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考虑电子束自身场情况下，给出了反向导引磁场自由电子激光中平衡态电子运动的一种正则描述。证明了在可积极限下，不动点附近相轨道的稳定性；并采用美国麻省理工学院的反向导引场自由电子激光实验参数，计算了不同束流强度下的Ｐｏｉｎｃａｒｅ截面。结果表明，即使自身场相当强（束流强度达到６０００Ａ），平衡态电子的相轨道仍保持其规则性，相空间没有出现混沌，这说明在自由电子激光器中，利用反向导引磁场可以获得比传统的采用正向导引磁场更好的电子束质量，从而改善器件的输出性能。
Considering the electron beam itself, we give a regular description of the equilibrium electron motion in the free-electron laser of the reverse-guided magnetic field. The stability of the orbit around the fixed point is proved to be positive limitable. The Poincare section under different beam intensities is calculated by using the free-electron laser experimental parameters of the MIT reverse-guided field. The results show that the orbital of the equilibrium electron maintains its regularity and no chaos appears in the phase space, even though its own field is quite strong (the beam intensity reaches 6000A), which shows that in a free electron laser, the reverse guided magnetic field can be obtained Better than the traditional use of the forward guidance of the magnetic field of the electron beam quality, thereby improving the output performance of the device.