Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2025, Volume 21, Issue 1, Pages 47–57
DOI: https://doi.org/10.21638/spbu10.2025.104
(Mi vspui648)
 

Applied mathematics

Method for estimation effective parameters of field cathodes using high-precision multiparameter field emission equations

A. G. Kolosko, E. O. Popov, S. V. Filippov

Ioffe Institute, 26, Politekhnicheskaya ul., St. Petersburg, 194021, Russian Federation
References:
DOI: https://doi.org/10.21638/spbu10.2025.104
Abstract: The paper presents a numerical method for estimation the effective parameters of field cathodes from their current-voltage characteristics using a high-precision multiparameter field emission equation, which includes the expansion of the special functions $\tau$ and $\nu$ to the sixth term, as well as the functional dependence of the emission area on the field. The method was demonstrated by the example of a nanocomposite cathode made of carbon nanotubes in a polymer matrix, as well as by the example of an emitter modeled in COMSOL. A comparison is made with other methods of analyzing current-voltage characteristics, such as FN-plot, MG-plot and KP-plot.
Keywords: method of processing current-voltage characteristics, FN-plot, effective field enhancement factor, effective radius of curvature, high precision field emission equation, nanocomposite with carbon nanotubes.
Received: October 25, 2024
Accepted: December 12, 2024
Document Type: Article
UDC: 537.5
MSC: 65Z05
Language: Russian
Citation: A. G. Kolosko, E. O. Popov, S. V. Filippov, “Method for estimation effective parameters of field cathodes using high-precision multiparameter field emission equations”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 21:1 (2025), 47–57
Citation in format AMSBIB
\Bibitem{KolPopFil25}
\by A.~G.~Kolosko, E.~O.~Popov, S.~V.~Filippov
\paper Method for estimation effective parameters of field cathodes using high-precision multiparameter field emission equations
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2025
\vol 21
\issue 1
\pages 47--57
\mathnet{http://mi.mathnet.ru/vspui648}
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    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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