This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
R.D. Ruth, Single particle dynamics and nonlinear resonances in circular accelerators, these proceedings. Note that we use a different sign convention so that (x, y, s) is a right-handed coordinate system.
M. Sands, The Physics of electron storage rings, SLAC-121 (1970).
K.W. Robinson, Radiation effects in circular accelerators, Phys. Rev. 111, 373 (1958).
A.A. Sokolov and I.M. Ternov, Synchrotron radiation, Pergamon Press, Berlin, 1968.
J.D. Jackson, Classical electrodynamics, Wiley, New York, 1975.
K. Hübner and A. Piwinski, in Proc. CERN Accelerator School, Orsay, 3rd–14th September 1984.
C.W. Gardiner, Handbook of stochastic methods for physics, chemistry and the natural sciences, Springer-Verlag, Heidelberg, 1983.
R.L. Stratonovich, Topics in the Theory of Random Noise, Vols I and II, Gordon and Breach, New York, 1967.
C. Bernardine and C. Pellegrini, Linear theory of motion in electron storage rings, Ann. Phys. 46, 174 (1968).
H. Bruck, Accélérateurs circulaires des particules, Presses Universitaires de France, Paris, 1966.
A. Hofmann and J.M. Jowett, Theory of the Dipole-Octupole Wiggler, Part I: Phase Oscillations, CERN/ISR-TH/81-23 (1981).
E.D. Courant and H.S. Snyder, Theory of the alternating gradient synchrotron Ann. Phys. 3, 1 (1958).
N. Wax (ed.), Selected papers on noise and stochastic processes, Dover, New York, 1954.
V. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, New York, 1978.
A.C. Hearn, REDUCE User's manual, Rand Corporation Publication CP78, (1984).
A. Piwinski, Synchro-betatron resonances, these proceedings.
M. Bassetti, Effects caused by betatron oscillations in LEP, CERN-LEP Note 184 (1979).
J.M. Jowett, Dynamics of electrons in storage rings including non-linear damping and quantum excitation effects, Proc. 12th International Conference on High-Energy accelerators, Batavia, 1983 and CERN LEP-TH/83-43, 1983.
R.H. Helm et al., Evaluation of synchrotron radiation integrals, IEEE Trans. Nucl. Sci. NS-20, 900 (1973)
J.M. Jowett, Luminosity and energy spread in LEP, CERN-LEP-TH/85-04 (1985).
A.W. Chao et al., S. Myers, J.T. Seeman, these proceedings.
A. Hofmann, Attempt to change the longitudinal particle distribution by a dipole-octupole wiggler, CERN-LEP Note 192 (1979).
A. Hofmann, J.M. Jowett and S. Myers, Change of the energy distribution in an electron storage ring by a dipole-octupole wiggler, IEEE Trans. Nucl. Sci. NS-28, 2392 (1981)
J.M. Jowett, Theory of the Dipole-Octupole Wiggler, Part II: Coupling of Phase and Betatron Oscillations, CERN-ISR-TH/81-24 (1981).
J.M. Jowett, Non-linear wigglers for large e +e− storage rings, Proc. 12th International Conference on High-Energy accelerators, Batavia, 1983, and CERN-LEP-TH/83-40 (1983).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jowett, J.M. (1986). Non-linear dissipative phenomena in electron storage rings. In: Lecture Notes in Physics. Lecture Notes in Physics, vol 247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107354
Download citation
DOI: https://doi.org/10.1007/BFb0107354
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16455-5
Online ISBN: 978-3-540-39792-2
eBook Packages: Springer Book Archive