An Analysis of Nonlinear Harmonic Generation in High Gain Free-Electron Laser
An Analysis of Nonlinear Harmonic Generation in High Gain Free-Electron Laser
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DOI：
10.1109/jqe.2007.902782
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发表时间：
2007-08
影响因子：
2.5
通讯作者：
Jia Qika
中科院分区：
文献类型：
--
作者：
Jia Qika
对平面波荡器自由电子激光器中奇次谐波的演化进行了解析研究。推导了谐波的演化方程，揭示了谐波相互作用的依赖关系，可以描述线性和非线性谐波演化。给出了自放大自发辐射自由电子激光中非线性谐波功率的解析表达式。对于谐波饱和功率，给出了一个估算公式。推导了高增益谐波产生（HGHG）自由电子激光的谐波演化方程，在基本情况下，给出了HGHG的光场方程，描述了光场从相干增强到指数增益直至饱和的演化过程。
The odd harmonic evolution in the free-electron laser (FEL) employing planar undulator is studied analytically. The evolution equation of the harmonic is deduced, the dependence relation of the harmonics interactions is revealed, and both the linear and the nonlinear harmonic evolutions can be described. The analytical formula of the nonlinear harmonic power in self-amplified spontaneous emission FELs is given. For the saturation power of the harmonic, an estimation formula is given. The harmonic evolution equation for a high-gain harmonic generation (HGHG) FEL is also deduced, and in the fundamental case, it gives the optical field equation of HGHG, which describes the optical field evolution from the coherent enhancement to the exponential gain until the saturation occurrence.