Head-Tail Modes for Strong Space Charge

Abstract

The head-tail modes are described for the space charge tune shift significantly exceeding the synchrotron tune. A general equation for the modes is derived. The spatial shapes of the modes, their frequencies, and coherent growth rates are explored. The Landau damping rates are also found. The suppression of the transverse mode coupling instability by the space charge is explained.

11 pages, 7 figures, submitted to Phys. Rev. ST-Accel. Beams

References in corpus (1)

• Transverse Instabilities of Coasting Beams with Space Charge

Cited by in corpus (14)

• Landau Damping of Beam Instabilities by Electron Lenses
• Interpretation of transverse tune spectra in a heavy-ion synchrotron at high intensities
• Single-Particle Dynamics in a Nonlinear Accelerator Lattice: Attaining a Large Tune Spread with Octupoles in IOTA
• Convective Instabilities of Bunched Beams with Space Charge
• Transverse Decoherence and Coherent Spectra in Long Bunches with Space Charge
• TMCI and Space Charge II
• TMCI and Space Charge
• Threshold of transverse mode coupling instability with arbitrary space charge
• Transverse Mode Coupling Instability with Space Charge
• Simulation of a cascaded longitudinal space charge amplifier for broadband radiation production using a superconducting linac
• Parametric Landau damping of space charge modes
• Effect of bunch shape on its TMCI spectrum and threshold with high space charge
• Observation of Instabilities of Coherent Transverse Ocillations in the Fermilab Booster
• Transverse mode coupling instability of the bunch with oscillating wake field and space charge