Modeling of electronegative radio-frequency discharges

A continuum model is presented for low-pressure, radio-frequency electronegative discharges commonly encountered in reactive ion etching and plasma-deposition applications. The model is based on the moments of the Boltzmann transport equations. Local and convective acceleration terms are retained in the momentum equations for the electrons and ions as it allows nonlocal transport in weakly collisional regions. A stable numerical scheme to solve these equations is also presented. A chlorine discharge at 13.56 MHz is simulated as a case study. The simulation results reproduce features observed experimentally in Cl/sub 2/ discharges under similar conditions. Of particular importance is the simulated excitation and ionization waveforms. In the bulk, the waveforms peak twice per cycle, which is essentially due to the modulation of electron temperature; in the sheath regions, the waveforms peak only during the anodic part of the cycle when the electrons are accelerated toward the electrode. >

[1]  K. Blotekjaer Transport equations for electrons in two-valley semiconductors , 1970 .

[2]  K. Jensen,et al.  A Continuum Model of DC and RF Discharges , 1986, IEEE Transactions on Plasma Science.

[3]  V. M. Donnelly,et al.  Time‐dependent excitation in high‐ and low‐frequency chlorine plasmas , 1986 .

[4]  Evangelos Gogolides,et al.  Comparison of experimental measurements and model predictions for radio‐frequency Ar and SF6 discharges , 1989 .

[5]  Application of lbi techniques to the solution of the transient, multidimensional semiconductor equations , 1987 .

[6]  RF Discharge Modeling Through Solutions to the Moments of the Boltzmann Transport Equations , 1990 .

[7]  I. J. Morey,et al.  Self‐consistent simulation of a parallel‐plate rf discharge , 1988 .

[8]  J. P. Kreskovsky,et al.  Glow discharge simulation through solutions to the moments of the Boltzmann transport equation , 1990 .

[9]  J. Kramer The optogalvanic effect in a 13.56‐MHz chlorine discharge , 1986 .

[10]  M. L. Mandich,et al.  Time-resolved optical diagnostics of radio frequency plasmas , 1985 .

[11]  D. J. Economou,et al.  Analysis of low pressure rf glow discharges using a continuum model , 1990 .

[12]  R. Piejak,et al.  A Model for the Bulk Plasma in an RF Chlorne Discharge , 1986, IEEE Transactions on Plasma Science.

[13]  Bayle,et al.  Cathode region of a transitory discharge in CO2. I. Theory of the cathode region. , 1986, Physical review. A, General physics.

[14]  M. Elta,et al.  A staggered-mesh finite-difference numerical method for solving the transport equations in low pressure RF glow discharges , 1988 .

[15]  H. Sawin,et al.  Continuum modeling of argon radio frequency glow discharges , 1987 .

[16]  S. Selberherr Analysis and simulation of semiconductor devices , 1984 .

[17]  W. R. Briley,et al.  Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method , 1977 .

[18]  A continuum model for low‐pressure radio‐frequency discharges , 1991 .

[19]  D. Choi,et al.  A numerical simulation of rf glow discharge containing an electronegative gas composition , 1990 .