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Phase space convention used

Figure 1: Convention used for the longitudinal phase space
Image phasespaceconvention
Figure 2: Legend of phase space plots. Most of the time, plots will be in plane $ x$-$ x'$, $ y$-$ y'$ and $ z$-$ z'$, where $ z'=\delta p/p$. In this document phase space plots will be displayed in three different ways. Either a single ellipse (left plot), which is the canonical translation of the sigma matrix (beam matrix). Either a scatter corresponding to each particle coordinates, with the canonical ellipse (middle plot). Or, more informations can be provided by showing the density of the particles with faded colors(right plot). Red color translating a high density of particles, as opposite to ligther colors. The canonical ellipse is also plotted.
Image phasespaceconvention2

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Next: Dipole points definition | Up: Introduction | Previous: On the RMS definition and notation |
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Emmanuel Branlard