charge of 300 pC, repetition rate of 100 kHz) is 21~W/m for the case of two plates, and 24 W/m for the case of a single plate.
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