中文摘要：

对于平面型波荡器取一维近似，忽略光场对于电子运动的影响，给出了非理想注入相对论性电子在平面型波荡器中的运动方程，进而基于电磁辐射的一般理论基于Lenard-Wicherd势，导出了相应的电磁辐射的角度、频谱分布的表达式．

英文摘要：

The motion and radiation spectrum was presented of an electron which was not injected into the planar undulator ideally. As usual, one dimensional approximation was adapted to the undulator magnetic field, and the effect by the radiation to the motion of the electron was omitted. Thus the motion was calculated, and based on the Lenard-Wicherd potential, the resulting radiation was calculated with the angular distribution and the spectrum.