Maintaining a discharge using a travelling electromagnetic wave results in a linear decrease in electron density along the plasma column. This distribution corresponds to the power dissipated by the wave to heat electrons in the gas
Michel Moisan

TL;DR
This paper presents a model for a stable travelling wave discharge (TWD) plasma column, accurately reproducing experimental electron density distribution and end-of-column behavior across various operating parameters.
Contribution
It introduces a unique model that precisely matches all experimental data for TWDs, including the electron density distribution and the column's termination point.
Findings
Electron density decreases linearly along the plasma column.
The model accurately reproduces the end of the wave propagation.
TWDs operate over a wide range of pressures, frequencies, and tube sizes.
Abstract
A new category of plasma emerged at the end of the 1970s. It consists of a column of plasma maintained by the electric field component of radiofrequency (RF) and microwave (MW) waves that propagate at the interface between the outer surface of the dielectric tube containing the plasma and the ambient air (vacuum). This plasma column is known as a travelling wave discharge (TWD) and has the property that its length increases with the absorbed RF and MW power. It is also perfectly stable and reproducible. The electron density of this plasma column decreases linearly along its axis until it drops abruptly to a non-zero value, marking the end of wave propagation. The slope of its distribution depends solely on the externally set operating parameters, namely the pressure of the carrier gas, the frequency of the wave and the inner radius of the discharge tube. The model presented in this…
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