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Analytical Potentials for the Efficient Simulation of Planar and Axisymmetric Ion Mirrors

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Abstract

In this paper, we obtained analytical equations for electrostatic fields of two-dimensional planar and axially symmetric mirrors with piecewise-constant and piecewise-linear potentials on electrode surfaces located symmetrically in parallel planes or on a cylindrical surface, in particular, in the presence of an additional end electrode. The results can be used for the efficient optimization of aberration properties of time-of-flight mass analyzers and electrostatiс ion traps with gridless ion mirrors based on both standard planar or ring-type electrodes with finite gaps between them and PCB plates.

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ACKNOWLEDGMENTS

Wolfram Mathematica (ver. 11) software was used for performing calculations and creating figures [34]. Paint.NET (ver. 4) graphics editor [44] was used for editing the figures. The authors apologize to the readers for using the notation arctan, sinh, cosh, tanh, log, and others, which are characteristic of European typographic traditions, instead of the notation accepted in Russian-language mathematical texts. The authors are grateful to the referees for useful comments that have improved the presentation of the article.

Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. AAAA-A17-117042410146-7.

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Authors and Affiliations

  1. Institute for Analytical Instrumentation, Russian Academy of Sciences, 190103, St. Petersburg, Russia

    A. S. Berdnikov, T. V. Pomozov & M. I. Yavor

  2. MSC-CG (Mass Spectrometry Consulting), 85000, Bar, Montenegro

    A. N. Verentchikov, S. N. Kirillov & Yu. I. Khasin

Authors
  1. A. S. Berdnikov
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  2. A. N. Verentchikov
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  3. S. N. Kirillov
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  4. T. V. Pomozov
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  5. Yu. I. Khasin
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  6. M. I. Yavor
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Corresponding author

Correspondence to M. I. Yavor.

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Translated by O. Zhukova

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Berdnikov, A.S., Verentchikov, A.N., Kirillov, S.N. et al. Analytical Potentials for the Efficient Simulation of Planar and Axisymmetric Ion Mirrors. J Anal Chem 74, 1437–1446 (2019). https://doi.org/10.1134/S1061934819140041

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  • DOI: https://doi.org/10.1134/S1061934819140041

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