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P1-28: Use, in Fowler-Nordheim-type equations, of accurate solution of the schrödinger equation for the schottky-nordheim barrier

Mayer, A, Deane, JHB and Forbes, RG (2010) P1-28: Use, in Fowler-Nordheim-type equations, of accurate solution of the schrödinger equation for the schottky-nordheim barrier In: 23rd IVNC, 2010-07-26 - 2010-07-30, Palo Alto, USA.

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Abstract

The Schottky-Nordheim (SN) barrier is used in the "standard" theory of cold field electron emission (CFE) developed by Murphy and Good in 1956. For the SN barrier, it is mathematically impossible to derive analytical solutions of the Schrödinger equation in terms of the common functions of mathematical physics. Existing simple analytical CFE theories are based on so-called "quasi-classical" quantum-mechanical methods, typically a JWKB-type approximation. Recently, numerical methods have been applied to the SN barrier that should generate accurate solutions for the transmission coefficient DT. This poster is a "tidy-up" exercise that explores quantitatively how these accurate solutions put correction factors into Fowler-Nordheim-type equations.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Authors :
NameEmailORCID
Mayer, AUNSPECIFIEDUNSPECIFIED
Deane, JHBj.deane@surrey.ac.ukUNSPECIFIED
Forbes, RGr.forbes@surrey.ac.ukUNSPECIFIED
Date : 26 July 2010
Identification Number : https://doi.org/10.1109/IVNC.2010.5563168
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 11:57
Last Modified : 17 May 2017 15:00
URI: http://epubs.surrey.ac.uk/id/eprint/833364

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