Electric potential of a metallic nanowall between cathode and anode planes

TL;DR

This paper derives an exact analytical expression for the electric potential around a nanowall between cathode and anode, considering finite distances, and validates it against finite-element simulations.

Contribution

It provides a novel exact solution for the electric potential in a nanowall system with finite cathode-anode distance, useful for electron emission applications.

Findings

Exact potential expression derived and validated

Finite cathode-anode distance effects included

Analytical results agree with finite-element simulations

Abstract

We obtained the exact expression of the electric potential in the space around a nanowall that is vertically mounted on a planar cathode. The system is designed as a cold field electron emitter or an electron tunneling line scanner. The finite cathode-anode distance has been taking into account. The analytical results are compared with that obtained by the finite- element method.