合唱波激发的一个理论框架
A theoretical framework of chorus wave excitation
摘要：
我们提出了一个自洽的理论框架的合唱波激发，它描述了哨声波动谱的演变以及超热电子分布函数。重正化热电子响应被转换成类戴森方程的形式，从而导出非线性涨落增长和频移的演化方程。这种方法使我们能够第一次解析地推导出Vomvorphan等人最初提出的合唱啁啾速率的完全相同的表达式，1982.合唱啁啾示出对应于波粒子功率交换的最大化，其中每个单独的波属于哨声波包的特征在于小的非线性频移。我们还表明，已发表文献中提出的合唱啁啾的不同解释在当前的理论框架内具有一致的调和，这进一步阐明了与聚变等离子体和自由电子激光物理中类似现象的类比。
英文摘要：
We propose a self-consistent theoretical framework of chorus wave excitation, which describes the evolution of the whistler fluctuation spectrum as well as the supra-thermal electron distribution function. The renormalized hot electron response is cast in the form of a Dyson-like equation, which then leads to evolution equations for nonlinear fluctuation growth and frequency shift. This approach allows us to analytically derive for the first time exactly the same expression for the chorus chirping rate originally proposed by Vomvoridis et al.,1982. Chorus chirping is shown to correspond to maximization of wave particle power exchange, where each individual wave belonging to the whistler wave packet is characterized by small nonlinear frequency shift. We also show that different interpretations of chorus chirping proposed in published literature have a consistent reconciliation within the present theoretical framework, which further illuminates the analogy with similar phenomena in fusion plasmas and free electron laser physics.
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