Analytical study of the equation for the longitudinal motion of particles in a radio-frequency-quadrupole accelerator
- 1. Dipartimento di Fisica dell'Universita degli Studi di Lecce, I-73100 Lecce, Italy and Gruppo di Lecce, Sezione di Bari, Istituto Nazionale di Fisica Nucleare, I-73100 Lecce, Italy
Description
We develop a procedure based on the averaging method of Bogoliubov, Krylov, and Mitropolsky to obtain analytical approximate solutions of the equation for the longitudinal motion of a particle in a radio-frequency-quadrupole (RFQ) accelerator under the Kapchinskii-Teplyakov assumption. Our analytical results, which fairly agree (within a few per thousand) with those coming from the numerical integration of the equation under consideration, are exploited in the case of an RFQ device with N = 150 cells in which the accelerated particles are protons and for values of the efficiency A from 0.05 to 0.5. Starting from an injection energy of 10 keV, a final energy of about 1.5 MeV is achieved. Our procedure may be applied to other fundamental problems arising in the project of an RFQ accelerator, such as the study of the equation for transversal oscillations
Additional details
Publishing Information
- Journal Title
- Phys. Rev., A
- Journal Volume
- 35
- Journal Issue
- 1
- Series
- Phys. Rev., A.
- Journal Page Range
- 393-397
- ISSN
- 0556-2791
- CODEN
- PLRAA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 18057301
- Subject category
- S43: PARTICLE ACCELERATORS;
- Descriptors DEI
- ACCELERATORS; ANALYTICAL SOLUTION; BEAM DYNAMICS; EQUATIONS OF MOTION; FOCUSING; PROTON BEAMS; QUADRUPOLE LINACS; RF SYSTEMS
- Descriptors DEC
- BEAMS; DIFFERENTIAL EQUATIONS; DYNAMICS; EQUATIONS; LINEAR ACCELERATORS; MECHANICS; NUCLEON BEAMS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE BEAMS