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Title |
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| THPRO096 |
Nonlinear Oscillations of a Sheet Electron Beam |
3113 |
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- H.Y. Barminova
MEPhI, Moscow, Russia
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In collisionless approximation the nonlinear dynamics of continuous strong current intense electron beam is investigated. Nonlinear oscillations of the beam radius appear due to self-consistent nonlinear forces. To study these oscillations the model is used that automatically satisfy to Vlasov equation. The oscillations are described by means of Duffing equation. The equilibrium state is shown to exist. The solutions near the equilibrium state are analyzed. The asymptotic character of the solutions is found. Nonlinear beam transverse oscillations lead to filamentation and effective emittance growth. If particle energy dissipation is absent in the beam transportation channel the physical reason of the effective emittance growth is transfer of the part of the beam potential energy to kinetic energy of the particle transverse oscillations.
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| DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO096
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