title: Mathematical modeling of triode system on the basis of field emitter with ellipsoid 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: 2021-07-13T10:55:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-13T10:55:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Еgorov N. V., Vinogradova Е. M. Mathematical modeling of triode system on the basis of field emitter with ellipsoid shape. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 131-136.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29864
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper the mathematical modeling of the triode emission axially symmetric system on the basis of field emitter is considered. Emitter is an ellipsoid of revolution, anode is a confocal ellipsoidal surface of revolution. Modulator is a part of the ellipsoidal surface of revolution, confocal with the cathode and anode surfaces. The boundary-value problem for the Laplace's equation in the prolate spheroidal coordinates with the boundary conditions of the first kind is solved. The variable separation method is applied to calculate the axisymmetrical electrostatic potential distribution. The potential distribution is represented as the Legendre functions expansion. The expansion coefficients are the solution of the system of linear equations. All geometrical 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 (project N 20-07-01086).
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 17; Issue 2
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 triode system on the basis of field emitter with ellipsoid shape
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 131-136.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29864/1/131-136.pdf
resources.format: Adobe PDF
resources.size: 342,29 kB