Role of gas composition in weakened nonlinear standing wave excitation and improved plasma radial uniformity in very-high-frequency asymmetric capacitive Ar/CF4 discharges

Fang-Jie Zhou, Yu-Ru Zhang, Kai Zhao, D. Wen, You-Nian Wang
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Abstract

The higher harmonics generated by nonlinear sheath motion would enhance the standing wave effect, and thus lead to center-peaked plasma density profile in very-high-frequency (VHF) capacitive discharges. In this work, a nonlinear transmission line (NTL) model introduced in [Zhou et al. Plasma Sources Sci. Technol. 30 125017 (2021)] has been extended, with radial transport of various particles and nonlinear sheath motion into account, to investigate the effects of CF4 fraction α on the nonlinear standing wave excitation and plasma radial uniformity in VHF (60 MHz) capacitively coupled Ar/CF4 plasmas at 3 Pa. The results indicate that for pure Ar discharges (i.e. α=0%), the nonlinearly excited harmonics with short wavelength significantly enhance the electron power absorption at the radial center, resulting in a pronounced central-high plasma density profile. As α increases, the high-order harmonics are gradually damped due to the increase of resistance, as well as the longer wavelength caused by thicker sheath thickness. Thus, the radial profile of the electron absorbed power density shifts from center-peak to edge-high. Besides, at the radial center, the electron density and Ar+ ion density decrease with α, CF3+ ion density shows an increasing trend, while F- ion density initially rises and then decreases. Moreover, the density profiles of all the species become more uniform at higher α, due to the suppressed nonlinear standing wave excitation and the longer wavelength of the nonlinear harmonics.
气体成分在削弱非线性驻波激励和改善超高频非对称电容性 Ar/CF4 放电等离子体径向均匀性中的作用
非线性鞘运动产生的高次谐波会增强驻波效应,从而导致超高频(VHF)电容式放电中的中心峰等离子体密度剖面。在这项工作中,对[Zhou 等人,等离子体源科学与技术 30 125017 (2021)]中引入的非线性传输线(NTL)模型进行了扩展,考虑了各种粒子的径向传输和非线性鞘运动,研究了 CF4 分数 α 对 3 Pa 下 VHF (60 MHz) 电容耦合 Ar/CF4 等离子体中非线性驻波激励和等离子体径向均匀性的影响。结果表明,对于纯 Ar 放电(即 α=0%),短波长的非线性激发谐波会显著增强径向中心的电子功率吸收,从而形成明显的中心高等离子体密度曲线。随着 α 的增大,高阶谐波会因为电阻的增大以及鞘厚导致的波长变长而逐渐减弱。因此,电子吸收功率密度的径向剖面由中心-峰值向边缘-高值转变。此外,在径向中心,电子密度和 Ar+ 离子密度随 α 的增大而减小,CF3+ 离子密度呈增大趋势,而 F- 离子密度则先增大后减小。此外,由于非线性驻波激发被抑制以及非线性谐波波长变长,所有物种的密度曲线在 α 越高时越均匀。
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