Title :
Coherent coupling criterion for three-dimensional halo formation
Author :
Hofmann, I. ; Qiang, Ji ; Ryne, R.
Author_Institution :
Gesellschaft fur Schwerionenforschung mbH, Darmstadt, Germany
Abstract :
In this paper we study coupling between the transverse and longitudinal degrees-of-freedom in intense, rms mismatched charged particle beams. We find that a coherent (2:1, i.e. parametric) resonance between the transverse and longitudinal mismatch eigenmodes has the effect that a transverse “breathing mode” mismatch can excited longitudinal mismatch and halo. If the resonance condition is not satisfied we find practically no coupling. We compare results obtained with the 3D rms envelope equations in a uniform focusing channel with those obtained using large scale, 3D parallel Particle-In-Cell (PIC) simulations
Keywords :
eigenvalues and eigenfunctions; particle beam bunching; particle beam stability; space charge; 3D rms envelope equations; coherent coupling criterion; longitudinal mismatch; parametric resonance; particle-in-cell simulations; resonance condition; rms mismatched charged particle beams; three-dimensional halo formation; uniform focusing channel; Anisotropic magnetoresistance; Equations; Frequency; Large-scale systems; Linear particle accelerator; Optical coupling; Particle beams; Resonance; Solid modeling; Space charge;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.795645
