H. Amemiya et al., THE DOUBLE SHEATH ASSOCIATED WITH ELECTRON-EMISSION INTO A PLASMA CONTAINING NEGATIVE-IONS, Journal of Plasma Physics, 60, 1998, pp. 81-93
The double sheath formed by thermal electrons and negative ions in a p
lasma and electrons emitted from an electrode is investigated. The ion
energy at the sheath edge and the electric field at the electrode sur
face are calculated for several values of the ratio of negative-ion de
nsity to electron density. The maximum beam density above which a virt
ual cathode appears is given. The relation to the Langmuir limit is sh
own. The numerical results for the electric potential, the electric fi
eld and the space charge density are presented. The floating potential
is calculated from the current balance of all components.