期刊
IEEE TRANSACTIONS ON ELECTRON DEVICES
卷 57, 期 3, 页码 712-719出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TED.2009.2039262
关键词
Ellipsoid emitter; field emission; field emission displays; spheroidal emitter
资金
- National Science Foundation [DMR-0304508]
- Air Force Office of Sponsored Research [F49620-02-1-0359-P00001]
This paper presents new equations that describe ellipsoidal field emitters in both ellipsoidal and Cartesian coordinates. Expressions are found for the potential, electric field, and field enhancement at any point in space. For both ellipsoidal and spheroidal emitters, equations are given to determine field emission current density and total current. It is also shown that the field enhancement at the surface of a spheroidal emitter is purely dependent on the surface location and the emitter's height to radius aspect ratio. Furthermore, simplified equations are given to approximate the field enhancement and total current for prolate spheroidal emitters of height to radius ratios greater than 100.
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