Capacitive Discharges Driven by Combined DC/RF Sources

ORAL

Abstract

The performance of low pressure rf capacitive discharge reactors can be modified by applying an auxiliary dc power source to a reactor electrode. The dc source induces a dc current flow through the plasma and alters the sheath voltages and widths. This can increase the plasma density and etch rate. These effects may be ascribed to an enhanced density of high energy secondary electrons in the discharge due to the alteration of the sheath voltages. We have obtained analytic expressions for the sheath voltages and sheath widths for both collisional and collisionless sheaths driven by a combination of dc and rf voltage sources. The analysis is done for both symmetric (equal area) and asymmetric diode discharges, as well as a triode configuration. The analytical results for the symmetric and asymmetric diode discharges are compared to the results of numerical simulations using plane-parallel and cylindrical 1d3v (one-dimensional displacement, three velocity components) particle-in-cell (PIC) codes over a wide range of pressures and rf frequencies, finding good agreement. Secondary electron dynamics and energy distributions are also examined; these yield increased discharge efficiency. The uniformity of the secondary electron and ion fluxes at the target electrode are also examined with a series of two-dimensional (2D3v) PIC simulations.

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Authors

  • Michael Lieberman

    UC Berkeley

  • John B. Boffard

    Nagoya University, Nagoya Univ., NU-Eco Eng, Meijo Univ., Aichi Inst. Tech., Tohoku Univ., Univ.of Tokyo, Saitama Univ., Saitama Small Enterprise Prom. Corp., Dept. of Biomed. Eng., Musashi Inst. of Technol., Air Force Research Laboratory, WPAFB, OH, WVU, Morgantown, WV, Department of Physics, Old Dominion University, Technische Universiteit Eindhoven, Institut f\'ur Niedertemperatur Plasmaphysik, Greifswald, Germany, Eindhoven University of Technology, Eindhoven, The Netherlands, Dept. of Physics, Sardar Patel University, Vallabh Vidyanagar, School of EPS - Chemistry, Heriot-Watt University, UK, School of Pharmacy and iEPSAM, Keele University, UK, School of Pharmacy, University of Nottingham, UK, Plasma \& Surface Analysis Division, Hiden Analytical Ltd., UK, Institute of Physics, Belgrade, Serbia, School of Electrical Engineering, Belgrade, Serbia, Katagiri Engineering, Meijo University, Dong-A University, UES, Dayton, OH, AFRL, Wright-Patterson AFB, OH, St. Petersburg State University, St. Petersburg, Russia, West Virginia University, Charles University in Prague, Institute of Physics of the Academy of Sciences of the Czech Republic, v. v. i., USTHB, LECTCM, PO. Box 32 El Alia, BabEzzouar, Algiers, Algeria, CDTA, Department of Physics, Old Dominion University, Norfolk, VA, Air Force Research Laboratory, Wright-Patterson AFB, OH, Innovative Scientific Solutions, Inc., Dayton, OH, Department of Physics, KAIST and Courant Institute, NYU, Department of Physics, KAIST, Centre for Antimatter-Matter Studies, Australian National University, Canberra, Centre