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article · IEEE Transactions on Nuclear Science · 1981

Vertical Fast Blow-Up in a Single Bunch

Ronald D. Ruth, J. M. Wang

Cited by 16Open access

Abstract

Vertical coherent instabilities in bunched beams are studied with an emphasis on single bunch instabilities in which the growth time is less than the period of synchrotron oscillations. Single bunch instabilities have been studied by many people, however, in most treatments the standard assumption is that the coherent force can be treated as a perturbation compared to the synchrotron force. This simplifies the problem greatly since in this way an individual synchrotron mode is decoupled (or coupled only to a neighboring mode). In the regime of fast blow-up (growth time < synchrotron period) this assumption is not valid, and it is therefore necessary to include the coupling of all the synchrotron modes.

Cite this paper

APA 7

Ruth, R. D., & Wang, J. M. (1981). Vertical Fast Blow-Up in a Single Bunch. IEEE Transactions on Nuclear Science, 28(3), 2405–2407. https://doi.org/10.1109/tns.1981.4331707

MLA 9

Ruth, Ronald D., and J. M. Wang. “Vertical Fast Blow-Up in a Single Bunch.” IEEE Transactions on Nuclear Science, vol. 28, no. 3, 1981, pp. 2405–07, https://doi.org/10.1109/tns.1981.4331707.

Chicago

Ruth, Ronald D., and J. M. Wang. 1981. “Vertical Fast Blow-Up in a Single Bunch.” IEEE Transactions on Nuclear Science 28 (3): 2405–07. https://doi.org/10.1109/tns.1981.4331707.

Harvard

Ruth, R.D. and Wang, J.M. (1981) ‘Vertical Fast Blow-Up in a Single Bunch’, IEEE Transactions on Nuclear Science, 28(3), pp. 2405–2407. Available at: https://doi.org/10.1109/tns.1981.4331707.

BibTeX
@article{ruth1981vertical,
  title = {{Vertical Fast Blow-Up in a Single Bunch}},
  author = {Ruth, Ronald D. and Wang, J. M.},
  journal = {IEEE Transactions on Nuclear Science},
  volume = {28},
  number = {3},
  pages = {2405--2407},
  year = {1981},
  doi = {10.1109/tns.1981.4331707}
}

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