Abstract Ar I 419.8 nm/751.5 nm line intensity ratio is suggested as a measure of the electric field in atmospheric pressure dielectric barrier discharges in argon. Using the electron distribution function calculated from the Boltzmann equation, electron impact excitation cross sections, quenching coefficients and other atomic data, theoretical dependencies of several line intensity ratios constructed from Ar I 3p5 4p and 3p5 5p argon lines on the electric field were calculated. Among them, the intensity ratio of 5p line at 419.8 nm (1s4–3p5 in Paschen notation) to 4p line at 751.5 nm line (1s4-2p5) was found to be sensitive in both the theory and the experiment.

The suggested line ratio was applied to the study of an atmospheric pressure volume dielectric barrier discharge in pure argon with sinusoidal voltage excitation. The spatiotemporal distribution of light emissions on 4p and 5p lines was measured using the time-correlated single photon counting technique (TCSPC) with high temporal (180 ps) and spatial (25 μm) resolution. The light emission on 419.8 nm line indicated the high electric field region in the propagating cathode-directed streamer due to a high excitation energy (14.58 eV) and a short effective lifetime (150 ps) of the 3p5 level. 

Several measured and calculated electron impact excitation cross sections were examined to interpret the measured line intensity ratio. Using the calculation based on a combination of the calculated (Zatsarinny 2014) and the measured cross section (Boffard 2007) for 2p5 and 3p5 levels, the electric field strengths reaching 110–120 Td were measured in the streamer head. 

The assumptions and limitations of this approach, as well as its instrumentation requirements, are discussed.
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