This book covers the principles and applications of differential algebra, a powerful new mathematical tool. The authors discuss the uses for the computation of transfer maps for all kinds of particle accelerators or any weakly nonlinear dynamical system, such as planetary orbits. The book is of interest to graduate students and researchers working in a broad range of disciplines, including applied mathematics, beam physics (accelerator physics, particle optics, geometric light optics), astronomy, and electrical engineering. Topics covered include transfer matrices, mechanics and electrodynamics, nonlinear motion, differential algebra, the structure of the classes, computer implementations, nonlinear maps, one pass systems, and repetitive systems.
By:
Martin Berz, Kyoko Makino, Weishi Wan Imprint: Taylor & Francis Ltd Country of Publication: United Kingdom Dimensions:
Height: 234mm,
Width: 156mm,
Spine: 30mm
Weight: 612g ISBN:9780750302630 ISBN 10: 0750302631 Series:Series in High Energy Physics, Cosmology and Gravitation Pages: 324 Publication Date:03 December 2014 Audience:
College/higher education
,
Professional and scholarly
,
Professional & Vocational
,
A / AS level
,
Further / Higher Education
Format:Hardback Publisher's Status: Active
Beams and Beam Physics. Linear Beam Optics. Fields, Potentials, and Equations of Motion. The Linearization of the Equations of Motion. Computation and Properties of Maps. Linear Phase Space Motion. Imaging Devices. The Periodic Transport. Lattice Modules. Synchrotron Motion. Resonances in Repetitive Systems. References. Index.