对于螺旋型波荡器磁场取一维近似,并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螺旋型波荡器中的运动方程,进而按照电磁辐射的一般理论基于Liénard-Wiechert势,导出了相应的电磁辐射的角度、频谱分布的表达式.
Presented here was the motion and radiation spectrum of an electron was not ideally injected into the helical undulator.As usual,one dimensional approximation was adapted to the undulator magnetic field,and the effect resulting from the radiation on the motion of the electron was omitted.Thus the motion was calculated,and based on the Liénard-Wiechert potential in general theory of electromagetic radiation,the resulting radiation was obtained with the angular distribution and the spectrum.