PIC simulations of the separate control of ion flux and energy in CCRF discharges via the electrical asymmetry effect

Recently a novel approach for achieving separate control of ion flux and energy in capacitively coupled radio frequency (CCRF) discharges based on the electrical asymmetry effect (EAE) was proposed (Heil et al 2008 J. Phys. D: Appl. Phys. 41 165202). If the applied, temporally symmetric voltage waveform contains an even harmonic of the fundamental frequency, the sheaths in front of the two electrodes are necessarily asymmetric. A dc self-bias develops and is a function of the phase angle between the driving voltages. By tuning the phase, precise and convenient control of the ion energy can be achieved while the ion flux stays constant. This effect works even in geometrically symmetric discharges and the role of the two electrodes can be reversed electrically. In this work the EAE is verified using a particle in cell simulation of a geometrically symmetric dual-frequency CCRF discharge operated at 13.56 and 27.12MHz. The self-bias is a nearly linear function of the phase angle. It is shown explicitly that the ion flux stays constant within ±5%, while the self-bias reaches values of up to 80% of the applied voltage amplitude and the maximum ion energy is changed by a factor of 3 for a set of low pressure discharge conditions investigated. The EAE is investigated at different pressures and electrode gaps. As geometrically symmetric discharges can be made electrically asymmetric via the EAE, the plasma series resonance effect is observed for the first time in simulations of a geometrically symmetric discharge. (Some figures in this article are in colour only in the electronic version)

[1]  M. Turner,et al.  Collisionless heating in capacitive discharges enhanced by dual-frequency excitation. , 2006, Physical review letters.

[2]  A. Ellingboe,et al.  Independent control of ion current and ion impact energy onto electrodes in dual frequency plasma devices , 2004 .

[3]  U. Czarnetzki,et al.  A hybrid, one-dimensional model of capacitively coupled radio-frequency discharges , 2008 .

[4]  R. Boswell,et al.  Numerical modeling of low-pressure RF plasmas , 1990 .

[5]  L. Alves,et al.  Systematic characterization of low-pressure capacitively coupled hydrogen discharges , 2004 .

[6]  T. Makabe,et al.  Study of the structure of radio frequency glow discharges in CH4 and H2 by spatiotemporal optical emission spectroscopy , 1992 .

[7]  G. Franz,et al.  Innovative plasma diagnostics and control of process in reactive low-temperature plasmas , 1998 .

[8]  S. Rauf,et al.  Nonlinear dynamics of radio frequency plasma processing reactors powered by multifrequency sources , 1999 .

[9]  D. Vender,et al.  Collisionless electron heating by capacitive rf sheaths. , 2001, Physical review letters.

[10]  U. Czarnetzki,et al.  Electron beams in asymmetric capacitively coupled radio frequency discharges at low pressures , 2008 .

[11]  T. Makabe,et al.  Functional separation in two frequency operation of an inductively coupled plasma , 2004 .

[12]  R. Faulkner,et al.  Frequency coupling in dual frequency capacitively coupled radio-frequency plasmas , 2006 .

[13]  N. Babaeva,et al.  Ion energy distribution control in single and dual frequency capacitive plasma sources , 2005 .

[14]  T. Makabe,et al.  Study of the structure in rf glow discharges in SiH4/H2 by spatiotemporal optical emission spectroscopy: Influence of negative ions , 1990 .

[15]  U. Czarnetzki,et al.  Different modes of electron heating in dual-frequency capacitively coupled radio frequency discharges , 2009 .

[16]  U. Czarnetzki,et al.  Diagnostics of the plasma series resonance effect in radio-frequency discharges , 2007 .

[17]  U. Czarnetzki,et al.  Stochastic heating in asymmetric capacitively coupled RF discharges , 2008 .

[18]  Y. Horiike,et al.  Development and Plasma Characteristics Measurement of Planar-Type Magnetic Neutral Loop Discharge Etcher , 1998 .

[19]  Boeuf,et al.  Transition between different regimes of rf glow discharges. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[20]  I. Kaganovich Anomalous capacitive sheath with deep radio-frequency electric-field penetration. , 2002, Physical review letters.

[21]  Hopkins,et al.  Anomalous sheath heating in a low pressure rf discharge in nitrogen. , 1992, Physical review letters.

[22]  A. Ellingboe,et al.  Electrostatic modelling of dual frequency rf plasma discharges , 2004 .

