title: Field emission system with two emitters mathematical modeling
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.contributor.author
metadata.value: Kurbatova, Galina I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Klemeshev, Vladimir A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-02-19T13:23:04Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-02-19T13:23:04Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Egorov N. V., Vinogradova E. M., Kurbatova G. I., Klemeshev V. A. Field emission system with two emitters mathematical modeling. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 4, pp. 443–448. https://doi.org/10.21638/11701/spbu10.2023.402
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.402
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44903
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper presents a mathematical model of a two-dimensional emission diode system with
  two identical field emitters on a flat substrate; the anode is a plane parallel to the plane of the
  substrate. According to the proposed method, the real field cathode coincides with the virtual
  cathode, the shape of which is determined by the zero equipotential surface. The influence
  of each of the field emitters on the electrostatic potential distribution is replaced by the
  influence for a finite number of charged filaments. The solution of the boundary value problem
  for the Poisson equation is found in an analytical form. The potential distribution over the
  entire region of the emission system under study is presented in the form of expansions in
  terms of eigenfunctions. The coefficients of the series are calculated explicitly. The graphs
  presented demonstrate the dependence of the potential distribution on the distance between
  the emitters. All geometric dimensions of the system are the parameters of the problem.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 19; Issue 4
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: mathematical modeling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: electrostatic potential distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary-value problem
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Field emission system with two emitters mathematical modeling
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44903/1/02.pdf
resources.format: Adobe PDF
resources.size: 249,99 kB