Longitudinal dynamics in storage rings
The single-particle equations of motion are derived for charged particles in a storage ring. Longitudinal space charge is included in the potential assuming an infinitely conducting circular beam pipe with a distributed inductance. The framework uses Hamilton's equations with the canonical variables phi and W. The Twiss parameters for longitudinal motion are also defined for the small amplitude synchrotron oscillations. The space-charge Hamiltonian is calculated for both parabolic bunches and ''matched'' bunches. A brief analysis including second-harmonic rf contributions is also given. The final sections supply calculations of dynamical quantities and particle simulations with the space-charge effects neglected.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5453619
- Report Number(s):
- LA-UR-86-1772; CONF-860520-6; ON: DE86011219
- Resource Relation:
- Journal Volume: 258; Journal Issue: 3; Conference: Conference on charged particle optics, Los Alamos, NM, USA, 19 May 1986; Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
Similar Records
Longitudinal instability studies at the SURF II storage ring at NIST.
Longitudinal tune control in synchrotrons
Related Subjects
STORAGE RINGS
BEAM DYNAMICS
EQUATIONS OF MOTION
HAMILTONIAN FUNCTION
HARMONICS
RF SYSTEMS
SPACE CHARGE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
430400* - Particle Accelerators- Storage Rings
430200 - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics