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arXiv 1512.02450physics.plasm-ph
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动力学效应对平行电极探针光谱的影响

Influence of kinetic effects on the spectrum of a parallel electrode probe

J. Oberrath, R. P. Brinkmann

摘要:

有源等离子体共振光谱(APRS)是一类利用等离子体在电子等离子体频率上或附近共振的自然能力的诊断技术。一类特殊的APRS可以用基于静电近似中的泛函分析方法的抽象符号来描述。这些方法允许在任意几何形状的动力学模型的一般解决方案。该解作为探针-等离子体系统的响应函数给出,并由适当的动力学算子的预解式定义。一般响应预测由于动力学效应的附加阻尼。本文在简单几何条件下推导了动力学APRS模型的显式响应函数。因此,预解式由其基于正交基函数展开的矩阵表示确定。这允许计算近似响应函数。由此产生的光谱清楚地显示出由于动力学效应而产生的更强的阻尼。

英文摘要:

Active Plasma Resonance Spectroscopy (APRS) denotes a class of diagnostic techniques which utilize the natural ability of plasmas to resonate on or near the electron plasma frequency. One particular class of APRS can be described in an abstract notation based on functional analytic methods in electrostatic approximation. These methods allow for a general solution of the kinetic model in arbitrary geometry. This solution is given as the response function of the probe-plasma system and is defined by the resolvent of an appropriate dynamical operator. The general response predicts an additional damping due to kinetic effects. This manuscript provides the derivation of an explicit response function of the kinetic APRS model in a simple geometry. Therefore, the resolvent is determined by its matrix representation based on an expansion in orthogonal basis functions. This allows to compute an approximated response function. The resulting spectra show clearly a stronger damping due to kinetic effects.

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