Standard

Mathematical modeling of field emitter array. / Vinogradova, E. M.; Egorov, E. N.; Televnyy, D. S.

в: Vacuum, Том 127, 05.2016, стр. 45-50.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vinogradova, EM, Egorov, EN & Televnyy, DS 2016, 'Mathematical modeling of field emitter array', Vacuum, Том. 127, стр. 45-50. https://doi.org/10.1016/j.vacuum.2016.01.026

APA

Vinogradova, E. M., Egorov, E. N., & Televnyy, D. S. (2016). Mathematical modeling of field emitter array. Vacuum, 127, 45-50. https://doi.org/10.1016/j.vacuum.2016.01.026

Vancouver

Vinogradova EM, Egorov EN, Televnyy DS. Mathematical modeling of field emitter array. Vacuum. 2016 Май;127:45-50. https://doi.org/10.1016/j.vacuum.2016.01.026

Author

Vinogradova, E. M. ; Egorov, E. N. ; Televnyy, D. S. / Mathematical modeling of field emitter array. в: Vacuum. 2016 ; Том 127. стр. 45-50.

BibTeX

@article{4536c341a66e4971addadc60275ad40d,
title = "Mathematical modeling of field emitter array",
abstract = "In this article a mathematical model of multi-tip field cathode is presented. The field emitters periodic system for rectangular lattice serves as a field cathode on a flat substrate. A flat anode is parallel to the substrate. A unit cell with the individual field emitter is considered to calculate the electrostatic potential distribution. The effect of the field emitter on the distribution of the electrostatic potential is simulated as the effect of a finite charged line that is located at the axis of the system. The variable separation method is used to solve the boundary-value problem. The three-dimensional analytical solution for the Laplace/Poisson equation is obtained in the Cartesian coordinate system. The potential distribution is represented as an Fourier expansion, and the expansion coefficients are found in an explicit form. Values of the emission characteristics are determined by FowlerNordheim equation. The effect of electrostatic shielding on the emission characteristics is presented.",
keywords = "Field cathode, Field emitter array, Potential distribution",
author = "Vinogradova, {E. M.} and Egorov, {E. N.} and Televnyy, {D. S.}",
note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd. All rights reserved.",
year = "2016",
month = may,
doi = "10.1016/j.vacuum.2016.01.026",
language = "English",
volume = "127",
pages = "45--50",
journal = "Vacuum",
issn = "0042-207X",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Mathematical modeling of field emitter array

AU - Vinogradova, E. M.

AU - Egorov, E. N.

AU - Televnyy, D. S.

N1 - Publisher Copyright: © 2016 Elsevier Ltd. All rights reserved.

PY - 2016/5

Y1 - 2016/5

N2 - In this article a mathematical model of multi-tip field cathode is presented. The field emitters periodic system for rectangular lattice serves as a field cathode on a flat substrate. A flat anode is parallel to the substrate. A unit cell with the individual field emitter is considered to calculate the electrostatic potential distribution. The effect of the field emitter on the distribution of the electrostatic potential is simulated as the effect of a finite charged line that is located at the axis of the system. The variable separation method is used to solve the boundary-value problem. The three-dimensional analytical solution for the Laplace/Poisson equation is obtained in the Cartesian coordinate system. The potential distribution is represented as an Fourier expansion, and the expansion coefficients are found in an explicit form. Values of the emission characteristics are determined by FowlerNordheim equation. The effect of electrostatic shielding on the emission characteristics is presented.

AB - In this article a mathematical model of multi-tip field cathode is presented. The field emitters periodic system for rectangular lattice serves as a field cathode on a flat substrate. A flat anode is parallel to the substrate. A unit cell with the individual field emitter is considered to calculate the electrostatic potential distribution. The effect of the field emitter on the distribution of the electrostatic potential is simulated as the effect of a finite charged line that is located at the axis of the system. The variable separation method is used to solve the boundary-value problem. The three-dimensional analytical solution for the Laplace/Poisson equation is obtained in the Cartesian coordinate system. The potential distribution is represented as an Fourier expansion, and the expansion coefficients are found in an explicit form. Values of the emission characteristics are determined by FowlerNordheim equation. The effect of electrostatic shielding on the emission characteristics is presented.

KW - Field cathode

KW - Field emitter array

KW - Potential distribution

UR - http://www.scopus.com/inward/record.url?scp=84959020195&partnerID=8YFLogxK

U2 - 10.1016/j.vacuum.2016.01.026

DO - 10.1016/j.vacuum.2016.01.026

M3 - Article

AN - SCOPUS:84959020195

VL - 127

SP - 45

EP - 50

JO - Vacuum

JF - Vacuum

SN - 0042-207X

ER -

ID: 99372237