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Simulating optimal structure of the magnetic field of electrostatic plasma lens

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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper considers the motion of electrons in the curvilinear magnetic field of a plasma lens. This motion is modeled mathematically on the assumption that the force acting on the electron is central in a moving coordinate frame. The existence conditions for optimal and stable equipotentials are studied.

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References

  1. D. V. Sivukhin, “Drift theory of motion of a charged particle in electromagnetic fields,” Voprosy Teorii Plazmy, Issue 1, 7–97 (1963).

    Google Scholar 

  2. A. I. Morozov and L. S. Solov’ev, “Magnetic field geometry,” Voprosy Teorii Plazmy, Issue 2, 3–91 (1963).

  3. A. I. Morozov and L. S. Solov’ev, “Plasma optics,” Voprosy Teorii Plazmy, Issue 8, 274–381 (1974).

  4. N. G. Chetaev, Motion Stability [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  5. P. P. Appell, Traite de Mecanique Rationnelle, Gauthier-Villars, Paris (1953).

    MATH  Google Scholar 

  6. F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York (1983).

    MATH  Google Scholar 

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. F. Zadorozhnyi

  2. Institute of Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    A. A. Goncharov

Authors
  1. V. F. Zadorozhnyi
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  2. A. A. Goncharov
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 73–78, September–October 2006.

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Zadorozhnyi, V.F., Goncharov, A.A. Simulating optimal structure of the magnetic field of electrostatic plasma lens. Cybern Syst Anal 42, 675–679 (2006). https://doi.org/10.1007/s10559-006-0105-4

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  • DOI: https://doi.org/10.1007/s10559-006-0105-4

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