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  250 IEEE TRANSACTIONS ON PLASMA SCIENCE, VOL. 33, NO. 2, APRIL 2005 Plasma–Polymer Interactions in aDielectric Barrier Discharge Ananth N. Bhoj and Mark J. Kushner  , Fellow, IEEE   Abstract— Atmospheric pressure plasma treatment of polymersis routinely used to improve surface properties such as adhesionand wettability. These changes in properties occur by functional-ization of the surface by radicals and ions generated in the plasma,typically oxidizing the surface and increasing surface energy. Onesuch device used, a dielectric barrier discharge, is modeled in thisstudy. Images show the progress of the electron avalanche acrossthe gap and the enveloping of surface features on the polymer bythe plasma.  IndexTerms— Avalanche,dielectricbarrierdischarge,modeling,plasma, polymer. A TMOSPHERIC pressure plasmas are commonly usedto treat large surface areas of polymer films, such aspolypropylene, to impart enhanced surface properties such asadhesion and wettability [1]. The change in surface propertiesis produced by functionalization of the polymer by plasmagenerated radicals and ions. The gas chemistry used dependson the desired surface properties to be imparted. For example,containing plasmas increase surface energy by bonding of O atoms onto the polymer surface, thereby increasing its wetta-bility. The polymer surface often consists of a mat of strands ortubules having diameters of 100s nm to a few microns [1]. Theinteraction of the plasma into crevices formed by the strandsis an issue with respect to uniformity of functionalization.Dielectric barrier discharges (DBDs) are one class of devicesused for generating atmospheric pressure plasmas for thispurpose [2]. In the DBD shown in Fig. 1, a linear electrode tipis the biased cathode and the polymer sheet rolls on a groundedmetal substrate.Atwo-dimensional plasmahydrodynamicsmodeladdressinggas and surface chemistry was used to model the interaction of an electron avalanche in a DBD with the polymer surface. Themodel consists of a simultaneous solution of Poisson’s equationfor the electric potential with multifluid charged particle con-servation equations followed by an update of neutral densitiesin a time-splicing manner. Gain and loss terms include electronimpact ionization and excitation, heavy particle reactions andsecondary electron sources from surfaces. The gas is humid air Manuscript received September 15, 2004; revised November 8, 2004. Thiswork was supported in part by the National Science Foundation under GrantCTS03-15353 and in part by 3M Inc.A. N. Bhoj is with the Department of Chemical and Biomolecular Engi-neering, University of University of Illinois, Urbana, IL 61801 USA ( J. Kushner is with the Department of Electrical and ComputerEngineering, Iowa State University, Ames, IA 50011 USA ( Object Identifier 10.1109/TPS.2005.845899Fig. 1. Schematic of the DBD and surface resident strands. at 1 atm. Gas species include , , , N, , , N,, , , , O, , , O, , ,, ,H,OH,and .Radicalsandionsfromtheplasmaimpinge onto the polymer, react with surface species and func-tionalgroups,therebymodifyingtheirproperties,andreturngasphase products. Surface species are alkyl radicals, alkoxy radi-cals, alcohol groups, hydroperoxide groups, aldehyde, and acidgroups.The DBD was modeled as having a linear electrode, sym-metric across the centerline shown in Fig. 1. The cathode is bi-asedto 15kVwithatip2mmabovethepolymersurface.Fea-tures resembling strands found on polypropylene are resolvedat the submicron spatial scale on the surface of the polymerto enable investigation of plasma penetration. The unstructuredmesh, created with SkyMesh2 [3], has 5937 nodes (3299 in theplasma).Theresolutionspans0.5mm–0.5 m,arangeobtainedby having a series of sequentially finer refinement zones. Im-ages were created with Tecplot v8 [4], Corel Draw v12 [5], and Adode Photoshop v7 [6].Dynamics of the avalanche are imaged in Fig. 2 wherethe electron density is shown. Plasma, initially generated atthe cathode tip, avalanches toward the polymer in the largenormalized electric fields produced bygeometric enhancement and space charge beginning at 0.25 ns.The avalanche bridges the gap, impinging on the polymer,by 1.5 ns. Upon intersecting with the polymer, a secondary 0093-3813/$20.00 © 2005 IEEE  BHOJ AND KUSHNER: PLASMA – POLYMER INTERACTIONS IN A DIELECTRIC BARRIER DISCHARGE 251 Fig. 2. Electron avalanche during a single pulse in an atmospheric pressure DBD (log scale, cm ): the avalanche is initiated at the tip of the cathode andprogresses toward the polymer surface. Plasma penetrates into the surface features to a limited extent. cathode directed avalanche develops. When the avalancheintersects with the polymer, the plasma envelopes the surfacefeatures and enters into the depressions to a limited extent. Theelectron density in the features decreases over several ordersof magnitudes from the protruding tops of the strands to theinternal surfaces. The electron  fl ux at the head of the avalanchenegatively charges the surfaces of the features in advance of themain body. The penetration of the plasma into these features isretarded by the negative surface potential. Deeper penetrationof ions into the features enables radical and ion dependentsurface reactions to occur on at sites not directly exposed to theavalanche.R EFERENCES[1] M. Strobel, V. Jones, C. S. Lyons, M. Ulsh, M. J. Kushner, R. Dorai,and M. C. Branch,  “ A comparison of corona-treated and  fl ame-treatedpolypropylene  fi lms, ”  Plasmas Polymers , vol. 8, pp. 61 – 95, 2003.[2] A. Khacef, J. M. Cormier, and J. M. Pouvelse,  “    remediation inoxygen-rich exhaust gas using atmospheric pressure nonthermal plasmagenerated by a pulsed nanosecond dielectric barrier discharge, ”  J. Phys. D, Appl. Phys. , vol. 35, p. 1491, 2002.[3] Skyblue Systems Inc., Troy, NY. [Online][4] TecplotInc.,Bellevue,WA.[Online].Available:[5] Corel Corporation., Ottawa, ON, Canada. [Online]. Available:[6] Adobe Corporation., San Jose, CA. [Online]. Available:

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