Chromaticity effects on headtail instabilities for broadband impedance using two particle model, Vlasov analysis, and simulations
Effects of the chromaticity on headtail instabilities for broadband impedances are comprehensively studied, using the two particle model, the Vlasov analysis and computer simulations. We show both in the two particle model and the Vlasov analysis with the trapezoidal (semiconstant) wake model that we can derive universal contour plots for the growth factor as a function of the two dimensionless parameters: the wakefield strength, Υ, and the difference of the betatron phase advances between the head and the tail, χ. They reveal how the chromaticity affects strong headtail instabilities and excites headtail instabilities. We also apply the LEP (Large ElectronPositron Collider) broadband resonator model to the Vlasov approach and find that the results are in very good agreement with those of the trapezoidal wake model. The theoretical findings are also reinforced by the simulation results. In conclusion, the trapezoidal wake model turns out to be a very useful tool since it significantly simplifies the time domain analysis and provides wellbehaved impedance at the same time.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 High Energy Accelerator Research Organization (KEK), Ibarakiken (Japan)
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Japan Atomic Energy Agency (JAEA), Ibaraki (Japan)
 Publication Date:
 Report Number(s):
 BNL1143412017JA
Journal ID: ISSN 24699888; PRABCJ; TRN: US1702704
 Grant/Contract Number:
 AC0276SF00515; SC0012704
 Type:
 Published Article
 Journal Name:
 Physical Review Accelerators and Beams
 Additional Journal Information:
 Journal Volume: 20; Journal Issue: 7; Journal ID: ISSN 24699888
 Publisher:
 American Physical Society (APS)
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 43 PARTICLE ACCELERATORS
 OSTI Identifier:
 1373322
 Alternate Identifier(s):
 OSTI ID: 1390313; OSTI ID: 1395935
Chin, Yong Ho, Chao, Alexander Wu, Blaskiewicz, Michael M., and Shobuda, Yoshihiro. Chromaticity effects on headtail instabilities for broadband impedance using two particle model, Vlasov analysis, and simulations. United States: N. p.,
Web. doi:10.1103/PhysRevAccelBeams.20.071003.
Chin, Yong Ho, Chao, Alexander Wu, Blaskiewicz, Michael M., & Shobuda, Yoshihiro. Chromaticity effects on headtail instabilities for broadband impedance using two particle model, Vlasov analysis, and simulations. United States. doi:10.1103/PhysRevAccelBeams.20.071003.
Chin, Yong Ho, Chao, Alexander Wu, Blaskiewicz, Michael M., and Shobuda, Yoshihiro. 2017.
"Chromaticity effects on headtail instabilities for broadband impedance using two particle model, Vlasov analysis, and simulations". United States.
doi:10.1103/PhysRevAccelBeams.20.071003.
@article{osti_1373322,
title = {Chromaticity effects on headtail instabilities for broadband impedance using two particle model, Vlasov analysis, and simulations},
author = {Chin, Yong Ho and Chao, Alexander Wu and Blaskiewicz, Michael M. and Shobuda, Yoshihiro},
abstractNote = {Effects of the chromaticity on headtail instabilities for broadband impedances are comprehensively studied, using the two particle model, the Vlasov analysis and computer simulations. We show both in the two particle model and the Vlasov analysis with the trapezoidal (semiconstant) wake model that we can derive universal contour plots for the growth factor as a function of the two dimensionless parameters: the wakefield strength, Υ, and the difference of the betatron phase advances between the head and the tail, χ. They reveal how the chromaticity affects strong headtail instabilities and excites headtail instabilities. We also apply the LEP (Large ElectronPositron Collider) broadband resonator model to the Vlasov approach and find that the results are in very good agreement with those of the trapezoidal wake model. The theoretical findings are also reinforced by the simulation results. In conclusion, the trapezoidal wake model turns out to be a very useful tool since it significantly simplifies the time domain analysis and provides wellbehaved impedance at the same time.},
doi = {10.1103/PhysRevAccelBeams.20.071003},
journal = {Physical Review Accelerators and Beams},
number = 7,
volume = 20,
place = {United States},
year = {2017},
month = {7}
}