LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

γεx,y (µm) yn
10
0
–10 –10 0 10
0.8
0.4
0
3-2001
8560A88
γεx
γεy
L C L S C O N C E P T U A L D E S I G N R E P O R T
xn
ζ x,y (mm)
x'n
10
0
–10 –10 0 10
–1 0
1
0
–1 0 1
∆z (mm) ∆z (mm)
Figure 6.24 Normalized transverse phase space at the exit of L0 for 100K particles. (1) Distribution
of particles in the beam (upper plots). The scales are derived from the right-hand figure
in which the rms emittance ellipse in the x-x' plane (only) is normalized to a circle
having a radius of unity. (2) Transverse normalized slice emittances (lower left plot) in
both planes and mismatch parameter, ζ, (lower right plot) in both planes along the
bunch z-axis. In this figure, the bunch head is at the left, as in the convention of
Chapter 7, Accelerator.
The phase space plots for a series of 9 slices identified in the lower right plot of Figure 6.24
are displayed in Figure 6.25. The blue/dark background in each case is the full projection in the
x-x' plane, identical to the upper right plot of Figure 6.24. The red/light area represents the
distribution in the x-x' plane of the particles in the particular slice. Note that the "halo" (particles
outside the main core) occurs primarily in the first (head) and last (tail) slices.
1.0
0.5
xn
ζ x
ζ y
6-53 ♦ I NJECTOR