Abstract
I give a final summary of this book. It is as much an introduction as it is a conclusion since it describes what I wanted to achieve and what I have actually achieved. I try here to show pictorially using Fig. 9.1 what I call the universal Courant-Snyder loop. It ties, in the code, map perturbation theory and standard Hamiltonian theory.
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Notes
- 1.
You can run FPP as a standalone and glue it to a code written in Fortran 90. It is a library. You cannot run PTC with another library easily. However you could analyse the maps of PTC with a different library. For example my complex library is not the TPSA library used by PTC!
- 2.
For a transfer line or a linear accelerator, the canonical transformation usually describes the moments of the input distribution. I did not discuss this topic because it is a trivial generalisation: the initial canonical transformation is computed externally.
- 3.
There is another option: the code can absorb other codes. The code BMAD of Cornell has literally swallowed everything in sight. So in BMAD you are most likely to change the model or ask its programmer to increase its dominion.
- 4.
In reality this map could include nonlinear time slip terms not present in the classical pendulum map, but this is a tiny detail that can easily be included.
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Forest, E. (2016). Here Is the Conclusion of This Book. In: From Tracking Code to Analysis. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55803-3_9
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