Overview
Is the only book that describes perturbation theory with an absolute and uncompromising focus on tracking codes
Details an approach to developing perturbation theory that can be used in any code: from a map-based theory to the full s-dependent Hamiltonian perturbation theory à la Guignard-Deprit
Unifies nonlinear orbital motion with AC magnet, spin and radiation effects into one universal theoretical framework
Presents the nonlinear spin-orbit “Twiss” loop in full
Includes supplementary material: sn.pub/extras
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
- Accelerator Perturbation Theory
- Circular Accelerators
- Map-based Perturbation Theory
- Operator Overloading
- PTC Manual
- TPSA
- The Hierarchy of the Code
- The Lens Paradigm
- Theory with an Absolute
- This is the Only Book Which Describes Perturbation
- Truncated Power Series Algebra
- and Uncompromising Focus on Tracking Codes
About this book
This book illustrates a theory well suited to tracking codes, which the author has developed over the years. Tracking codes now play a central role in the design and operation of particle accelerators. The theory is fully explained step by step with equations and actual codes that the reader can compile and run with freely available compilers.
In this book, the author pursues a detailed approach based on finite “s”-maps, since this is more natural as long as tracking codes remain at the centre of accelerator design. The hierarchical nature of software imposes a hierarchy that puts map-based perturbation theory above any other methods. The map-based approach, perhaps paradoxically, allows ultimately an implementation of the Deprit-Guignard-Schoch algorithms more faithful than anything found in the standard literature. This hierarchy of methods is not a personal choice: it follows logically from tracking codes overloaded with a truncated power series algebra package.
After defining abstractly and briefly what a tracking code is, the author illustrates most of the accelerator perturbation theory using an actual code: PTC. This book may seem like a manual for PTC; however, the reader is encouraged to explore other tools as well. The presence of an actual code ensures that readers will have a tool with which they can test their understanding. Codes and examples will be available from various sites since PTC is in MAD-X (CERN) and BMAD (Cornell).
Authors and Affiliations
About the author
Bibliographic Information
Book Title: From Tracking Code to Analysis
Book Subtitle: Generalised Courant-Snyder Theory for Any Accelerator Model
Authors: Etienne Forest
DOI: https://doi.org/10.1007/978-4-431-55803-3
Publisher: Springer Tokyo
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Japan 2016
Hardcover ISBN: 978-4-431-55802-6Published: 31 March 2016
Softcover ISBN: 978-4-431-56696-0Published: 25 April 2018
eBook ISBN: 978-4-431-55803-3Published: 22 March 2016
Edition Number: 1
Number of Pages: XXIII, 347
Number of Illustrations: 11 illustrations in colour
Topics: Particle Acceleration and Detection, Beam Physics, Numerical and Computational Physics, Simulation, Programming Techniques