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Nonlinear dynamics and chaotization of oscillations of a virtual cathode in an annular electron beam in a uniform external magnetic field

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Abstract

Results are presented from a numerical study of the effect of an external magnetic field on the conditions and mechanisms for the formation of a virtual cathode in a relativistic electron beam. Characteristic features of the nonlinear dynamics of an electron beam with a virtual cathode are considered when the external magnetic field is varied. Various mechanisms are investigated by which the virtual cathode oscillations become chaotic and their spectrum becomes a multifrequency spectrum, thereby complicating the dynamics of the vircator system. A general mechanism for chaotization of the oscillations of a virtual cathode in a vircator system is revealed: the electron structures that form in an electron beam interact by means of a common space charge field to give rise to additional internal feedback. That the oscillations of a virtual cathode change from the chaotic to the periodic regime is due to the suppression of the mechanism for forming secondary electron structures.

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Authors and Affiliations

  1. Chernyshevsky Saratov State University, Astrakhanskaya ul. 83, Saratov, 410026, Russia

    S. A. Kurkin, A. A. Koronovski & A. E. Hramov

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  1. S. A. Kurkin
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  2. A. A. Koronovski
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  3. A. E. Hramov
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Additional information

Original Russian Text © S.A. Kurkin, A.A. Koronovski, A.E. Hramov, 2009, published in Fizika Plazmy, 2009, Vol. 35, No. 8, pp. 684–699.

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Kurkin, S.A., Koronovski, A.A. & Hramov, A.E. Nonlinear dynamics and chaotization of oscillations of a virtual cathode in an annular electron beam in a uniform external magnetic field. Plasma Phys. Rep. 35, 628–642 (2009). https://doi.org/10.1134/S1063780X09080029

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  • DOI: https://doi.org/10.1134/S1063780X09080029

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