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Influence of nonlinear noncoherent particle oscillations on the transverse dimensions of an electron-ion ring in the development of instability of “serpent” type

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Abstract

One of the main obstacles to the formation of high-intensity electron-ion rings for the collective method of acceleration is transverse two-beam instability of “serpent” type, the existence of which is associated with the presence of coupling resonances in the system [1–8]. Investigation of this instability in nonlinear conditions shows that, close to the upper limit and at the center of the instability region, stabilization occurs at amplitudes no larger than the cross-sectional radius ro of the beam. This offers the possibility of eliminating particle loss due to instability. However, final elucidation of the problem of losses requires the investigation of the transverse oscillations of individual particles in the ring, which may lead, in conditions of instability development, to additional increase in the transverse dimensions of the beam.

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Authors and Affiliations

  1. Scientific-Research Institute of Nuclear Physics, USSR

    V. P. Grigor'ev & A. N. Didenko

  2. S. M. Kirov Tomsk Polytechnic Institute, USSR

    V. P. Grigor'ev & A. N. Didenko

Authors
  1. V. P. Grigor'ev
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  2. A. N. Didenko
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 51–56, Ocotber, 1981.

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Grigor'ev, V.P., Didenko, A.N. Influence of nonlinear noncoherent particle oscillations on the transverse dimensions of an electron-ion ring in the development of instability of “serpent” type. Soviet Physics Journal 24, 943–946 (1981). https://doi.org/10.1007/BF00897556

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  • DOI: https://doi.org/10.1007/BF00897556

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