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arXiv · 1901.09742

On emittance and optics calculation from the tracking data in periodic lattices

Malte Titze
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Abstract

In this work we examine the interplay between normal form and matched particle distributions in a linear setting. We first outline the connection between the established sigma-matrix method and Williamson's Theorem. Then we show that the Iwasawa decomposition provides a natural framework for a description of beam optics parameters. Along the way we will apply these methods to a realistic tracking example, as well as provide additional examples, including the connection to the parameterization of Courant-Synder.

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Malte Titze. 2019-01-28. On emittance and optics calculation from the tracking data in periodic lattices. https://arxiv.org/abs/1901.09742

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