Journal
ULTRAMICROSCOPY
Volume 109, Issue 4, Pages 373-378Publisher
ELSEVIER
DOI: 10.1016/j.ultramic.2009.01.006
Keywords
Field emitter; Enhancement factor; Electric field computation; Carbon tips
Categories
Funding
- National Science Council of Taiwan, Republic of China [NSC 95-2112-M-001-068-MY3]
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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. (C) 2009 Elsevier B.V. All rights reserved.
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