Honeycomb hexagon pattern in dielectric barrier discharge

Abstract

We report on a honeycomb hexagon pattern in dielectric barrier discharge. It bifurcates from a square pattern as the applied voltage is increased. A phase diagram of the pattern types as a function of the gas component and applied voltage is presented. The spatial Fourier spectrum of the honeycomb hexagon pattern is a hexagonal superstructure with three wave vectors k[over ]_{1};{h} , k[over ]_{2};{s} and k[over ]_{3};{s} at least, demonstrating that the pattern is a superlattice pattern. Measurements of the correlation between discharge filaments indicate that the honeycomb hexagon pattern is an interleaving of three different transient hexagonal sublattices, whose spatial wave vectors are exactly equal to k[over ]_{1};{h} , k[over ]_{2};{s} and k[over ]_{3};{s} , respectively. These three wave modes fulfill a triad resonance condition k[over ]_{3};{s}-k[over ]_{2};{s}=k[over ]_{1};{h} .

Phase-resolved measurement of the spatial surface charge distribution in a laterally patterned barrier discharge

“…Often, the discharge spots move across the discharge area and come to a rest after few minutes [15]. Laterally patterned discharges have been observed by several other authors, e. g. [14,[16][17][18][19][20]. Mostly, they appear in helium or helium mixtures in the parameter range of pressure p from 75 to 1000 hPa, frequency f from 50 to 200 kHz, electrode distance d from 0.5 to 3 mm, voltage Û from 300 to 800 V.…”

Simulation study of one-dimensional self-organized pattern in an atmospheric-pressure dielectric barrier discharge

“…The self-organized pattern discharge is characterized by an ordered macroscopic structure, displaying as discharge channels regularly arranged in the discharge space. A variety of self-organized patterns, such as the one-dimensional pattern, 16 concentric-ring, 17 spiral pattern, 18 hexagon, 19 etc., [20][21][22] have been found in various atmospheric-pressure systems, even in the atmosphericpressure plasma jet. 23,24 However, because the patterned discharge is very sensitive to controlling parameters, and a small variation in discharge parameters may cause the discharge behavior to change from a self-organized pattern to another one, even from a stationary structure to a dynamical structure, the physical mechanisms and discharge conditions that result in various self-organized patterns, as well as the temporal-spatial evolutions of patterned discharge are still not understood completely.…”

Analysis of Spatial Distribution of Hexagonal Patterns Based on Fourier Spectra and Spatial Correlation Function

“…For a high pd or over voltage, the discharge operates in the streamer regime leading to a filamentary discharge. In recent years, rich pattern types has been found in the dielectric barrier discharge system , such as rectangular pattern, hexagonal pattern, stripe pattern, white eyes , spiral-wave spot , super-lattice pattern, and superlattice pattern super etc [3][4][5][6] .…”