[23]  A. Lichtenberg,et al.  Principles of Plasma Discharges and Materials Processing , 1994 .

[24]  A. Lichtenberg,et al.  The effects of nonlinear series resonance on Ohmic and stochastic heating in capacitive discharges , 2008 .

[25]  A. Ellingboe,et al.  Space and phase resolved plasma parameters in an industrial dual-frequency capacitively coupled radio-frequency discharge , 2007 .

[26]  A. Lichtenberg,et al.  Stochastic heating in single and dual frequency capacitive discharges , 2006 .

[27]  A. Phelps,et al.  Cold-cathode discharges and breakdown in argon: surface and gas phase production of secondary electrons , 1999 .

[28]  M. Klick Nonlinearity of the radio‐frequency sheath , 1996 .

[29]  Graves,et al.  Electron acoustic waves in capacitively coupled, low-pressure rf glow discharges. , 1991, Physical review letters.

[30]  A. Lichtenberg,et al.  Enhancement of ohmic and stochastic heating by resonance effects in capacitive radio frequency discharges: a theoretical approach. , 2008, Physical Review Letters.

[31]  U. Czarnetzki,et al.  Self-excitation of the plasma series resonance in radio-frequency discharges: An analytical description , 2006 .

[32]  Turner Pressure heating of electrons in capacitively coupled rf discharges. , 1995, Physical review letters.

[33]  R. Brinkmann,et al.  Nonlinear dynamics of dual frequency capacitive discharges: a global model matched to an experiment , 2008 .

[34]  Michael A. Lieberman,et al.  From Fermi acceleration to collisionless discharge heating , 1998 .

[35]  U. Czarnetzki,et al.  Electron Beams in Capacitively Coupled Radio-Frequency Discharges , 2008, IEEE Transactions on Plasma Science.

[36]  U. Czarnetzki,et al.  Numerical Modeling of Electron Beams Accelerated by the Radio Frequency Boundary Sheath , 2008, IEEE Transactions on Plasma Science.

[37]  R. Brinkmann,et al.  Numerical investigation of dual frequency capacitively coupled hydrogen plasmas , 2005 .

[38]  U. Czarnetzki,et al.  On the possibility of making a geometrically symmetric RF-CCP discharge electrically asymmetric , 2008 .

[39]  U. Czarnetzki,et al.  Space and time resolved electric field measurements in helium and hydrogen RF-discharges , 1999 .

[40]  A. Lichtenberg,et al.  Principles of Plasma Discharges and Materials Processing: Lieberman/Plasma 2e , 2005 .

[41]  R. Brinkmann Beyond the step model: Approximate expressions for the field in the plasma boundary sheath , 2007 .

[42]  T. Kitajima Functional separation of biasing and sustaining voltages in two-frequency capacitively coupled plasma , 2000 .

[43]  Michael A. Lieberman,et al.  Analytical solution for capacitive RF sheath , 1988 .

[44]  Z. Donkó,et al.  Analysis of a Capacitively Coupled Dual-Frequency CF4 Discharge , 2006 .

[45]  Benjamin Alexandrovich,et al.  Measurement of electron energy distribution in low-pressure RF discharges , 1992 .

[46]  P. Awakowicz,et al.  Heating of a dual frequency capacitively coupled plasma via the plasma series resonance , 2007 .

[47]  V. S. Gathen,et al.  Spectroscopic measurements of phase-resolved electron energy distribution functions in RF-excited discharges , 2004 .

[48]  R. Brinkmann,et al.  Nonlinear plasma dynamics in capacitive radio frequency discharges , 2007 .

[49]  U. Czarnetzki,et al.  Electric field reversals in the sheath region of capacitively coupled radio frequency discharges at different pressures , 2008 .

[50]  A. V. Phelps,et al.  The application of scattering cross sections to ion flux models in discharge sheaths , 1994 .

[51]  M. Lieberman,et al.  Electron-beam probe measurements of electric fields in rf discharges , 1990 .

[52]  R. Boswell,et al.  Electron-sheath interaction in capacitive radio-frequency plasmas , 1992 .

[53]  R. Brinkmann,et al.  Nonlinear electron resonance heating in capacitive radio frequency discharges , 2006 .

[54]  M. Itoh,et al.  Usefulness of Magnetic Neutral Loop Discharge Plasma in Plasma Processing , 1995 .