Electric field non-linearity in very high frequency capacitive discharges at constant electron plasma frequency

TL;DR

This study uses particle-in-cell simulations to explore how increasing driving frequency affects electric field non-linearity, electron heating, and energy distribution in high-frequency capacitive discharges, revealing higher harmonic generation and changes in electron behavior.

Contribution

It provides new insights into the frequency-dependent non-linear effects and electron dynamics in high-frequency CCP discharges at constant electron plasma frequency.

Findings

Electric field non-linearity increases with frequency.

Higher harmonic content grows at higher frequencies.

Electron energy distribution shifts towards Maxwellian with increased frequency.

Abstract

A self-consistent particle-in-cell simulation study is performed to investigate the effect of driving frequency on the electric field non-linearity, electron heating mechanism and electron energy distribution function (EEDF) in a low pressure symmetric capacitively coupled plasma (CCP) discharge at a constant electron plasma frequency. The driving frequency is varied from 27.12 MHz to 100 MHz for a discharge gap of 3.2 cm in argon at a gas pressure of 1 Pa. The simulation results provide insight of higher harmonic generations in a CCP system for a constant electron response time. The spatio-temporal evolution and spatial time averaged electron heating is presented for different driving frequencies. The simulation results predict that the electric field non-linearity increases with a rise in driving frequency along with a concurrent increase in higher harmonic contents. In addition to the electron heating and cooling near to the sheath edge a positive <J.E> is observed in to the bulk plasma at higher driving frequencies. The EEDF illustrate enhancement in the population of mid-energy range electrons as driving frequency increases thereby changing the shape of EEDF from bi-Maxwellian to nearly Maxwellian. For the constant ion flux on the electrode surface, a decrease in the ion energy by more than half is observed with an increase in driving frequency.