Stability of anisotropic beams with space charge

@inproceedings{Hofmann1998StabilityOA,
  title={Stability of anisotropic beams with space charge},
  author={Ingo Hofmann},
  year={1998}
}
  • Ingo Hofmann
  • Published 1998
  • Physics
  • Based on self-consistent Vlasov-Poisson equations, we derive coherent frequencies and stability properties of anisotropic or ``nonequipartitioned'' beams with different focusing constants and emittances in the two transverse directions. The thus obtained dispersion relations of transverse multipole oscillations with quadrupolar, sextupolar, and octupolar symmetries are solved numerically. We find that for sufficiently large energy anisotropy some of the eigenmodes become unstable in the space… CONTINUE READING

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