Study on breathing vibration square superlattice pattern in dielectric barrier discharge

We report, for the first time, a square superlattice pattern with breathing mode vibration in dielectric barrier discharge containing an air-argon mixture by designing a square grid gas gap. In an experiment, center filaments (C) and four corner filaments (S) of the grid are stationary, while filaments (L) in the middle of the two regions are in nonharmonic vibration, as observed using a high-speed video camera. The vibration period decreases with the increasing argon content in the gas mixture, varying from 1.7 to 6.8 ms. Notably, C-L-S discharges successively per half voltage cycle using intensified charge-coupled devices and multiple photomultiplier tubes. In our simulation, the applied electric field is numerically simulated by solving Laplace's equation. The dynamic equation of L is set based on the Coulomb force generated by the wall charge and the radial electric field force generated by the applied electric field. The simulation trajectory of L shows nonharmonic vibration. Moreover, simulated period of vibration decreases with the increasing argon content, varying from 3.5 to 4.8 ms, which is consistent with the experimental results. This work is of great significance in promoting the study of the moving mechanism of microdischarge in dielectric barrier discharge.