H. Kolinsky et H. Schamel, ARBITRARY POTENTIAL DROPS BETWEEN COLLECTOR AND EMITTER IN PURE ELECTRON DIODES, Journal of Plasma Physics, 57, 1997, pp. 403-423
A novel Lagrangian integral formalism is applied to pure electron diod
es. analytical expressions are obtained in terms of the injected curre
nt and of the potential drop for two DC states. These two states are e
ither completely transmitted flows or flows with partial reflection at
a virtual cathode. Splitting rates and other quantities are presented
for arbitrary potentials.