Paper | Title | Page |
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TUO1C03 | Van Kampen Modes for Bunch Longitudinal Motion | 358 |
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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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