Emittance and beam size distortion due to linear coupling
At injection, the presence of linear coupling may result in an increased beam emittance and in increased beam dimensions. Results for the emittance in the presence of linear coupling will be found. These results for the emittance distortion show that the harmonics of the skew quadrupole field close to {nu}{sub x} + {nu}{sub y} are the important harmonics. Results will be found for the important driving terms for the emittance distortion. It will be shown that if these driving terms are corrected, then the total emittance is unchanged, {var_epsilon}{sub x} + {var_epsilon}{sub y} = {var_epsilon}{sub 1} + {var_epsilon}{sub 2}. Also, the increase in the beam dimensions will be limited to a factor which is less than 1.414. If the correction is good enough, see below for details, one can achieve {var_epsilon}{sub 1} = {var_epsilon}{sub x}, {var_epsilon}{sub 2} = {var_epsilon} where {var_epsilon}{sub 1}, {var_epsilon}{sub 2} are the emittances in the presence of coupling, and the beam dimensions are unchanged. Global correction of the emittance and beam size distortion appears possible.
- Research Organization:
- Brookhaven National Lab., Upton, NY (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 10162985
- Report Number(s):
- BNL-48269; CONF-930511-154; ON: DE93015402; TRN: 93:016245
- Resource Relation:
- Conference: PAC `93: international particle accelerator conference,Washington, DC (United States),17-20 May 1993; Other Information: PBD: [1993]
- Country of Publication:
- United States
- Language:
- English
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