Recirculating energy recovery linacs are a promising technology for delivering high power particle beams ($\sim$GW) while only requiring low power ($\sim$kW) RF sources. This is achieved by decelerating the used bunches and using the energy they deposit in the accelerating structures to accelerate new bunches. We present studies of the impact of the bunch packet filling pattern on the performance of the accelerating RF system. We perform RF beam loading simulations under various noise levels and beam loading phases with different injection schemes. We also present a mathematical description of the RF system during the beam loading, which can identify optimal beam filling patterns under different conditions. The results of these studies have major implications for design constraints for future energy recovery linacs, by providing a quantitative metric for different machine designs and topologies.

中文翻译：

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束流填充方式对循环能量回收直线加速器设计的影响

循环能量回收直线加速器是一种用于输送高功率粒子束的有前途的技术（$〜$GW），而仅需低功率（$〜$kW）射频源。这是通过使用过的束减速并利用它们在加速结构中沉积的能量来加速新束来实现的。我们目前研究束包填充模式对加速射频系统性能的影响。我们使用不同的注入方案在各种噪声水平和波束加载阶段下执行RF波束加载仿真。我们还介绍了光束加载过程中射频系统的数学描述，它可以确定不同条件下的最佳光束填充模式。这些研究的结果通过为不同的机器设计和拓扑提供定量指标，对未来能量回收直线加速器的设计约束具有重大影响。