Математическое моделирование полевого эмиттера гиперболической формы

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Математическое моделирование полевого эмиттера гиперболической формы. / Егоров, Николай Васильевич ; Виноградова, Екатерина Михайловна.

в: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, Том 16, № 3, 2020, стр. 238-248.

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

Harvard

Егоров, НВ & Виноградова, ЕМ 2020, 'Математическое моделирование полевого эмиттера гиперболической формы', ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, Том. 16, № 3, стр. 238-248. https://doi.org/10.21638/11701/SPBU10.2020.302

BibTeX

@article{37be7d4796d441439b38450298ec1b39,

title = "Математическое моделирование полевого эмиттера гиперболической формы",

abstract = "This article is devoted to modeling a field emission diode system. The emitter surface is a hyperboloid of rotation. The anode surface is a part of the hyperboloid of rotation, in a particular case, a circular diaphragm. A boundary value problem is formulated for the Laplace equation with non-axisymmetric boundary conditions of the first kind. A 3D solution was found by the variable separation method in the prolate spheroidal coordinates. The electrostatic potential distribution is presented in the form of the Legendre functions expansions. The calculation of the expansion coefficients is reduced to solving a system of linear equations with constant coefficients. All geometric dimensions of the system are the parameters of the problem.",

keywords = "Boundary-value problem, Electrostatic potential, Field emission, Field emitter, Legendre functions, Mathematical modeling, Micro and nanoelectronics, micro and nanoelectronics, field emitter, field emission, mathematical modeling, electrostatic potential, boundary-value problem, Legendre functions, EMISSION",

author = "Егоров, {Николай Васильевич} and Виноградова, {Екатерина Михайловна}",

note = "Funding Information: ∗ This work was supported by the Russian Foundation for Basic Research (grant N 20-07-01086). Publisher Copyright: {\textcopyright} 2020 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

doi = "10.21638/11701/SPBU10.2020.302",

language = "русский",

volume = "16",

pages = "238--248",

journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",

issn = "1811-9905",

publisher = "Издательство Санкт-Петербургского университета",

number = "3",

}

RIS

TY - JOUR

T1 - Математическое моделирование полевого эмиттера гиперболической формы

AU - Егоров, Николай Васильевич

AU - Виноградова, Екатерина Михайловна

N1 - Funding Information: ∗ This work was supported by the Russian Foundation for Basic Research (grant N 20-07-01086). Publisher Copyright: © 2020 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - This article is devoted to modeling a field emission diode system. The emitter surface is a hyperboloid of rotation. The anode surface is a part of the hyperboloid of rotation, in a particular case, a circular diaphragm. A boundary value problem is formulated for the Laplace equation with non-axisymmetric boundary conditions of the first kind. A 3D solution was found by the variable separation method in the prolate spheroidal coordinates. The electrostatic potential distribution is presented in the form of the Legendre functions expansions. The calculation of the expansion coefficients is reduced to solving a system of linear equations with constant coefficients. All geometric dimensions of the system are the parameters of the problem.

AB - This article is devoted to modeling a field emission diode system. The emitter surface is a hyperboloid of rotation. The anode surface is a part of the hyperboloid of rotation, in a particular case, a circular diaphragm. A boundary value problem is formulated for the Laplace equation with non-axisymmetric boundary conditions of the first kind. A 3D solution was found by the variable separation method in the prolate spheroidal coordinates. The electrostatic potential distribution is presented in the form of the Legendre functions expansions. The calculation of the expansion coefficients is reduced to solving a system of linear equations with constant coefficients. All geometric dimensions of the system are the parameters of the problem.

KW - Boundary-value problem

KW - Electrostatic potential

KW - Field emission

KW - Field emitter

KW - Legendre functions

KW - Mathematical modeling

KW - Micro and nanoelectronics

KW - micro and nanoelectronics

KW - field emitter

KW - field emission

KW - mathematical modeling

KW - electrostatic potential

KW - boundary-value problem

KW - Legendre functions

KW - EMISSION

UR - http://www.scopus.com/inward/record.url?scp=85097478143&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8c254894-03c9-3cba-a24d-58fa0dc5eb55/

U2 - 10.21638/11701/SPBU10.2020.302

DO - 10.21638/11701/SPBU10.2020.302

M3 - статья

AN - SCOPUS:85097478143

VL - 16

SP - 238

EP - 248

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 3

ER -

ID: 71312777