Numerical Modelling of 2D Field Emission from Silicon
Wedge Microcathode
V.A.Fedirko, Yu.N.Karamzin, S.V.Polyakov, I.G.Zakharova
The 2D mathematical model is developed for the process of a hot electron
field emission from the silicon wedge microcathode. To solve the considered
problem we elaborate the difference scheme using a new approach to the
construction of conservative monotone schemes for 2D parabolic second-order
equations with divergent form of the terms with first derivatives. The
difference solution holds the properties of differential one. The numerical
method is adapted to the multiprocessor station PARSYTEC CC. The 2D
distributions of electron density and temperature as well as electric field
distribution near the emitting surface are presented and discussed.