title: Mathematical modeling of a field emitter with a hyperbolic shape
metadata.name: dc.contributor.author
metadata.value: Egorov, Nickolay V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Vinogradova, Ekaterina M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-11-19T10:33:54Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-11-19T10:33:54Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Egorov N. V., Vinogradova E. M. Mathematical modeling of a field emitter with a hyperbolic shape. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 3, pp. 238–248.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.302
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/20722
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Foundation for Basic Research (grant N 20-07-01086).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 16; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: micro and nanoelectronics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: field emitter
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: field emission
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical modeling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: electrostatic potential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary-value problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Legendre functions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical modeling of a field emitter with a hyperbolic shape
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 238-248.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/20722/1/238-248.pdf
resources.format: Adobe PDF
resources.size: 315,71 kB