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29 March 2024 |
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Interplay between morphological and shielding effects in field emission via Schwarz-Christoffel transformation | Edgar Marcelino
; Thiago A. de Assis
; Caio M. C. de Castilho
; | Date: |
1 Nov 2017 | Abstract: | It is well known that sufficiently strong electrostatic fields are able to
change the morphology of Large Area Field Emitters (LAFEs). This phenomenon
affects the electrostatic interactions between adjacent sites on a LAFE during
field emission and may lead to several consequences, such as: the emitter’s
degradation, diffusion of absorbed particles on the emitter’s surface,
deflection due to electrostatic forces and mechanical stress. These
consequences are undesirable for technological applications, since they may
significantly affect the macroscopic current density on the LAFE. Despite the
technological importance, these processes are not completely understood yet. On
the other hand, the proximity between emitters on a LAFE may lead to shielding
effects that may compete with the morphological ones. The present work intends
to study the interplay between proximity and morphological effects by studying
a model amenable for an analytical treatment. In order to do that, a conducting
system under an external electrostatic field, consisting of two
mirror-reflected triangular protrusions on an infinite line, is considered. The
Field Enhancement Factor (FEF) near the apex of each emitter is obtained as a
function of their shape and the distance between them via a Schwarz-Christoffel
transformation. Our results suggest that the tradeoff between shape and
proximity effects on a LAFE may require a mechanism of saturation in the
corresponding Fowler-Nordheim (FN) plot. Also, the results presented here may
lead to a better understanding on the physics of multi-tip resonators for
integrated emitter devices, in which the aforementioned effects are expected to
compete during self-oscillations. | Source: | arXiv, 1711.0202 | Services: | Forum | Review | PDF | Favorites |
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