包含辐射阻尼效应的束流纵向微波不稳定性研究
Study of the longitudinal microwave instability including the synchrotron radiation effect
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摘要: 包含束团辐射阻尼效应的Fokker-Planck方程是比较完备地描述粒子运动状态的束团分布方程。在Fokker-Planck方程的基础上采用微扰展开方法对纵向微波不稳定性的发生机制及过程进行了分析，并且根据计算结果，研究了辐射阻尼效应对纵向微波不稳定性的影响。在计算中包含了静态的势阱畸变效应。计算结果表明，包含辐射阻尼效应的纵向微波不稳定性阈值高于没有辐射阻尼效应的不稳定性阈值。Abstract: This paper presents a Fokker-Planck equation to describe the distribution of the particles in bunch, which includes synchrotron radiation damping effect. The subject of longitudinal microwave instability of a single bunched beam in a circular accelerator is studied with perturbation approach based on the Fokker-Planck equation, the potential well distortion effect and the synchrotron radiation damping effect being also included. The result shows that the threshold in the case of radiation damping included is a little higher than that in the case of no damping included.
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