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From Tracking Code to Analysis - Generalised Courant-Snyder Theory for Any Accelerator Model (Hardcover, 1st ed. 2016)
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From Tracking Code to Analysis - Generalised Courant-Snyder Theory for Any Accelerator Model (Hardcover, 1st ed. 2016)
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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).
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