Square superlattice pattern of dielectric barrier discharge gap with modulation effect

  • WANG Zhaoyang ,
  • XU Hongzhi ,
  • LI Caixia ,
  • GUO Liting ,
  • YU Guanglin
Expand
  • 1.College of Physics Science and Technology, Hebei University, Baoding 071002, China; 2.Troop of No. 32142, Baoding 071000, China; 3.College of Electronic Information Engineering, Hebei University, Baoding 071002, China

Received date: 2020-01-09

  Online published: 2021-04-07

Abstract

In the dielectric barrier discharge(DBD)based on hydropower poles, glass plates with 9 identical square holes arranged in regular symmetry are used as the boundary to obtain a number of hyperquadrilateral speckled patterns with the same cell structure, and their spatio-temporal dynamics are studied to analyze the mechanism of speckled pattern formation.The results show that each unit pattern is nested by three square substructures with different side lengths, the first square substructure geometric center in small unit is composed of four with faint dot, second condom nested structure in the first square substructure is made up of small point on the side of a square apex Angle and the twelve point near the border of a square structure constitute the third condom.Two photomultiplier tubes were used to simultaneously- DOI:10.3969/j.issn.1000-1565.2021.02.005具有调制作用的介质阻挡放电气隙中的超四边形斑图王朝阳1,徐洪志2,李彩霞3,郭丽婷1,于广林1(1. 河北大学 物理科学与技术学院,河北 保定 071002;2. 32142部队,河北 保定 071000;3.河北大学 电子信息工程学院,河北 保定 071002)摘 要:在基于水电极的介质阻挡放电中,采用了带有9个相同且规则对称排列的正方形孔的玻璃板作为边界,得到了多个具有相同单元格结构的超四边形斑图,并对其时空动力学进行研究,分析了斑图形成的机制.结果表明每个单元斑图由边长不同的3个正方形子结构嵌套而成,第1个正方形子结构在小单元几何中心位置由4个小点组成,第2套子结构嵌套在第1个正方形子结构外围,由小正方形顶角和边上的点组成,靠近边界的12个点组成的正方形构成第3套子结构.用2个光电倍增管同时测量每套正方形子结构中任选2个点的时间相关性,得到每个正方形子结构中各个点的放电在时间上的一致性.本实验表明当气隙单元格的边长D与各单元格之间的间距d比值为2时,同样条件下,不同单元格之间的放电没有相互作用,放电斑图存在统一性,这对于小面积调制气隙的放电研究具有一定意义.关键词:发光斑图;介质阻挡放电;调制作用;壁电荷;重复单元中图分类号:O43 文献标志码:A 文章编号:1000-1565(2021)02-0140-07Square superlattice pattern of dielectric barrier discharge gap with modulation effect WANG Zhaoyang1,XU Hongzhi2,LI Caixia3,GUO Liting1,YU Guanglin1(1.College of Physics Science and Technology, Hebei University, Baoding 071002, China;2.Troop of No. 32142,Baoding 071000,China;3.College of Electronic Information Engineering, Hebei University, Baoding 071002, China)Abstract: In the dielectric barrier discharge(DBD)based on hydropower poles, glass plates with 9 identical square holes arranged in regular symmetry are used as the boundary to obtain a number of hyperquadrilateral speckled patterns with the same cell structure, and their spatio-temporal dynamics are studied to analyze the mechanism of speckled pattern formation.The results show that each unit pattern is nested by three square substructures with different side lengths, the first square substructure geometric center in small unit is composed of four with faint dot, second condom nested structure in the first square substructure is made up of small point on the side of a square apex Angle and the twelve point near the border of a square structure constitute the third condom.Two photomultiplier tubes were used to simultaneously- 收稿日期:2020-01-09 基金项目:国家自然科学基金资助项目(11375051); 河北省自然科学基金资助项目(A2018201154;15961105D); 河北省教育厅科研基金资助项目(QN2017023;LJRC011) 第一作者:王朝阳(1995—),男,河北邢台人,河北大学在读硕士研究生,主要从事非线性介质阻挡放电斑图的研究.E-mail:651274436@qq.com 通信作者:李彩霞(1975—),女,河北衡水人,河北大学副教授,河北大学在读博士,主要从事非线性光学介质阻挡放电斑图的研究.E-mail:46020911@qq.com第2期王朝阳等:具有调制作用的介质阻挡放电气隙中的超四边形斑图measure the time correlation of any two points in each square substructure, and the time consistency of the discharge at each point in each square substructure was obtained.This experiment shows that when the ratio of the side length D of the air gap cell to the distance d between each cell is 2, under the same conditions, there is no interaction among the discharge of repeated cells, and there is uniformity in the discharge spot pattern, which is of certain significance for the discharge study of small area modulated air gap.

