Published 1991
| Version v1
Report
The WKB approximation and the travelling-wave acceleration cavity
Description
The equations of motion of a charged particle in a travelling-wave accelerating cavity are those of a harmonic oscillator with a varying restoring constant. This restoring constant is negative for transverse motion, resulting in diverging trajectories. The restoring constant is positive for longitudinal motion. For many years the only solution to the equation in the program TRANSPORT was for massless particles. The WKB approximation of quantum mechanics yields a very accurate solution for massive particles. It allows both the amplitude and the wave number of the trajectory to vary as the cavity is traversed. Solutions are approximately 30 times more accurate than previously published. Comparisons are made with numerical integration
Additional details
Publishing Information
- Imprint Title
- Conference record of the 1991 IEEE particle accelerator conference: Accelerator science and technology. Volume 3 of 5
- Imprint Pagination
- 723 p.
- Journal Page Range
- p. 1618-1620.
- Report number
- DOE/ER/40607--1-Vol.3
Conference
- Title
- 1991 Institute of Electrical and Electronics Engineers (IEEE) particle accelerator conference (PAC).
- Dates
- 6-11 May 1991.
- Place
- San Francisco, CA (United States).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24001651
- Subject category
- S43: PARTICLE ACCELERATORS;
- Resource subtype / Literary indicator
- Conference, Numerical Data, Non-conventional Literature
- Descriptors DEI
- BEAM DYNAMICS; CHARGED PARTICLES; COMPARATIVE EVALUATIONS; EQUATIONS OF MOTION; HARMONIC OSCILLATORS; T CODES; THEORETICAL DATA; TRAJECTORIES; TRAVELLING WAVES; WKB APPROXIMATION
- Descriptors DEC
- COMPUTER CODES; DATA; DIFFERENTIAL EQUATIONS; DYNAMICS; EQUATIONS; EVALUATION; INFORMATION; MECHANICS; NUMERICAL DATA; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Secondary number(s)
- CONF-910505--Vol.3.