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建立了改型Ｗｉｇｇｌｅｒ自由电子激光的非线性理论。导出了自洽非线性方程组。用计算机模拟了在改型Ｗｉｇｇｌｅｒ磁场中，电子与光场互作用从线性调制到非线性饱和的演化过程，得到了电子的相空间群聚图、高次谐波的增益、抽取效率和电子束的分布函数。同时还研究了电子束的能散度对高次谐波的增益和效率的影响等。模拟结果证实，改型ｗｉｇｇｌｅｒ自由电子激光是实现短波长相干光辐射的重要途径之一。
The nonlinear theory of modified Wiggler free electron laser is established. The self-consistent nonlinear equations are derived. The evolution of the interaction between electron and light field from linear modulation to nonlinear saturation in a modified Wiggler magnetic field was simulated by computer, and the phase-field clustering of electrons, gain of higher-order harmonics, extraction efficiency and electron beam The distribution function. At the same time, the effect of electron beam’s divergence on the gain and efficiency of higher harmonics is also studied. Simulation results show that the modified wiggler free electron laser is one of the important ways to achieve short wavelength coherent light radiation.