title: Mathematical modeling of two-dimentional periodic system of field emitters
metadata.name: dc.contributor.author
metadata.value: Vinogradova, Ekaterina M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Doronin, Grigoriy G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-08-24T19:46:20Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-08-24T19:46:20Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vinogradova E. M., Doronin G. G. Mathematical modeling of two-dimentional periodic system of field emitters. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 2, pp. 121–128.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.204
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19014
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The work is devoted to a two-dimensional periodic system of field emitters mathematical
  modeling. Field-emission electron-vacuum devices are actively used in many fields of science
  and technology. In this article the field cathode as a periodic system of emitters of infinite
  length and the same shape, located on a flat substrate and at the same distance from
  each other, is investigated. Anode is a plane parallel to the substrate. To calculate the
  electrostatic potential distribution the influence of each emitter is replaced by the influence
  of a charged filament. To solve the boundary value problem for the Poisson equation the
  variables separation method in Cartesian coordinates is used. The potential distribution was
  found in an analytical form in the entire area of the system. In accordance with the formulas
  obtained, numerical calculations were carried out and the effect of emitter packing density
  on the electrostatic potential distribution is shown.
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 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: field emitter array
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: field cathode
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary-value problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: electrostatic potential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Poisson equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical modeling
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical modeling of two-dimentional periodic system of field emitters
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 121-128.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19014/1/121-128.pdf
resources.format: Adobe PDF
resources.size: 422,33 kB