Particle Motion Inside and Near a Linear Half-Integer Stopband
- Brookhaven National Lab. (BNL), Upton, NY (United States)
This paper studies the motion of a particle whose tune is inside and near a linear half-integer stopband. Results are found for the tune and beta funtions in the stable region close to an edge of the stopband. Results are found for the growth rates and for the exponentially growing particle motion inside the stopband. It is shown that the eigenvalues and the eigenfunctions of the transfer matrix are real inside the stopband. All the results found are also valid for small accelerators where the large accelerator approximation is not used.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC02-98CH10886
- OSTI ID:
- 1119388
- Report Number(s):
- BNL-102046-2013-IR
- Country of Publication:
- United States
- Language:
- English
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