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MOPL001 |
Instability in the nonlinear envelope dynamics of a bunched beam | |
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Funding: This work is supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). In this work, we analyze the envelope equations for a bunched beam with ellipsoidal symmetry. We focus in beams where space charge effects are dominant. As a consequence, the longitudinal and transverse envelope dynamics are coupled. While linear analysis shows that the system is always stable for infinitesimal perturbations, when taking into account nonlinear terms, we observe instabilities for certain parameters, which include regions of very small mismatch (where the system is almost linear). We map the region of parameters in which the system is unstable. One of the consequences of this instability is the exchange of energy between the degrees-of-freedom. This may lead to a large increase of the envelope amplitude in one direction due to a mismatch in the other direction. We solve the envelope equations to show this effect. |
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