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Virtual cathode formation in annular electron beam in an external magnetic field

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Abstract

The conditions of virtual cathode (VC) formation in an annular electron beam in the presence of an external focusing magnetic field have been studied by means of numerical simulation within the framework of a two-dimensional model. The dependences of a critical beam current (at which the VC is formed) on the magnetic field and of the optimum field (at which the critical current is minimal) on the beam geometry are determined. The optimum magnetic field depends on the Brillouin field value.

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References

  1. High-Power Microwave Sources (Artech House Microwave Library, Vol. 13), Ed. by V. L. Granatstein and I. Alexeff (Artech House, Norwood, 1987).

    Google Scholar 

  2. A. E. Dubinov and V. D. Selemir, Radiotekh. Élektron. (Moscow) 47, 575 (2002).

    Google Scholar 

  3. D. I. Trubetskov and A. E. Hramov, Lectures on Microwave Electronics for Physicists (Fizmatlit, Moscow, 2003 (Vol. 1), 2004 (Vol. 2)) [in Russian].

    Google Scholar 

  4. M. V. Kuzelev and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in Plasma (Nauka, Moscow, 1990) [in Russian].

    Google Scholar 

  5. K. G. Kostov and N. A. Nikolov, Phys. Plasmas 1, 1034 (1994).

    Article  ADS  Google Scholar 

  6. K. G. Kostov, I. G. Yovchev, and N. A. Nikolov, Electron. Lett. 35, 1647 (1999).

    Article  Google Scholar 

  7. W. Jiang, H. Kitano, L. Huang, K. Masugata, and K. Yatsui, IEEE Trans. Plasma Sci. 242, 187 (1996).

    Article  ADS  Google Scholar 

  8. Yu. I. Morozov and A. E. Hramov, Fiz. Plazmy 33, 610 (2007) [Plasma Phys. Rep. 33, 553 (2007)].

    Google Scholar 

  9. A. E. Hramov, A. A. Koronovskii, M. Morozov, and A, V. Mushtakov, Phys. Lett. A 24, 187 (2004).

    Google Scholar 

  10. Sh. E. Tsimring, Electron Beams and Microwave Vacuum Electronics (J. Wiley, Hoboken, 2007).

    Google Scholar 

  11. C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation (McGraw-Hill, New York, 1985).

    Google Scholar 

  12. A. S. Roshal’, Modeling of Charged Particle Beams (Atomizdat, Moscow, 1979) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Saratov State University, Saratov, 410026, Russia

    S. A. Kurkin & A. E. Hramov

Authors
  1. S. A. Kurkin
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  2. A. E. Hramov
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Correspondence to S. A. Kurkin.

Additional information

Original Russian Text © S.A. Kurkin, A.E. Hramov, 2009, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 35, No. 1, pp. 48–54.

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Kurkin, S.A., Hramov, A.E. Virtual cathode formation in annular electron beam in an external magnetic field. Tech. Phys. Lett. 35, 23–25 (2009). https://doi.org/10.1134/S1063785009010076

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  • DOI: https://doi.org/10.1134/S1063785009010076

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