Nested head-tail Vlasov solver

@article{Burov2014NestedHV,
  title={Nested head-tail Vlasov solver},
  author={Alexey V. Burov},
  journal={Physical Review Special Topics-accelerators and Beams},
  year={2014},
  volume={17},
  pages={021007}
}
  • A. Burov
  • Published 30 August 2013
  • Physics
  • Physical Review Special Topics-accelerators and Beams
Nested Head-Tail (NHT) is a Mathematica-based Vlasov solver for transverse oscillations in multi-bunch beams. It takes into account azimuthal, radial, coupled-bunch and beam-beam degrees of freedom, single- and inter-bunch dipole wakes, an arbitrary damper, beam-beam effects and Landau damping. 

Coupled-beam and coupled-bunch instabilities

  • A. Burov
  • Physics
    Physical Review Accelerators and Beams
  • 2018
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References

SHOWING 1-10 OF 23 REFERENCES

Transverse modes for flat inter-bunch wakes

If inter-bunch wake fields are flat, i.e. their variations over a bunch length can be neglected, all coherent modes have the same coupled-bunch structure, provided the bunches can be treated as

Practical User Guide for HEADTAIL

This note describes the program HEADTAIL for the simulation of transverse and longitudinal single bunch phenomena, with special emphasis on the instability and emittance growth induced by an electron

Three-beam instability in the LHC

In the LHC, a transverse instability is regularly observed at 4TeV right after the beta-squeeze, when the beams are separated by about their ten transverse rms sizes [1-3], and only one of the two

The LHC Transverse Coupled-Bunch Instability

In this thesis, the problem of the transverse coupled-bunch instabilities created by the Large Hadron Collider (LHC) beam-coupling impedance, that can possibly limit the machine operation, is

Physics Of Collective Beam Instabilities In High Energy Accelerators

Wake Fields and Impedances. Instabilities in Linear Accelerators. Macroparticle Models. Landau Damping. Perturbation Formalism. Index.

TRANSVERSE RESISTIVE INSTABILITIES OF INTENSE COASTING BEAMS IN PARTICLE ACCELERATORS

The transverse electromagnetic interaction of an intense azimuthally uniform beam of particles with itself, including the effect of a resistive vacuum tank, is investigated theoretically. It is shown

Landau damping with two-dimensional betatron tune spread

We discuss Landau damping of the rigid dipole oscillations for a beam with amplitude-dependent betatron tunes. In particular, we derive analytic formulae for the stability limit when the detunings

Handbook of Accelerator Physics and Engineering

Concerned with the design and operation of modern accelerators including linacs, synchrotrons and storage rings, this text includes both theoretical and practical matters. Chapters on beam dynamics

The Vlasov Equation

If the forces between particles are long ranged and weak, one might try to replace the actual force by its space average. Let us denote by f t (x,v) the density of particles at x with velocity v at