Cite this article

WANG Zhaoyang , XU Hongzhi , LI Caixia , GUO Liting , YU Guanglin . Square superlattice pattern of dielectric barrier discharge gap with modulation effect[J]. Journal of Hebei University(Natural Science Edition), 2021 , 41(2) : 140 -146 . DOI: 10.3969/j.issn.1000-1565.2021.02.005

References

[1] KOGELSCHATZ U. Dielectric-barrier discharges: their history, discharge physics, and industrial applications[J]. Plasma Chem Plasma Process, 2003, 23(1): 1-46. DOI:10.1023/A: 1022470901385.
[2] OPAITS D F, SHNEIDER M N, MILES R B, et al. Surface charge in dielectric barrier discharge plasma actuators[J]. Phys Plasmas, 2008, 15(7): 073505. DOI:10.1063/1.2955767.
[3] SILIPRANDI R A, ROMAN H E, BARNI R, et al. Characterization of the streamer regime in dielectric barrier discharges[J]. J Appl Phys, 2008, 104(6): 063309. DOI:10.1063/1.2978184.
[4] XU S Y, KANG L, CAI J S, et al. Experimental investigation on the optical emission spectroscopy of dielectric barrier discharge plasma actuators at different atmospheric pressures[J]. AIP Adv, 2018, 8(11): 115033. DOI:10.1063/1.5053602.
[5] HUI Y, LUN, LUO P Z, et al. Classification and uniformity optimization of mesh-plate DBD and its application in polypropylene modification[J]. Plasma Science and Technology, 2019, 21(5): 51-59.
[6] GARROD D R, FORMAN D. Pattern formation in the absence of polarity in dictyostelium discoideum[J]. Nature, 1977, 265(5590): 144-146. DOI:10.1038/265144a0.
[7] JORON M, JIGGINS C D, PAPANICOLAOU A, et al. Heliconius wing patterns: an evo-devo model for understanding phenotypic diversity[J]. Heredity, 2006, 97(3): 157-167. DOI:10.1038/sj.hdy.6800873.
[8] WERNER T, KOSHIKAWA S, WILLIAMS T M, et al. Generation of a novel wing colour pattern by the wingless morphogen[J]. Nature, 2010, 464(7292): 1143-1148. DOI:10.1038/nature08896.
[9] BELDADE P, BRAKEFIELD P M. The genetics and evo-devo of butterfly wing patterns[J]. Nat Rev Genet, 2002, 3(6): 442-452. DOI:10.1038/nrg818.
[10] ARBELL H, FINEBERG J. Pattern formation in two-frequency forced parametric waves[J]. Phys Rev E Stat Nonlin Soft Matter Phys, 2002, 65: 036224. DOI:10.1103/physreve.65.036224.
[11] LI, S B, WU, K Y. Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme[J]. Journal of Differential Equations, 2015, 259(5): 1990-2029.
[12] SHARPE J P, RAMAZZA P L, SUNGAR N, et al. Pattern stabilization through parameter alternation in a nonlinear optical system[J]. Phys Rev Lett, 2006, 96(9): 094101. DOI:10.1103/physrevlett.96.094101.
[13] CAULLET V, MARSAL N, WOLFERSBERGER D, et al. Vortex induced rotation dynamics of optical patterns[J]. Phys Rev Lett, 2012, 108(26): 263903. DOI:10.1103/physrevlett.108.263903.
