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Zhurnal Tekhnicheskoi Fiziki, 2023, Volume 93, Issue 12, Pages 1716–1719
DOI: https://doi.org/10.61011/JTF.2023.12.56802.f210-23
(Mi jtf7143)
 

International Conference PhysicA.SPb 23-27 October, 2023 St. Petersburg
Mathematical physics and numerical methods

Mathematical modeling of the main characteristics of cold field and thermal field electron cathodes of scanning electron microscopes in the study of biological samples

S. N. Mamayevaa, A. N. Pavlova, N. A. Nikolaevaa, G. V. Maksimovb

a North-Eastern Federal University named after M. K. Ammosov, Yakutsk, Russia
b Lomonosov Moscow State University, Moscow, Russia
Abstract: Main emission characteristics of thermal field and cold field electron cathodes were calculated. Emitters surface forms are approximated by second-order surfaces and anodes are approximated by equipotential surfaces. Systems, consisting of 18 first order ordinary differential equations, are solved using the numerical Runge–Kutta method. As a result, trajectories of the “boundary” electrons were obtained, which determine beam shapes and sizes and density distributions charges and electric field strengths. Analysis of beam parameters let to determine special properties of scanning electron microscopes with thermal field electron cathodes and with cold field electron cathodes for studying biological samples.
Keywords: emission characteristics, mathematical modeling, the cold field electron cathode, the thermal field electron cathode, a scanning electron microscope.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSRG-2021-0014
The work was carried out as part of the state assignment № FSRG-2021-0014 and with the financial support of the Endowment of the Foundation of the North-Eastern Federal University named after M.K. Ammosov.
Received: 12.05.2023
Revised: 22.06.2023
Accepted: 30.10.2023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. N. Mamayeva, A. N. Pavlov, N. A. Nikolaeva, G. V. Maksimov, “Mathematical modeling of the main characteristics of cold field and thermal field electron cathodes of scanning electron microscopes in the study of biological samples”, Zhurnal Tekhnicheskoi Fiziki, 93:12 (2023), 1716–1719
Citation in format AMSBIB
\Bibitem{MamPavNik23}
\by S.~N.~Mamayeva, A.~N.~Pavlov, N.~A.~Nikolaeva, G.~V.~Maksimov
\paper Mathematical modeling of the main characteristics of cold field and thermal field electron cathodes of scanning electron microscopes in the study of biological samples
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2023
\vol 93
\issue 12
\pages 1716--1719
\mathnet{http://mi.mathnet.ru/jtf7143}
\crossref{https://doi.org/10.61011/JTF.2023.12.56802.f210-23}
\elib{https://elibrary.ru/item.asp?id=60019336}
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