A radio-frequency sheath boundary condition and its effect on slow wave propagation

Predictive modeling of radio-frequency wave propagation in high-power fusion experiments requires accounting for nonlinear losses of wave energy in the plasma edge and at the wall. An important mechanism of “anomalous” power losses is the acceleration of ions into the walls by rf sheath potentials. Previous work computed the “sheath power dissipation” non-self-consistently by postprocessing fields obtained as the solution of models which did not retain sheaths. Here, a method is proposed for a self-consistent quantitative calculation of sheath losses by incorporating a sheath boundary condition (SBC) in antenna coupling and wave propagation codes. It obtains the self-consistent sheath potentials and spatial distribution of the time-averaged power loss in the solution for the linear rf fields. It can be applied for ion cyclotron and (in some cases) lower hybrid waves. The use of the SBC is illustrated by applying it to the problem of an electron plasma wave propagating in a waveguide. This model problem is...

[1]  D. D'Ippolito,et al.  Three-dimensional analysis of antenna sheaths , 1996 .

[2]  L. Colas,et al.  Edge plasma density convection during ion cyclotron resonance heating on Tore Supra , 2002 .

[3]  H. S. Butler,et al.  Plasma Sheath Formation by Radio‐Frequency Fields , 1963 .

[4]  D. A. D’Ippolito,et al.  Far field sheaths from waves in the ion cyclotron range of frequencies , 1994 .

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

[6]  Myra,et al.  Sheath-plasma waves and anomalous loading in ion-Bernstein-wave experiments. , 1991, Physical review letters.

[7]  T. Intrator,et al.  Three-dimensional finite-element model of the ion Bernstein wave antenna and excitation of coaxial electrostatic edge modes in the tokamak fusion test reactor , 2003 .

[8]  D. Russell,et al.  Coaxial mode excitation and dissipation in ion Bernstein wave experiments , 2000 .

[9]  Erwin Frederick Jaeger,et al.  Power deposition in high-density inductively coupled plasma tools for semiconductor processing , 1995 .

[10]  N. Hershkowitz,et al.  The Phaedrus-T antenna system , 1994 .

[11]  P. M. Ryan,et al.  Modelling of mixed-phasing antenna–plasma interactions on JET A2 antennas , 2002 .

[12]  G. Oost,et al.  Effect of RF heating on DC electric fields in the SOL of TEXTOR , 1990 .

[13]  R. Mitteau,et al.  Key results of long pulse ICRH operation in Tore Supra , 2006 .

[14]  Sternberg,et al.  Dynamic model of the electrode sheaths in symmetrically driven rf discharges. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[15]  R. Cohen,et al.  MHD and Fluid Instabilities at the Plasma Edge in the Presence of a Separatrix and X‐Point , 2000 .

[16]  G. Oost,et al.  Experimental evidence for sheath effects at the ICRF antenna and ensuing changes in the plasma boundary during ICRF on textor , 1989 .

[17]  N. Hershkowitz,et al.  Edge power deposition reduction in a tokamak by replacing the Faraday screen on an RF antenna with an insulator , 1996 .

[18]  A. Becoulet,et al.  Hot spot phenomena on Tore Supra ICRF antennas investigated by optical diagnostics , 2003 .

[19]  Mark Dwain Carter,et al.  Combined rf and transport effects in magnetized capacitive discharges , 2006 .

[20]  D. D'Ippolito,et al.  Low‐power fast wave antenna loading as a radio‐frequency sheath diagnostic , 1996 .

[21]  J. Jacquinot,et al.  Radio‐frequency‐sheath‐driven edge plasma convection and interaction with the H mode , 1993 .

[22]  D. D'Ippolito,et al.  Faraday screen sheaths and impurity production during ion cyclotron heating , 1990 .

[23]  J. Jacquinot,et al.  A model of sheath-driven impurity production by ICRF antennas , 1991 .

[24]  R. Chodura Modelling of the plasma at the Faraday screen of an ICRH antenna , 1990 .

[25]  D. Russell,et al.  Nonlinear ICRF-plasma interactions , 2005 .

[26]  F. W. Perkins,et al.  Radiofrequency sheaths and impurity generation by ICRF antennas , 1989 .