Implementation of Perturbation Theory in a Tracking Code

ISBN 10: 4431558020 / ISBN 13: 9784431558026

Published by Springer

About this Item

PRINT ON DEMAND pp. 250.

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Bibliographic Details

• Title: Implementation of Perturbation Theory in a Tracking Code
• Publisher: Springer
• ISBN 10: 4431558020
• ISBN 13: 9784431558026
• Condition: New

About this title

Synopsis

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).

About the Author

Etienne Forest, the author, is a professor at  KEK, the High Energy Accelerator Research Organization in Tsukuba, Japan.