螺旋扭摆器自由电子激光的非线性谐波理论
Theory of Nonlinear Harmonic Generation in Free-Electron Lasers with Helical Wigglers
摘要：
相干谐波产生（CHG），特别是非线性谐波产生（NHG），对于短波长自由电子激光（FEL）和高平均功率自由电子激光谐振腔都是重要的，其中短波长自由电子激光与固定的电子束能量有关，高平均功率自由电子激光谐振腔与高次谐波辐射对反射镜的破坏性影响有关。在本文中，我们提出了一种治疗的NHG从螺旋摇摆器，特别强调的二次谐波。我们的研究是基于麦克斯韦方程组的精确解析解，与格林函数方法的帮助下导出。特别是，我们证明了非线性谐波产生（NHG）从螺旋摇摆器轴上消失。我们的结论与文献中的结果形成了鲜明的对比，文献中的结果在描述电子运动时存在运动学错误。
英文摘要：
Coherent Harmonic Generation (CHG), and in particular Nonlinear Harmonic Generation (NHG), is of importance for both short wavelength Free-Electron Lasers (FELs), in relation with the achievement of shorter wavelengths with a fixed electron-beam energy, and high-average power FEL resonators, in relation with destructive effects of higher harmonics radiation on mirrors. In this paper we present a treatment of NHG from helical wigglers with particular emphasis on the second harmonic. Our study is based on an exact analytical solution of Maxwell's equations, derived with the help of a Green's function method. In particular, we demonstrate that nonlinear harmonic generation (NHG) from helical wigglers vanishes on axis. Our conclusion is in open contrast with results in literature, that include a kinematical mistake in the description of the electron motion.
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