回波谐波产生中的聚束系数
Bunching coefficients in Echo-Enabled Harmonic Generation
摘要：
库仑扩散决定了自由电子激光籽晶器件中聚束系数的稀释。从数学的角度来看，该效应可以通过热型方程来建模，该热型方程可以与普通的刘维尔方程合并，从而控制纵向相空间光束分布的演变。我们将表明，使用分析工具，如广义贝塞尔函数和代数技术的进化问题的解决方案，可能会提供一个有用的分析方法，并进一步照亮物理方面的基本机制。
英文摘要：
Coulombian diffusion determines a dilution of bunching coefficients in Free Electron Laser seeded devices. From the mathematical point of view the effect can be modeled through a heat type equation, which can be merged with the ordinary Liouville equation, ruling the evolution of the longitudinal phase space beam distribution. We will show that the use of analytical tools like the Generalized Bessel Functions and algebraic techniques for the solution of evolution problems may provide a useful method of analysis and shine further light on the physical aspects of the underlying mechanisms.
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