自由电子激光的生长模式及其带宽
On Free-Electron Laser Growing Modes and their Bandwidth
摘要：
自由电子激光在科学中发挥着越来越重要的作用，从产生独特的飞秒X射线脉冲用于蛋白质结构的单次短记录到放大高能强子对撞机先进冷却系统中的微弱相互作用。虽然现代的自由电子激光代码可以描述其放大机制，深入的分析理解的机制是非常重要的一些应用。模式竞争、它们的增长率和放大带宽是自由电子激光最重要的参数之一。色散关系，它定义了这些重要的特性，可以解决解析只有极少数简单的情况下。本文指出，对于典型的钟形电子束能量分布，不存在唯一的生长模。我们还导出了确定自由电子激光带宽的解析表达式。
英文摘要：
Free-electron lasers play an increasing role in science, from generating unique femtosecond X- ray pulses for single short recording of the protein structures to amplifying feeble interactions in advanced cooling systems for high-energy hadron colliders. While modern Free-electron laser codes can describe their amplification mechanism, a deep analytical understanding of the mechanism is of extreme importance for a number of applications. Mode competition, their growth rates and amplification bandwidth are among the most important parameters of a free-electron laser. A dispersion relation, which defines these important characteristics, can be solved analytically only for a very few simple cases. In this letter we show that for a typical bell-shape energy distribution in electron beam there is no more that one growing mode. We also derive an analytical expression which determines the bandwidth of the free-electron laser.
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