Flux and energy asymmetry in a low pressure capacitively coupled plasma discharge excited by sawtooth-like waveform -- a harmonic study

TL;DR

This study uses particle-in-cell simulations to explore how varying the harmonic content of a sawtooth waveform influences plasma asymmetry, density, and ion energy distribution in low-pressure CCP discharges.

Contribution

It provides new insights into how the number of harmonics in a sawtooth waveform affects plasma asymmetry, sheath behavior, and ion energy distributions in collisionless CCPs.

Findings

Plasma density and ion flux exhibit non-linear dependence on harmonic number N.

Ionization asymmetry increases with N, affecting sheath dynamics.

Ion energy distribution shifts from broad bi-modal to narrow with increasing N.

Abstract

Control over plasma asymmetry in a low-pressure capacitively coupled plasma (CCP) discharges is vital for many plasma processing applications. In this article, using the particle-in-cell simulation technique, we investigated the asymmetry generation by a temporally asymmetric waveform (sawtooth-like) in collisionless CCP discharge. A study by varying the number of harmonics (N) contained in the sawtooth waveform is performed. The simulation resultspredict a non-linear increase in the plasma density and ion flux with N i.e., it first decreases, reaching a minimum value for a critical value of N, and then increases almost linearly with afurther rise in N. The ionization asymmetry increases with N, and higher harmonics on the instantaneous sheath position are observed for higher values of N. These higher harmonics generate multiple ionization beams that are generated near the expanding sheath edge and are responsible for an enhanced plasma density for higher values of N. The ion energy distribution function (IEDF) depicts a bi-modal shape for different values of N. A strong DC self-bias is observed on the powered electrode, and its value with respect to the plasma potential decreases with an increase in N due to which corresponding ion energy on the powered electrode decreases. The simulation results conclude that by changing the number of harmonics of a sawtooth-like in collisionless CCP discharges, the ion flux asymmetry is not generated, whereas sheath symmetry could be significantly affected and therefore a systematic variation in the ion energy asymmetry is observed. Due to an increase in the higher harmonic contents in the sawtooth waveform with N, a transition from broad bi-modal to narrow-shaped IEDFs is found.