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对康普顿型自由电子激光（ＦＥＬ）光导效应进行了理论分析和数值计算。推导出适用于三维自由电子激光器中的电子束的等效折射率，说明高斯平面波激光场是电子束等效折射率按平方律分布即类透镜介质的结果。对自由电子激光强度和相位分布、光束半径以及等效折射率等进行了数值模拟，并对模拟结果进行了分析。
The theoretical analysis and numerical calculation of the light guide effect of Compton-type free-electron laser (FEL) are carried out. The equivalent refractive index of the electron beam is deduced for the three-dimensional free electron laser. It is shown that the Gaussian plane wave laser field is the result of the square-law distribution of the electron-beam equivalent refractive index, ie, the lens-like medium. The intensity and phase distribution of free electron laser, beam radius and equivalent refractive index were numerically simulated, and the simulation results were analyzed.