We observed on a D2h superlattice pattern in the dielectric barrier discharge for the first time. Its spatiotemporal structure investigated by an intensified charge-coupled device shows that it is an interleaving of three different sublattices, which are hexagonal sublattice, halos and square sublattice, respectively. With increasing driving parameter, the discharge sequence is hexagonal sublattice-halos-square sublattice in each half cycle of applied voltage. The evolution sequence of the symmetry is D4h-the mixed state of both D4h and D6h-D2h-D2h by analyzing a series of patterns occurred in the evolution process. The symmetry of the hexagonal sublattice, the square sublattice and the halos belong to D2h point group by analyzing the symmetry of the three sublattices. The emission line of the second positive band system (C3∏u→B3∏g) of the nitrogen molecule (N2) and the emission line at
国家自然科学基金(11375051)
河北省教育厅项目(LJRC001)
[1] Sergent A, Quéré P L. Long time evolution of large-scale patterns in a rectangular Rayleigh-Bénard cell. 2011, 318: 082010 CrossRef ADS Google Scholar
[2] Rogers J L, Schatz M F, Brausch O, et al. Superlattice patterns in vertically oscillated Rayleigh-Bénard convection. 2000, 85: 4281-4284 CrossRef PubMed ADS Google Scholar
[3] Lohaus T, Herkenhoff N, Shankar R, et al. Feed flow patterns of combined Rayleigh-Bénard convection and membrane permeation. 2018, 549: 60-66 CrossRef Google Scholar
[4] Vanag V K, Yang L, Dolnik M, et al. Oscillatory cluster patterns in a homogeneous chemical system with global feedback. 2000, 406: 389-391 CrossRef PubMed Google Scholar
[5] Page K M, Maini P K, Monk N A M. Complex pattern formation in reaction-diffusion systems with spatially varying parameters. 2005, 202: 95-115 CrossRef ADS Google Scholar
[6] Li J, Wang H, Ouyang Q. Square turing patterns in reaction-diffusion systems with coupled layers. 2014, 24: 023115 CrossRef PubMed ADS Google Scholar
[7] Logvin Y A, Ackemann T. Interaction between Hopf and static instabilities in a pattern-forming optical system. 1998, 58: 1654-1661 CrossRef ADS Google Scholar
[8] Sharpe J P, Ramazza P L, Sungar N, et al. Pattern stabilization through parameter alternation in a nonlinear optical system. 2006, 96: 094101 CrossRef PubMed ADS Google Scholar
[9] Gurevich E L, Zanin A L, Moskalenko A S, et al. Concentric-ring patterns in a dielectric barrier discharge system. 2003, 91: 154501 CrossRef PubMed ADS Google Scholar
[10] Callegari T, Bernecker B, Boeuf J P. Pattern formation and dynamics of plasma filaments in dielectric barrier discharges. 2014, 23: 054003 CrossRef ADS Google Scholar
[11] Chirokov A, Gutsol A, Fridman A, et al. A study of two-dimensional microdischarge pattern formation in dielectric barrier discharges. 2006, 26: 127-135 CrossRef Google Scholar
[12] He Y F, Dong L F, Liu F C, et al. Progress of study on dynamics of pattern in dielectric barrier discharge (in Chinese). Prog Nat Sci, 2007, 17: 561–567 [贺亚峰, 董丽芳, 刘富成, 等. 介质阻挡放电斑图动力学研究进展. 自然科学进展, 2007, 17: 561–567]. Google Scholar
[13] Shang W L, Wang D Z. Concentric-ring patterns in a helium dielectric barrier discharge at atmospheric pressure. 2007, 24: 1992-1994 CrossRef ADS Google Scholar
[14] Dong L F, Zhang X P, Zhang C, et al. Spatiotemporal structure of the square superlattice pattern in dielectric barrier discharge observed by high-speed camera (in Chinese). High Volt Eng, 2014, 40: 1229–1234 [董丽芳, 张新普, 张超, 等. 采用高速照相机研究介质阻挡放电超四边斑图的时空结构. 高电压技术, 2014, 40: 1229–1234]. Google Scholar
[15] Srivastava A K. Observation of self-organized square lattice pattern formation in surface barrier discharge plasma. 2016, 82: 72-78 CrossRef Google Scholar
[16] Wei L, Dong L, Fan W, et al. A complex pattern with hexagonal lattice and white-eye stripe in dielectric barrier discharge. 2018, 8: 3835 CrossRef PubMed ADS Google Scholar
[17] Liu Y, Dong L, Niu X, et al. Study on hexagonal super-lattice pattern with surface discharges in dielectric barrier discharge. 2015, 22: 103501 CrossRef ADS Google Scholar
[18] Zanin A L, Gurevich E L, Moskalenko A S, et al. Rotating hexagonal pattern in a dielectric barrier discharge system. 2004, 70: 036202 CrossRef PubMed ADS Google Scholar
[19] Sánchez-álvarez J J, Serre E, Crespo del Arco E, et al. Square patterns in rotating Rayleigh-Bénard convection. 2005, 72: 036307 CrossRef PubMed ADS Google Scholar
[20] Dong L, Fan W, He Y, et al. Square superlattice pattern in dielectric barrier discharge. 2006, 73: 066206 CrossRef PubMed ADS Google Scholar
[21] Dong L, Shen Z, Li B, et al. Pattern formation based on the triple-layer coupling mechanism. 2013, 87: 042914 CrossRef PubMed ADS Google Scholar
[22] Bernecker B, Callegari T, Blanco S, et al. Hexagonal and honeycomb structures in dielectric barrier discharges. 2009, 47: 22808 CrossRef ADS Google Scholar
[23] Wang Y, Dong L, Liu W, et al. Generation of tunable plasma photonic crystals in meshed dielectric barrier discharge. 2014, 21: 073505 CrossRef ADS Google Scholar
[24] Hao F, Dong L, Du T, et al. Spatiotemporal distribution of surface charges in square-grid state in a dielectric barrier discharge. 2018, 25: 033510 CrossRef ADS Google Scholar
Figure 1
Schematic of the experiment.
Figure 2
(Color online) Transition of the pattern with voltage increasing. Experimental parameters: gas pressure
Figure 3
(Color online) Waveforms of the voltage and the current of the D2h superlattice pattern and pictures taken by the high speed camera and their superposition. (a) Wave forms of the voltage and the current. (b)–(d) images exposed corresponding to the current pulse phases denoted by ?
Figure 4
(Color online) Analysis of the symmetry of patterns occurred in the evolution of the D2h superlattice pattern. (A), (B1) , (B2) and (C) are patterns that appear during evolution. (a), (b1), (b2) and (c) are schematic diagrams of symmetry analysis corresponding to (A), (B1) , (B2) and (C), respectively.
Figure 5
(Color online) Analysis of the symmetry of different substructures in the D2h superlattice pattern. (a) D2h superlattice pattern; (a1) schematic diagram of discharge pulse; (b), (c) and (d) are substructures corresponding to Δ
Figure 6
(Color online) Spectral measurement results of D2h super-lattice pattern. (a) Emission spectrum in the range of
Figure 7
(Color online) Schematic diagram of the spatial structure evolution of D2h superlattice pattern. (a), (c) and (e) are schematic diagrams of discharge timings of three sets of substructures; (b) and (d) are schematic diagrams of electric fields formed by hexagonal lattice and halo, respectively.
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