Longitudinal dynamics in storage rings

Conference · Tue Dec 31 23:00:00 EST 1985

DOI:https://doi.org/10.1016/0168-9002(87)90934-X· OSTI ID:5453619

Colton, E P

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 Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5453619
• Report Number(s): LA-UR-86-1772; CONF-860520-6; ON: DE86011219
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200 -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
430400* -- Particle Accelerators-- Storage Rings
BEAM DYNAMICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HAMILTONIAN FUNCTION
HARMONICS
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
RF SYSTEMS
SPACE CHARGE
STORAGE RINGS