Investigation of alternating-phase focusing for superconducting linacs

Conference · Wed Jan 01 04:00:00 EST 1992

OSTI ID:7201185

Sagalovsky, L; Delayen, J R

The paper describes a new model of alternating-phase focusing (APF) dynamics applicable to ion linacs with short independently controlled superconducting cavities. The equations of motion are derived for a cylindrically symmetric electric field represented by a traveling wave with continuous periodic phase modulation. solutions are obtained and analyzed for both the linear and nonlinear particle motion. Problems of linear stability and overall longitudinal acceptance are solved using standard mathematical techniques for periodic systems; analytical results are obtained. It is shown that the main beam dynamical aspects of APF are adequately described by four parameters: equilibrium synchronous phase, phase modulation amplitude, length of APF period, and incremental energy gain. The model can be applied to study the feasibility of realizing APF in a low-{beta} section of a proton linac.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: DOD; Department of Defense, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7201185
• Report Number(s): ANL/CP-77446; CONF-9208109--60; ON: DE93000507
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM DYNAMICS
CAVITY RESONATORS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUATIONS OF MOTION
EQUIPMENT
FOCUSING
LINEAR ACCELERATORS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
RESONATORS
SUPERCONDUCTING CAVITY RESONATORS
SUPERCONDUCTING DEVICES
TRAVELLING WAVES