“…In addition to this electron emission mechanism, electrons can also be emitted under the presence of a strong electric field, i.e., field emissions can take place when the electric field on the cathode region becomes sufficiently large. 27 The electric field threshold for the onset of field emission from metal surfaces is typically on the order of ϳ10 9 V / m. For surfaces coated with carbon nanotubes ͑CNT͒ films, however, the threshold reduces to ϳ10 6 V / m, 28 which can be easily reached in microdischarges with hollow cathode structure. In this work, we incorporate the field emission process in the simulation by modeling the field emission current with the Fowler-Nordheim equation, [29][30][31] i.e., the current is assumed to depend exponentially on the value of the electric field.…”