From Tracking Code to Analysis: Generalised Courant-Snyder Theory for Any Accelerator Model

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Etienne Forest

From Tracking Code to Analysis

Name: From Tracking Code to Analysis
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ISBN: 9784431566960

Generalised Courant-Snyder Theory for Any Accelerator Model

Etienne Forest

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English

Springer Verlag, Japan
25 April 2018

Nuclear structure physics; Mathematical physics; Object-oriented programming (OOP)

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).

By: Etienne Forest
Imprint: Springer Verlag, Japan
Country of Publication: Japan
Edition: Softcover reprint of the original 1st ed. 2016
Dimensions: Height: 235mm, Width: 155mm, Spine: 20mm
Weight: 5.621kg
ISBN: 9784431566960
ISBN 10: 4431566961
Pages: 347
Publication Date: 25 April 2018
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Introduction.- The linear transverse normal form: one degree of freedom.- The nonlinear transverse normal form: one degree of freedom.- Classification of linear normal forms.- Nonlinear normal forms.- Spin normal form.- The nonlinear spin-orbital phase advance: the mother of all algorithms.- Deprit-Guignard perturbation theory faithful to the code.- Here is the conclusion of this book.- Phasors basis: why do I reject symplectic phasors?.- The logarithm of a map.- Stroboscopic average for the ISF vector n.- Hierarchy of Analytical Methods.

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