It is shown that the dynamics of electrons accelerated in narrow capillary waveguides is significantly influenced by the parametric excitation of their betatron oscillations. On the one hand, this excitation can irreversibly spoil the emittance of an accelerated electron bunch that limits the possibilities of their practical use. On the other hand, controlled parametric excitation of betatron oscillations can be used to generate short-pulse sources of synchrotron radiation. The article analyzes the regions of parametric instabilities, their dependence on the parameters of accelerated electron bunches and guiding structures, and their influence on the dynamics of accelerated electrons. The parameters of the generated synchrotron radiation are also estimated. Measurements of the spectral parameters of synchrotron radiation can serve as a tool for diagnostics of betatron oscillations and their excitation in the case of parametric resonances.

中文翻译：

---

毛细管波导中加速电子束 Betatron 振荡的特性

结果表明，在窄毛细管波导中加速的电子动力学受到其电子感应加速器振荡的参量激发的显着影响。一方面，这种激发会不可逆地破坏加速电子束的发射率，从而限制了其实际应用的可能性。另一方面，电子感应加速器振荡的受控参数激发可用于产生同步辐射的短脉冲源。文章分析了参数不稳定性的区域，它们对加速电子束团和引导结构的参数的依赖性，以及它们对加速电子动力学的影响。还估计了产生的同步辐射的参数。