摘要
冷腔束流动力学问题是微波器件和太赫兹器件的基本问题。在经典物理学框架内把周期场中片状束的运动方程化为Duffing型Mathieu方程。利用摄动法讨论了系统在ν=1共振线附近的运动行为,导出了系统频率响应和振幅响应,揭示了系统的跳跃现象和不稳定性。对线性近似下得到的部分结果进行了修正。
The beam dynamics problem for cold cavity is the basic problems of microwave devices and terahertz devices. The motion equation of the sheet-beam in the periodic field is reduced into Mathieu equation with Duffing-type in the classical physics framework. The motion behavior of the system in the vicinity of the v=1 resonance is discussed by using perturbed method; the frequency response and the amplitude response for the system are derived; the jumping phenomenon and instability of the system are revealed. The partial results obtained in the linear approximation are modified.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2015年第4期539-543,共5页
Journal of University of Electronic Science and Technology of China
基金
国家自然科学基金(61170216)
关键词
周期场
共振
片状束
稳定性
periodic field
resonance
sheet-beem
stability
