Publication details

A multi-ratio method for determination of the electric field from 2p states in transient argon discharges at atmospheric pressure

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Authors

BONAVENTURA Zdeněk NAVRÁTIL Zdeněk LOFFHAGEN Detlef BECKER Markus M. HODER Tomáš

Year of publication 2026
Type Peer-reviewed scientific article
Magazine / Source PLASMA SOURCES SCIENCE & TECHNOLOGY
MU Faculty or unit

Faculty of Science

Citation
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Doi https://doi.org/10.1088/1361-6595/ae413d
Keywords electric field; metastable density; diagnostics; method; argon plasma; spectroscopy
Description We present a theoretical analysis demonstrating that a multi-ratio optical emission spectroscopy approach can, in principle, be applied to determine the instantaneous mean electron energy and reduced electric field (E/N) in transient low-temperature argon discharges at atmospheric pressure, while also allowing recovery of the relative densities of the Ar1s5..2 states. The method is derived from an advanced reaction kinetic model for argon accounting for 23 species and 409 processes by means of a dominant-balance analysis used to identify negligible terms and define explicit validity conditions in terms of reduced electric field, pressure, and relative excited-state densities for simplified formulation. By combining simplified balance equations for pairs of Ar2p10...2 states, the dependence on the unknown electron density is eliminated, and densities of the Ar2p10...2 states appear only in mutual ratios. The influence of metastable and resonant states is incorporated through specific terms, whose impact on the method sensitivity is quantified. The neutral collision processes among the Ar2p10...2 states has also shown to be significant. Numerical tests with various E/N waveforms confirm that the method accurately recovers the reduced electric field E/N, the mean electron energy, and relative densities of Ar1s5..2 states for a broad range of conditions, showing high sensitivity at E/N < 100Td and robustness for atmospheric pressure conditions. Limitations arise when neglected radiative processes or electron-impact collision processes among the Ar2p10...2 states compete with the direct electron-impact excitation, defining regimes where the derived formulation becomes invalid.
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