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Zhurnal Tekhnicheskoi Fiziki, 2018, Volume 88, Issue 11, Pages 1711–1719
DOI: https://doi.org/10.21883/JTF.2018.11.46635.2498 (Mi jtf5777) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Electrophysics, electron and ion beams, physics of accelerators

Application of the Donkin formula in the theory of electrostatic prisms

U. K. Golikovab, A. S. Berdnikovb, A. S. Antonovb, N. K. Krasnovaa, K. V. Solov'evab

a Peter the Great St. Petersburg Polytechnic University
b Institute for Analytical Instrumentation, Russian Academy of Sciences, St. Petersburg
Full-text PDF (905 kB) Citations (1)
DOI: https://doi.org/10.21883/JTF.2018.11.46635.2498
Abstract: An electrostatic prism is an electron- and ion-optical device that transforms a parallel input beam of charged particles into a parallel output beam that is deflected by an angle dependent on the energy of a charged particle beam. The principle of similarity of trajectories for electric fields that are homogeneous in Euler terms provides perfect optical properties of electrostatic prisms when the fields with zero power of homogeneity are used. It is shown that the Donkin formula for 3D homogeneous harmonic functions makes it possible to employ analytical expressions using homogeneous electric potentials of a zero power. A few examples of electrostatic prisms are calculated using the Donkin formula.
Keywords: Electrostatic Prism, Euler Terms, Zeroth Power, Homogeneous Harmonic Functions, Parallel Input Beam.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 007-00229-18-00
Received: 22.09.2017
Revised: 24.02.2018
English version:
Technical Physics, 2018, Volume 63, Issue 11, Pages 1659–1666
DOI: https://doi.org/10.1134/S1063784218110117
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. K. Golikov, A. S. Berdnikov, A. S. Antonov, N. K. Krasnova, K. V. Solov'ev, “Application of the Donkin formula in the theory of electrostatic prisms”, Zhurnal Tekhnicheskoi Fiziki, 88:11 (2018), 1711–1719; Tech. Phys., 63:11 (2018), 1659–1666
Citation in format AMSBIB
\Bibitem{GolBerAnt18}
\by U.~K.~Golikov, A.~S.~Berdnikov, A.~S.~Antonov, N.~K.~Krasnova, K.~V.~Solov'ev
\paper Application of the Donkin formula in the theory of electrostatic prisms
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2018
\vol 88
\issue 11
\pages 1711--1719
\mathnet{http://mi.mathnet.ru/jtf5777}
\crossref{https://doi.org/10.21883/JTF.2018.11.46635.2498}
\elib{https://elibrary.ru/item.asp?id=36904547}
\transl
\jour Tech. Phys.
\yr 2018
\vol 63
\issue 11
\pages 1659--1666
\crossref{https://doi.org/10.1134/S1063784218110117}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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