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Stability of a partially compensated electron beam

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Abstract

The author discusses the conditions for stability of a partially compensated electron beam in relation to deflection (“snaking”). It is shown that, with a continuous spectrum of perturbation wave vectors, there is always a region of strong instability (with relatively large increments). With a discrete spectrum (e.g., with a beam of finite length in an accelerator), instability occurs only at beam currents greater than a certain critical value. Landau damping and radiation friction do not eliminate the instability. A weak dissipative instability is discovered, caused by radiation friction. In some cases Landau damping stabilizes this instability, but can also increase it.

The investigation is based on a model beam in the form of two pinches, electron and ion, with constant dimensions and uniform densities.

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Authors
  1. B. V. Chirikov
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Additional information

Translated from Atomnaya Énergiya, Vol. 19, No. 3, pp. 239–244, September, 1965

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Chirikov, B.V. Stability of a partially compensated electron beam. At Energy 19, 1149–1155 (1965). https://doi.org/10.1007/BF01127576

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  • DOI: https://doi.org/10.1007/BF01127576

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