[14] HECHT I, KESSLER D A, LEVINE H. Transient localized patterns in noise-driven reaction-diffusion systems[J]. Phys Rev Lett, 2010, 104(15): 158301. DOI:10.1103/physrevlett.104.158301.
[15] DOLNIK M, ZHABOTINSKY A M, EPSTEIN I R. Resonant suppression of turing patterns by periodic illumination[J]. Phys Rev E, 2001, 63(2): 026101. DOI:10.1103/physreve.63.026101.
[16] YANG L F, ZHABOTINSKY A M, EPSTEIN I R. Stable squares and other oscillatory turing patterns in a reaction-diffusion model[J]. Phys Rev Lett, 2004, 92(19): 198303. DOI:10.1103/physrevlett.92.198303.
[17] DONG L F, LI B, SHEN Z K, et al. Motion of rotating pairs in a hexagonal superlattice pattern within dielectric barrier discharge[J]. Phys Rev E, 2012, 86(3): 036211. DOI:10.1103/physreve.86.036211.
[18] ZHU P, DONG L F, YANG J, et al. Honeycomb superlattice pattern in a dielectric barrier discharge in argon/air[J]. Phys Plasmas, 2015, 22(2): 023507. DOI:10.1063/1.4907902.
[19] LI B, DONG L F, ZHANG C, et al. Periodic-driven vibration of discharge filaments induced by surface charges in a dielectric-barrier discharge[J]. J Phys D: Appl Phys, 2014, 47(5): 055205. DOI:10.1088/0022-3727/47/5/055205.
[20] SINCLAIR J, WALHOUT M. Dielectric-barrier discharges in two-dimensional lattice potentials[J]. Phys Rev Lett, 2012, 108(3): 035005. DOI:10.1103/physrevlett.108.035005.
[21] BERNECKER B, CALLEGARI T, BLANCO S, et al. Hexagonal and honeycomb structures in dielectric barrier discharges[J]. Eur Phys J Appl Phys, 2009, 47(2): 22808. DOI:10.1051/epjap/2009082.
[22] PÉRINET N, JURIC D, TUCKERMAN L S. Alternating hexagonal and striped patterns in faraday surface waves[J]. Phys Rev Lett, 2012, 109(16): 164501. DOI:10.1103/physrevlett.109.164501.
[23] CHEN M Z, ZHANG R, TANG L J, et al. Development of an industrial applicable dielectric barrier discharge(DBD)plasma treatment for improving bondability of poplar veneer[J]. Holzforschung, 2016, 70(7): 683-690. DOI:10.1515/hf-2015-0122.
[24] CATLLÁ A J, MCNAMARA A, TOPAZ C M. Instabilities and patterns in coupled reaction-diffusion layers[J]. Phys Rev E, 2012, 85(2): 026215. DOI:10.1103/physreve.85.026215.
[25] YU G, DONG L, DOU Y, et al. The interaction between volume discharges and surface discharges in spot-line white-eye hexagonal superlattice pattern in dielectric barrier discharge[J]. Physics of Plasmas, 2019, 26(2):023507.DOI:10.1063/1.5082820
[26] 郭丽婷,董丽芳,王朝阳,等.介质阻挡放电中白眼超点阵同心圆环发光斑图[J].发光学报,2019,40(10):1311-1317.
[27] 王永杰.介质阻挡放电四边形等离子体光子晶体研究[D].保定:河北大学,2014.
[28] GAO X, DONG L F, WANG H, et al. Three-dimensional patterns in dielectric barrier discharge with “H” shaped gas gap[J]. Phys Plasmas, 2016, 23(8): 083526. DOI:10.1063/1.4960831.
[29] 刘彬彬.介质阻挡放电中三种放电气隙下超点阵斑图的研究[D]. 保定: 河北大学, 2019.
[30] 杜天.介质阻挡放电均匀与非均匀电场中斑图的研究[D].保定:河北大学,2018. (
Outlines

/

〈 〉