Cart (Loading....) | Create Account
Close category search window
 

One dimensional motion in a thick sextupole-a comparison of tracking methods with the exact solution

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Hagel, J. ; CERN, Geneva, Switzerland ; Zotter, B.

It is shown that the comparison of Taylor-series mappings with the exact solution of the one-dimensional equations of motion for a charged particle in a sextupole permits the derivation of explicit expressions for the convergence. The existence of a limiting step size is found. It depends in general on the initial conditions (x0, u0) but not on the order of the mapping. These results are similar for all multipolar elements, and they restrict tracking of accelerator lattices by Taylor mappings to a maximum step size. Hence, concatenation of too many nonlinear elements will become divergent even for arbitrary high orders in the expansion of a map. This restriction of concatenation applies also to kick codes, although the zero length of a single element guarantees that the mapping does not diverge element by element. In practice, the convergence of a concatenated map can be tested by comparing results for different step sizes

Published in:

Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE

Date of Conference:

20-23 Mar 1989

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.