Field emission from an elliptical boss: Exact versus approximate treatments
- 2 August 1993
- journal article
- Published by AIP Publishing in Applied Physics Letters
- Vol. 63 (5) , 702-704
- https://doi.org/10.1063/1.109934
Abstract
Field emission from tips, in comparison to planar surfaces, is complicated by current enhancement effects and changes in the image charge. We show that the approximations typically used for the calculation of the transmission coefficient are inappropriate for small spherical surfaces but adequate for elliptical surfaces. A simple analytical formula for the average emitting area may be derived based on the Fowler–Nordheim equation under conditions of field emission. By use of the elliptical approximation, a simple scale factor is sufficient to deal with spherical and pointed tips.Keywords
This publication has 10 references indexed in Scilit:
- Numerical simulation of field emission and tunneling: A comparison of the Wigner function and transmission coefficient approachesJournal of Applied Physics, 1993
- Simulation of field emission microtriodesIEEE Transactions on Electron Devices, 1993
- Physical basis for applying the Fowler–Nordheim J–E relationship to experimental I–V dataJournal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, 1993
- Numerical simulation of field emission from siliconJournal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, 1993
- Analysis of field emission from three-dimensional structuresApplied Physics Letters, 1992
- Atomically sharp silicon and metal field emittersIEEE Transactions on Electron Devices, 1991
- Generalization of Fowler–Nordheim field emission theory for nonplanar metal emittersApplied Physics Letters, 1991
- Derivation of the image interaction for non-planar pointed emitter geometries: application to field emission I–V characteristicsSurface Science, 1991
- Vacuum microelectronics: what's new and excitingIEEE Transactions on Electron Devices, 1991
- Physical properties of thin-film field emission cathodes with molybdenum conesJournal of Applied Physics, 1976