加速器光源中由于时空不稳定性引起的同步辐射脉冲同步
Synchronization of Synchrotron Radiation Bursts during a spatio-temporal Instability in accelerator-Based source
AI总结：
本研究通过调节射频腔体电场，实现了加速器光源中同步辐射脉冲的同步，揭示了时空不稳定性与外部信号调制之间的同步机制。
摘要：
同步是动力学系统中的基本现象，出现在机械、化学、生物和社会系统等多种情境中。在本工作中，我们探索了加速器光源中一种新的同步表现形式，特别是在存储环中，相对论电子束循环并发射同步辐射，用于用户实验。在这样的系统中，当束中包含大量电子时，会出现系统性的时空不稳定性。这种不稳定性表现为束中自发形成微结构，呈现出爆发行为。我们证明通过调节射频（RF）腔体中的电场，可以将这些爆发事件与外部正弦信号同步。这种外部调制诱导了典型的同步特征，如基本频率、谐波频率和亚谐波频率下的Arnold舌，以及接近同步阈值时的相滑现象。同步机制通过基于Vlasov-Fokker-Planck方程的数值模拟进行分析，并在SOLEIL同步辐射设施上进行了原理验证实验。
英文摘要：
Synchronization is a fundamental phenomenon in dynamical systems, occurring in a wide range of contexts such as mechanical, chemical, biological, and social systems. In this work, we explore a novel manifestation of synchronization in accelerator-based light sources, specifically in storage rings where relativistic electron bunches circulate and emit synchrotron radiation, used for user experiments. In such systems, a systematic spatio-temporal instability arises when the bunch contains a large number of electrons. This instability is characterized by the spontaneous formation of microstructures within the bunch, which appear with a bursting behavior. We demonstrate that these bursting events can be synchronized with an external sinusoidal signal by modulating the electric field in a radiofrequency (RF) cavity. This external modulation induces typical synchronization features such as Arnold tongues at fundamental, harmonic, and subharmonic frequencies of the natural bursting rate, as well as phase-slip phenomena near the synchronization threshold. The synchronization mechanism is analyzed using numerical simulations based on the Vlasov-Fokker-Planck equation, and a proof-of-principle experiment is conducted at the SOLEIL synchrotron facility.
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