非对称电容耦合射频等离子体非线性动力学的最小自洽模型

中文摘要 AI 辅助

我们针对几何非对称电容耦合等离子体的非线性射频动力学，发展了一个最小自洽的集总元件模型。快速电学响应由三个动力学变量描述：功率电极鞘层电荷、隔直电容电压和放电电流。周期性的射频解与稳态的粒子和能量平衡相耦合，后者根据运行条件和吸收功率确定电子温度和等离子体密度。对于氩气放电，该模型产生非线性电流振荡以及与等离子体串联共振相关的宽高次谐波响应。射频电压的变化导致谐波谱、吸收功率和等离子体密度的关联变化。对周期态的线性化将高频响应与时间相关的微分鞘层弹性系数联系起来。基于矩的有效弹性系数提供了相应特征PSR频率的紧凑估计。因此，该模型在一个最小自洽描述中连接了非线性射频动力学与等离子体维持。

英文摘要

We develop a minimal self-consistent lumped-element model for the nonlinear radio-frequency dynamics of geometrically asymmetric capacitively coupled plasmas. The fast electrical response is described by three dynamical variables: the powered-sheath charge, the blocking-capacitor voltage, and the discharge current. The periodic RF solution is coupled to stationary particle and energy balances, which determine the electron temperature and plasma density from the operating conditions and the absorbed power. For an argon discharge, the model produces nonlinear current oscillations and a broad higher-harmonic response associated with the plasma series resonance. Variation of the RF voltage leads to correlated changes in the harmonic spectrum, absorbed power, and plasma density. Linearization about the periodic state relates the high-frequency response to the time-dependent differential sheath elastance. A moment-based effective elastance provides a compact estimate of the corresponding characteristic PSR frequency. The model thereby connects nonlinear RF dynamics and plasma sustainment within a minimal self-consistent description.

发表机构

• Ruhr University Bochum（鲁尔大学波鸿分校）

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