Evaluation of current density distribution of field emitted electrons by numerical simulation in conjunction with analytical approach

Evaluation of the current density distribution of the electron beam emitted from the volcano-structured, double gated Spindt-type field emitter arrays were performed by numerical simulation in conjunction with analytical approach. By assuming the emitter shape as a part of a hyperboloid, the electric field near the emitter surface could be well estimated even by finite difference method. It was found that the gate height is important to maintain the current density.