for Antimatter-Matter Studies, SoCPES, Flinders University, Adelaide, Australia, Center for Plasma Science and Technology, Ruhr University Bochum, Germany, University of Missouri-Rolla, Los Alamos National Laboratory, Australian National University, Max-Planck-Institute for Nuclear Physics, Applied Materials, Sandia National Laboratories, Lam Research Corporation, UC Berkeley, Prometheus Energy Company, Army Research Laboratory, Smithsonian Astrophysical Observatory, University of Pittsburgh, University of Wisconsin-Madison, Berkeley Research Associates, Commonwealth Technologies, Inc., Naval Research Laboratory, Philips Lighting (CDL), Eindhoven, The Netherlands, Sekisui Chemical Co., Ltd., Faculty of Systems Engineering, Wakayama University, Department of Electrical Engineering, Nagoya University, Ruhr-University Bochum, Germany, Queens University Belfast, Northern Ireland, Katagiri Engineering Co., Ltd., NU EcoEngineering Co., Ltd., NU System Co., Ltd., Wakayama University, Department of Physics, California State University, Fullerton, CA 92834, USA, Jet Propulsion Laboratory, Caltech, MS 183-601, 4800 Oak Grove Drive, Pasadena, CA 91109, USA, Old Dominion University, NIE and Institute of Advanced Studies, Nanyang Technological University, The University of Texas at Austin, Department of Physics, Indian Institute of Technology, Roorkee - 247667, India, Tokyo Institute of Technology, Ruhr-University Bochum, 44780 Bochum, Germany, University of Antwerpen, B-2020 Antwerpen, Belgium, Institute of Theoretical and Applied Mechanics, 630090 Novosibirsk, Russia, Tokyo Electron, Hokkaido University, OSRAM GmbH, Munich, Germany, INP Greifswald, Germany, Departamento de Fisica, Universidade da Madeira, Largo do Municipio, 9000 Funchal, Portugal, Ruhr-University Bochum, RSPhysSE, ANU, Australia, Ruhr University Bochum, Germany, Queen's University Belfast, Northern Ireland, Ecole Polytechnique, France, Nanotechnology Research Institute, University of Ulster, Newtownabbey, Institute for Plasma and Atomic Physics, Ruhr-University Bochum, Germany, DF, UM, Braga, Auburn University, Research group PLASMANT, Dep. of Chemistry, University of Antwerp, Belgium, Open University, University of Glasgow, Dept. of Physics \& Astronomy, Kelvin Building, University of Glasgow, G12 8QQ, UK, EM2C, Ecole Centrale, LPTP, Ecole Polytechnique, France, State University, St Petersburg, INP-Greifswald, Ecole Polytechnique, Queen`s University Belfast, Institute of Physics Belgrade, University of Ulster, University of Duisburg-Essen, Applied Materials, Inc., LPTP, Ecole Polytechnique, Kyoto University, Center for Plasma Science and Technology, Ruhr-Universtity Bochum, Germany, Centre for Plasma Physics, Queen's University Belfast, Northern Ireland, University of Minnesota, Dublin City University, Institute for Theoretical Electrical Engineering, Ruhr-University Bochum, Institute for Plasma and Atomic Physics, Ruhr-University Bochum, National Centre for Plasma Science and Technology, Dublin City University, Ireland, Centre for Plasma Science and Technology, Ruhr University Bochum, Germany, University of Manchester

