中文摘要：

研究了在包含恒定轴向磁场的螺旋型波荡器中运动的电子动力学行为.采用Mathematica数值模拟考察一般条件下的电子轨道及其在横向平面内的投影形状.在电子入射偏离理想螺旋型轨道的情况下,电子在波荡器中的运动轨道在横向平面内的投影曲线可能是周期或者准周期的,对此作了讨论并给出了相应的判据.

英文摘要：

The dynamics of a relativistic electron was investigated in a constant-amplitude helical undulator with a uniform axial magnetic field.The trajectory of an electron as well as its projection on the transverse plane was investigated by means of numerical simulation.In the cases where the electron was not injected along an ideal helical trajectory,the projection of electron trajectories along the undulator was discussed,and the criterion for periodic or quasi-periodic is provided.