Analytic formulas for the D -mode Robinson instability

IF 1.5 3区物理与天体物理 Q3 PHYSICS, NUCLEAR Physical Review Accelerators and Beams Pub Date : 2024-06-07 DOI:10.1103/physrevaccelbeams.27.064402

Tianlong He, Weiwei Li, Zhenghe Bai, Weimin Li

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Abstract

The passive superconducting harmonic cavity (PSHC) scheme is adopted by several existing and future synchrotron light source storage rings, as it has a relatively smaller R/Q and a relatively larger quality factor (Q), which can effectively reduce the beam-loading effect and suppress the mode-one instability. By using a minimum search algorithm to solve the mode-zero Robinson instability equation of uniformly filled rigid bunches, we have revealed that the fundamental mode of PSHC with a large loaded Q possibly triggers the D-mode Robinson instability [T. He , Mode-zero Robinson instability in the presence of passive superconducting harmonic cavities, ]. This instability is a mode-zero coupled bunch instability, with an oscillation frequency close to the PSHC detuning (D-mode). Uniquely, it is anti-damped by the radiation damping effect. In this paper, we derive analytical formulas for the frequency and growth rate of the D-mode Robinson instability by taking several appropriate approximations. These formulas provide crucial insights for analyzing and understanding the D-mode Robinson instability. Published by the American Physical Society 2024

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D 模式罗宾逊不稳定性的解析公式

无源超导谐波腔（PSHC）方案具有相对较小的R/Q值和相对较大的品质因数（Q），可以有效降低光束负载效应，抑制模一不稳定性，因此被现有和未来的多个同步辐射光源存储环所采用。通过使用最小搜索算法求解均匀填充刚性束的模零罗宾逊不稳定性方程，我们发现大负载 Q 的 PSHC 基模可能会引发 D 模罗宾逊不稳定性 [T. He ， Mode-zero Robinson instability equation of uniformly filled rigid bunches]。He , Mode-zero Robinson instability in the presence of passive superconducting harmonic cavities, ]。这种不稳定性是一种模零耦合束不稳定性，振荡频率接近 PSHC 失谐（D 模）。独特的是，它受到辐射阻尼效应的反阻尼。在本文中，我们通过几个适当的近似值，推导出了 D 模式罗宾逊不稳定性的频率和增长率的解析公式。这些公式为分析和理解 D 模罗宾逊不稳定性提供了重要启示。美国物理学会出版 2024

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来源期刊

Physical Review Accelerators and Beams Physics and Astronomy-Surfaces and Interfaces

CiteScore

3.90

自引率

23.50%

发文量

158

审稿时长

23 weeks

期刊介绍： Physical Review Special Topics - Accelerators and Beams (PRST-AB) is a peer-reviewed, purely electronic journal, distributed without charge to readers and funded by sponsors from national and international laboratories and other partners. The articles are published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. It covers the full range of accelerator science and technology; subsystem and component technologies; beam dynamics; accelerator applications; and design, operation, and improvement of accelerators used in science and industry. This includes accelerators for high-energy and nuclear physics, synchrotron-radiation production, spallation neutron sources, medical therapy, and intense-beam applications.