Article ID Journal Published Year Pages File Type
1678577 Ultramicroscopy 2009 6 Pages PDF
Abstract

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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Physical Sciences and Engineering Materials Science Nanotechnology
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