Field enhancement factor and field emission from a hemi-ellipsoidal metallic needle

Details Field enhancement factor and field emission from a hemi-ellipsoidal metallic needle Field enhancement factor and field emission from a hemi-ellipsoidal metallic needle

2008-04-08

arxiv.org/abs/0804.1195v2

Physics

Condensed Matter

Materials Science

7 pages, 8 figures

Scientific paper

We present an exact solution for the electrostatic field between a metallic hemi-ellipsoidal needle on a plate (as a cathode) and a flat anode. The basic idea is to replace the cathode by a linearly charged thread in a uniform electric field and to use a set of "image" charges to reproduce the anode. We calculate the field enhancement factor on the needle surface and ponderomotive force acting on the needle. Using the Fowler-Nordheim theory we obtain an exact analytical formula for the total current.

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