Stable particle motion in a linear accelerator with solenoid focusing
The equation governing stable particle motion in a linear ion accelerator containing discrete rf and either discrete or continuous solenoid focusing was derived. It was found for discrete solenoid focusing that: cos ..mu.. = (1 + d..delta..) cos theta/2 + (l..delta../theta - dtheta/2l - theta..delta..d/sup 2//4l) sin theta/2, ..delta.. = 1/f and l + 2d = ..beta..lambda, where ..mu.., theta, f, l, and d are the phase advance per cell, precession angle in the solenoid, focal length of the rf lens, length of the solenoid in one cell, and the drift distance between the center of the rf gap and the effective edge of the solenoid. The relation for a continuous solenoid is found by setting d equal to zero. The boundaries of the stability region for theta vs ..delta.. with fixed l and d are obtained when cos ..mu.. =+-1.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6265917
- Report Number(s):
- LA-UR-79-701; CONF-790327-41; TRN: 79-011427
- Resource Relation:
- Journal Volume: 26; Journal Issue: 3; Conference: IEEE particle accelerator conference, San Francisco, CA, USA, 12 Mar 1979
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
LINEAR ACCELERATORS
BEAM DYNAMICS
BEAM FOCUSING MAGNETS
BEAM TRANSPORT
ION BEAMS
PHASE STABILITY
SOLENOIDS
TRAJECTORIES
ACCELERATORS
BEAMS
ELECTRIC COILS
ELECTRICAL EQUIPMENT
EQUIPMENT
MAGNETS
STABILITY
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics