J W Bradley 1998 Plasma Sources Sci. Technol. 7 572 doi:10.1088/0963-0252/7/4/014
J W Bradley
Show affiliationsThis paper seeks to extend and improve upon an existing 1D isothermal model [1] for the cathode plasma boundary in magnetron discharges. Using an electron energy balance equation and treating the sheath as a source of electron heat flux, the plasma parameter profiles are solved in the pre-sheath, above the sputter trench. The cross-field transport of electrons is assumed to be dominated by Bohm diffusion (and mobility) in the mutually perpendicular electric and magnetic fields, while ions created by electron impact ionization fall directly to the cathode. Solutions show a fall in electron temperature with distance from the sheath-edge, with plasma densities rising by a factor of typically three or four from sheath-edge to plasma. This latter result is a departure from the normal prescription for Bohm sheath formation. Reasonable agreement between the model predictions and Langmuir probe measurements made in the region directly above the `race-track' sputter trench in a commercial magnetron show the usefulness of such simple models.
52.70.Ds Electric and magnetic measurements
Issue 4 (November 1998)
Received 20 April 1998, in final form 17 August 1998
J W Bradley 1998 Plasma Sources Sci. Technol. 7 572
S J Ji and Y Wang 2006 J. Phys.: Conf. Ser. 48 485
George F R Ellis 1999 Class. Quantum Grav. 16 A37
Dirk Helbing et al 2002 New J. Phys. 4 33
V V Slabko et al 1993 J. Phys.: Condens. Matter 5 7231
Ralph C Merkle 2000 Nanotechnology 11 89
David W Erickson et al 2005 J. Phys. A: Math. Gen. 38 L659
D A Adams et al J. Stat. Mech. (2008) P06009
N. Miller et al. 2009 ApJ 702 1413
D Sinden and G H M van der Heijden 2009 J. Phys. A: Math. Theor. 42 375207