Multi frequency matching for voltage waveform tailoring
Frederik Schmidt, Julian Schulze, Erik Johnson, Jean-Paul Booth,, Douglas Keil, David M. French, Jan Trieschmann, Thomas Mussenbrock

TL;DR
This paper introduces a novel multi-frequency impedance matching network design method for tailored voltage waveforms in radio-frequency plasmas, enabling industrial application of advanced plasma control techniques.
Contribution
A new network synthesis approach for multi-frequency matching that ensures maximum power transfer for complex plasma excitation signals.
Findings
Matching conditions satisfied across various pressures and frequencies
Simulation confirms feasibility of the proposed matching network
Potential for industrial implementation of tailored plasma waveforms
Abstract
Customized voltage waveforms composed of a number of frequencies and used as the excitation of radio-frequency plasmas can control various plasma parameters such as energy distribution functions, homogeneity of the ionflux or ionization dynamics. So far this technology, while being extensively studied in academia, has yet to be established in applications. One reason for this is the lack of a suitable multi-frequency matching network that allows for maximum power absorption for each excitation frequency that is generated and transmitted via a single broadband amplifier. In this work, a method is introduced for designing such a network based on network theory and synthesis. Using this method, a circuit simulation is established that connects an exemplary matching network to an equivalent circuit plasma model of a capacitive radio-frequency discharge. It is found that for a range of gas…
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