Schottky’s conjecture, field emitters, and the point charge model | Zendy

Kevin L. Jensen | Zendy; D. Shiffler | Zendy; J. R. Harris | Zendy; John Petillo | Zendy

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Schottky’s conjecture, field emitters, and the point charge model

Author(s) -

Kevin L. Jensen,

D. Shiffler,

J. R. Harris,

John Petillo

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4953813

Subject(s) - equipotential surface , schottky diode , conical surface , field (mathematics) , common emitter , charge (physics) , conjecture , conductor , physics , point (geometry) , optoelectronics , condensed matter physics , materials science , geometry , mathematics , diode , quantum mechanics , pure mathematics

A Point Charge Model of conical field emitters, in which the emitter is defined by an equipotential surface of judiciously placed charges over a planar conductor, is used to confirm Schottky’s conjecture that field enhancement factors are multiplicative for a small protrusion placed on top of a larger base structure. Importantly, it is shown that Schottky’s conjecture for conical / ellipsoidal field emitters remains unexpectedly valid even when the dimensions of the protrusion begin to approach the dimensions of the base structure. The model is analytic and therefore the methodology is extensible to other configurations

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