TUOA3
UCLA, Los Angeles, California, USA
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TUOA3 |
Three-dimensional Kinetic Theory of Longitudinal Space-charge Interactions in a Thermal Relativistic Electron Beam | |
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| We develop an analytical model of space-charge interactions leading to longitudinal plasma oscillations and space-charge induced microbunching amplification. Our theory is based on a modal description of space-charge waves which includes energy spread, emittance, betatron motion and geometrical effects due to the finite size of the beam. In analogy with the three-dimensional theory of free-electron lasers, we derive a dispersion relation for the space-charge oscillation modes that can be expressed in terms of four dimensionless parameters. We find approximate variational solutions as well as numerical solutions with a discretization method. Finally we we apply this model to the optimization of a longitudinal space-charge amplification experiment. | ||
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Slides TUOA3 [3.254 MB] | |