Alternating-phase focusing: A model to study nonlinear dynamics

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

OSTI ID:7199851

Sagalovsky, L; Delayen, J R

We discuss a new model to study alternating-phase focusing (APF). Our approach is based on representing the accelerating electric field with a continuous phase modulated traveling wave. The resulting nonlinear equations of motion can be solved analytically to predict the regions of stable APF motion. We also identify the key parameters which adequately describe the physics of APF. The model is believed to be applicable to low-{beta} ion linacs with short independently-controlled superconducting cavities being developed at ANL.

• 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: 7199851
• Report Number(s): ANL/CP-76665; CONF-9203174--1; ON: DE92019027
• Country of Publication: United States
• Language: English

Related Subjects

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