Stability regimes in a helical quadrupole focusing accelerator - theory and simulation. Memorandum report

Technical Report · Fri May 04 00:00:00 EDT 1990

OSTI ID:6708617

Krall, J; Tang, C M; Joyce, G; Sprangle, P

The inclusion of helical quadrupole (stellarator) and axial guide fields in high current spiral line or recirculating accelerator configurations provides a high tolerance to energy mismatch and confines the beam against space charge forces. In such a configuration the electron beam can interact with the external fields and with electromagnetic waveguide modes such that the beam centroid can be (1) orbit unstable independent of the waveguide modes, (2) three-wave unstable or (3) fully stable. The various stability conditions are presented in the limit of zero beam current. These stability conditions are found to be good predictors of particle simulation results, with minor departures being observed at high current. Linearly unstable modes, obtained via numerical solutions of the dispersion relation, were observed in each simulation. Nonlinear behavior, such as mode saturation in some regimes, was also observed.

• Research Organization: Naval Research Lab., Washington, DC (USA)
• OSTI ID: 6708617
• Report Number(s): AD-A-221755/2/XAB; NRL-MR-6636
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
DESIGN
STABILITY
DISPERSION RELATIONS
ELECTROMAGNETIC RADIATION
ELECTRON BEAMS
ENERGY
FOCUSING
HELICAL CONFIGURATION
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
POWER
PROGRESS REPORT
QUADRUPOLES
SATURATION
WAVEGUIDES
BEAMS
CONFIGURATION
DOCUMENT TYPES
LEPTON BEAMS
MATHEMATICS
MULTIPOLES
PARTICLE BEAMS
RADIATIONS
430100* - Particle Accelerators- Design
Development
& Operation
430200 - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics