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Physics-based derivation of a formula for the mutual depolarisation of two post-like field emitters

Dall'Agnol, Fernando F, de Assis, Thiago A and Forbes, Richard (2018) Physics-based derivation of a formula for the mutual depolarisation of two post-like field emitters Journal of Physics: Condensed Matter, 30 (37), 375703.

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Abstract

Recent analyses of the apex field enhancement factor (FEF) for many forms of field emitter have revealed that the depolarization effect is more persistent with respect to the separation between the emitters than originally assumed. It has been shown that, at sufficiently large separations, the fractional reduction of the FEF decays with the inverse cube power of separation, rather than exponentially. The behavior of the fractional reduction of the FEF encompassing both the range of technological interest (c being the separation and h is the height of the emitters) and large separations () has not been predicted by the existing formulas in field emission literature, for post-like emitters of any shape. In this work, we use first principles to derive a simple two-parameter formula for fractional reduction that can be useful for experimentalists for modeling and interpreting the FEFs for small clusters of emitters or arrays at separations of interest. For the structures tested, the agreement between numerical and analytical data is  ~1%.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Dall'Agnol, Fernando F
de Assis, Thiago A
Forbes, RichardR.Forbes@surrey.ac.uk
Date : 22 August 2018
DOI : 10.1088/1361-648X/aad84c
Copyright Disclaimer : © 2018 IOP Publishing Ltd.
Depositing User : Melanie Hughes
Date Deposited : 02 Oct 2018 14:22
Last Modified : 14 Jun 2019 14:13
URI: http://epubs.surrey.ac.uk/id/eprint/849491

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