  • John B. Boffard

    Nagoya University, Nagoya Univ., NU-Eco Eng, Meijo Univ., Aichi Inst. Tech., Tohoku Univ., Univ.of Tokyo, Saitama Univ., Saitama Small Enterprise Prom. Corp., Dept. of Biomed. Eng., Musashi Inst. of Technol., Air Force Research Laboratory, WPAFB, OH, WVU, Morgantown, WV, Department of Physics, Old Dominion University, Technische Universiteit Eindhoven, Institut f\'ur Niedertemperatur Plasmaphysik, Greifswald, Germany, Eindhoven University of Technology, Eindhoven, The Netherlands, Dept. of Physics, Sardar Patel University, Vallabh Vidyanagar, School of EPS - Chemistry, Heriot-Watt University, UK, School of Pharmacy and iEPSAM, Keele University, UK, School of Pharmacy, University of Nottingham, UK, Plasma \& Surface Analysis Division, Hiden Analytical Ltd., UK, Institute of Physics, Belgrade, Serbia, School of Electrical Engineering, Belgrade, Serbia, Katagiri Engineering, Meijo University, Dong-A University, UES, Dayton, OH, AFRL, Wright-Patterson AFB, OH, St. Petersburg State University, St. Petersburg, Russia, West Virginia University, Charles University in Prague, Institute of Physics of the Academy of Sciences of the Czech Republic, v. v. i., USTHB, LECTCM, PO. Box 32 El Alia, BabEzzouar, Algiers, Algeria, CDTA, Department of Physics, Old Dominion University, Norfolk, VA, Air Force Research Laboratory, Wright-Patterson AFB, OH, Innovative Scientific Solutions, Inc., Dayton, OH, Department of Physics, KAIST and Courant Institute, NYU, Department of Physics, KAIST, Centre for Antimatter-Matter Studies, Australian National University, Canberra, Centre for Antimatter-Matter Studies, SoCPES, Flinders University, Adelaide, Australia, Center for Plasma Science and Technology, Ruhr University Bochum, Germany, University of Missouri-Rolla, Los Alamos National Laboratory, Australian National University, Max-Planck-Institute for Nuclear Physics, Applied Materials, Sandia National Laboratories, Lam Research Corporation, UC Berkeley, Prometheus Energy Company, Army Research Laboratory, Smithsonian Astrophysical Observatory, University of Pittsburgh, University of Wisconsin-Madison, Berkeley Research Associates, Commonwealth Technologies, Inc., Naval Research Laboratory, Philips Lighting (CDL), Eindhoven, The Netherlands, Sekisui Chemical Co., Ltd., Faculty of Systems Engineering, Wakayama University, Department of Electrical Engineering, Nagoya University, Ruhr-University Bochum, Germany, Queens University Belfast, Northern Ireland, Katagiri Engineering Co., Ltd., NU EcoEngineering Co., Ltd., NU System Co., Ltd., Wakayama University, Department of Physics, California State University, Fullerton, CA 92834, USA, Jet Propulsion Laboratory, Caltech, MS 183-601, 4800 Oak Grove Drive, Pasadena, CA 91109, USA, Old Dominion University, NIE and Institute of Advanced Studies, Nanyang Technological University, The University of Texas at Austin, Department of Physics, Indian Institute of Technology, Roorkee - 247667, India, Tokyo Institute of Technology, Ruhr-University Bochum, 44780 Bochum, Germany, University of Antwerpen, B-2020 Antwerpen, Belgium, Institute of Theoretical and Applied Mechanics, 630090 Novosibirsk, Russia, Tokyo Electron, Hokkaido University, OSRAM GmbH, Munich, Germany, INP Greifswald, Germany, Departamento de Fisica, Universidade da Madeira, Largo do Municipio, 9000 Funchal, Portugal, Ruhr-University Bochum, RSPhysSE, ANU, Australia, Ruhr University Bochum, Germany, Queen's University Belfast, Northern Ireland, Ecole Polytechnique, France, Nanotechnology Research Institute, University of Ulster, Newtownabbey, Institute for Plasma and Atomic Physics, Ruhr-University Bochum, Germany, DF, UM, Braga, Auburn University, Research group PLASMANT, Dep. of Chemistry, University of Antwerp, Belgium, Open University, University of Glasgow, Dept. of Physics \& Astronomy, Kelvin Building, University of Glasgow, G12 8QQ, UK, EM2C, Ecole Centrale, LPTP, Ecole Polytechnique, France, State University, St Petersburg, INP-Greifswald, Ecole Polytechnique, Queen`s University Belfast, Institute of Physics Belgrade, University of Ulster, University of Duisburg-Essen, Applied Materials, Inc., LPTP, Ecole Polytechnique, Kyoto University, Center for Plasma Science and Technology, Ruhr-Universtity Bochum, Germany, Centre for Plasma Physics, Queen's University Belfast, Northern Ireland, University of Minnesota, Dublin City University, Institute for Theoretical Electrical Engineering, Ruhr-University Bochum, Institute for Plasma and Atomic Physics, Ruhr-University Bochum, National Centre for Plasma Science and Technology, Dublin City University, Ireland, Centre for Plasma Science and Technology, Ruhr University Bochum, Germany, University of Manchester

