Numerical Simulations of the Partially-ionized Gas in a 100-A LaB6 Hollow Cathode

Numerical simulations of a hollow cathode with a LaB6 emitter operating at 100 A have been performed for the first time using the 2-D Orificed Cathode (OrCa2D) code. Results for a variety of plasma properties are presented and compared with laboratory measurements. The large size of the device permits peak electron number densities in the cathode interior that are lower than those established in the NSTAR hollow cathode, which operates at a 7.3 lower discharge current and 3.2 lower mass flow rate. The maximum electron current density also is lower in the LaB6 cathode, by 4.2, due to the larger orifice size. Simulations and direct measurements show that at 12 sccm of xenon flow the peak emitter temperature is in the range of 1630-1666 o C. It is also found that the conditions for the excitement of current-driven streaming instabilities and ion-acoustic turbulence (IAT) are satisfied in this cathode, similarly to what was found in the past in its smaller counterparts like the NSTAR cathode. Based on numerical simulations, it has long been argued that these instabilities may be responsible for the anomalously large ion energies that have been measured in these discharges as well as for the enhancement of the plasma resistivity. Direct measurements of the turbulent spectra and confirmation of the presence of IAT in this cathode are presented for the first time in a companion paper. Interpolation of the measured anomalous collision frequency based on slightly different operating conditions than the one in the numerical simulations suggests good agreement with the computed values.