title: 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} .
authors.affiliation: College of Physics Science & Technology, Hebei University, Baoding, 071002, China. Donglf@mail.hbu.edu.cn
authors.forename: Lifang
authors.initials: L
authors.lastname: Dong
authors.forename: Weili
authors.initials: W
authors.lastname: Liu
authors.forename: Hongfang
authors.initials: H
authors.lastname: Wang
authors.forename: Yafeng
authors.initials: Y
authors.lastname: He
authors.forename: Weili
authors.initials: W
authors.lastname: Fan
authors.forename: Ruiling
authors.initials: R
authors.lastname: Gao