Abstract
The rules of linear beam dynamics allow the design of beam transport systems with virtually any desired beam characteristics. Whether such characteristics actually can be achieved depends greatly on our ability or lack thereof to control the source and magnitude of perturbations. Only the lowest-order perturbation terms were discussed in [4.1] in the realm of linear, paraxial beam dynamics With the continued sophistication of accelerator design and increased demand on beam quality it becomes more and more important to also consider higher-order magnetic field perturbations as well as kinematic perturbation terms.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. Wiedemann: Particle Accelerator Physics I (Springer, Berlin, Heidelberg 1993 )
SLAC-LINEAR-COLLIDER. Conceptual Design Report, SLAC- 229 (1981)
G.E. Fischer: Ground Motion and its Effects in Accelerator Design, ed. by M. Month, M. Dienes, AIP Conf. Proc., Vol. 153 ( American Institute of Physics, New York 1987 )
N. Vogt-Nielsen: Expansions of the characteristic exponents and the Floquet solutions for the linear homogeneous second order differential equation with periodic coefficients. Int. Note, MURA/ NVN/ 3 (1956)
H. Wiedemann: Chromaticity correction in large storage rings. Int. Note PEP-220, SLAC (1976)
P.L. Morton: Derivation of nonlinear chromaticity by higher-order “smooth approximation”. Int. Note PEP-221, SLAC (1976)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Wiedemann, H. (2003). Higher-Order Perturbations. In: Particle Accelerator Physics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05034-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-662-05034-7_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00672-5
Online ISBN: 978-3-662-05034-7
eBook Packages: Springer Book Archive