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Burov, A.V.

Paper Title Page
TUO1C03 Van Kampen Modes for Bunch Longitudinal Motion 358
  • A.V. Burov
    Fermilab, Batavia

In 1955, van Kampen described a full set of eigenfunctions for collective oscillations in plasma. This formalism can be applied to the beams as well. As a result, a loss of Landau damping is seen as one of the main reasons for bunch instability. Bunch stability is seen to depend both on a shape of the distribution function and RF bucket. Available areas on intensity-emittance plane are shown for various RF shapes and wake functions. Results are compared with observations and simulations.


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