  • John B. Boffard

    Nagoya University, Nagoya Univ., NU-Eco Eng, Meijo Univ., Aichi Inst. Tech., Tohoku Univ., Univ.of Tokyo, Saitama Univ., Saitama Small Enterprise Prom. Corp., Dept. of Biomed. Eng., Musashi Inst. of Technol., Air Force Research Laboratory, WPAFB, OH, WVU, Morgantown, WV, Department of Physics, Old Dominion University, Technische Universiteit Eindhoven, Institut f\'ur Niedertemperatur Plasmaphysik, Greifswald, Germany, Eindhoven University of Technology, Eindhoven, The Netherlands, Dept. of Physics, Sardar Patel University, Vallabh Vidyanagar, School of EPS - Chemistry, Heriot-Watt University, UK, School of Pharmacy and iEPSAM, Keele University, UK, School of Pharmacy, University of Nottingham, UK, Plasma \& Surface Analysis Division, Hiden Analytical Ltd., UK, Institute of Physics, Belgrade, Serbia, School of Electrical Engineering, Belgrade, Serbia, Katagiri Engineering, Meijo University, Dong-A University, UES, Dayton, OH, AFRL, Wright-Patterson AFB, OH, St. Petersburg State University, St. Petersburg, Russia, West Virginia University, Charles University in Prague, Institute of Physics of the Academy of Sciences of the Czech Republic, v. v. i., USTHB, LECTCM, PO. Box 32 El Alia, BabEzzouar, Algiers, Algeria, CDTA, Department of Physics, Old Dominion University, Norfolk, VA, Air Force Research Laboratory, Wright-Patterson AFB, OH, Innovative Scientific Solutions, Inc., Dayton, OH, Department of Physics, KAIST and Courant Institute, NYU, Department of Physics, KAIST, Centre for Antimatter-Matter Studies, Australian National University, Canberra, Centre for Antimatter-Matter Studies, SoCPES, Flinders University, Adelaide, Australia, Center for Plasma Science and Technology, Ruhr University Bochum, Germany, University of Missouri-Rolla, Los Alamos National Laboratory, Australian National University, Max-Planck-Institute for Nuclear Physics, Applied Materials, Sandia National Laboratories, Lam Research Corporation, UC Berkeley, Prometheus Energy Company, Army Research Laboratory, Smithsonian Astrophysical Observatory, University of Pittsburgh, University of Wisconsin-Madison, Berkeley Research Associates, Commonwealth Technologies, Inc., Naval Research Laboratory, Philips Lighting (CDL), Eindhoven, The Netherlands, Sekisui Chemical Co., Ltd., Faculty of Systems Engineering, Wakayama University, Department of Electrical Engineering, Nagoya University, Ruhr-University Bochum, Germany, Queens University Belfast, Northern Ireland, Katagiri Engineering Co., Ltd., NU EcoEngineering Co., Ltd., NU System Co., Ltd., Wakayama University, Department of Physics, California State University, Fullerton, CA 92834, USA, Jet Propulsion Laboratory, Caltech, MS 183-601, 4800 Oak Grove Drive, Pasadena, CA 91109, USA, Old Dominion University, NIE and Institute of Advanced Studies, Nanyang Technological University, The University of Texas at Austin, Department of Physics, Indian Institute of Technology, Roorkee - 247667, India, Tokyo Institute of Technology, Ruhr-University Bochum, 44780 Bochum, Germany, University of Antwerpen, B-2020 Antwerpen, Belgium, Institute of Theoretical and Applied Mechanics, 630090 Novosibirsk, Russia, Tokyo Electron, Hokkaido University, OSRAM GmbH, Munich, Germany, INP Greifswald, Germany, Departamento de Fisica, Universidade da Madeira, Largo do Municipio, 9000 Funchal, Portugal, Ruhr-University Bochum, RSPhysSE, ANU, Australia, Ruhr University Bochum, Germany, Queen's University Belfast, Northern Ireland, Ecole Polytechnique, France, Nanotechnology Research Institute, University of Ulster, Newtownabbey, Institute for Plasma and Atomic Physics, Ruhr-University Bochum, Germany, DF, UM, Braga, Auburn University, Research group PLASMANT, Dep. of Chemistry, University of Antwerp, Belgium, Open University, University of Glasgow, Dept. of Physics \& Astronomy, Kelvin Building, University of Glasgow, G12 8QQ, UK, EM2C, Ecole Centrale, LPTP, Ecole Polytechnique, France, State University, St Petersburg, INP-Greifswald, Ecole Polytechnique, Queen`s University Belfast, Institute of Physics Belgrade, University of Ulster, University of Duisburg-Essen, Applied Materials, Inc., LPTP, Ecole Polytechnique, Kyoto University, Center for Plasma Science and Technology, Ruhr-Universtity Bochum, Germany, Centre for Plasma Physics, Queen's University Belfast, Northern Ireland, University of Minnesota, Dublin City University, Institute for Theoretical Electrical Engineering, Ruhr-University Bochum, Institute for Plasma and Atomic Physics, Ruhr-University Bochum, National Centre for Plasma Science and Technology, Dublin City University, Ireland, Centre for Plasma Science and Technology, Ruhr University Bochum, Germany, University of Manchester