Table 4 presents a summary of the characteristics of the storage ring’s electron beam:

Table 4: Principal characteristics of the electron beam.

Table 5 gives the main optics functions, electron beam sizes and divergences at the various source points. For insertion device source points, the beta functions, dispersion, sizes and divergences are computed in the middle of the straight section. Two representative source points of bending magnet radiation have been selected, corresponding to observation angles of 3 mrad and 9 mrad from the exit, which correspond to different magnetic fields. Electron beam profiles are Gaussian and the size and divergence are presented in terms of rms quantities. The associated full width half maximum sizes and divergences are 2.35 times larger. Horizontal electron beam sizes and divergences are given for the uniform filling modes and apply to almost all filling patterns except for the single bunch, for which a slightly larger size and divergence is attained due to the increased energy spread of the electron beam. Vertical electron beam sizes and divergences apply to the Uniform, 2 x 1/3 and Hybrid filling modes only. To increase the lifetime of the stored beam, the vertical beam sizes and divergences are increased typically by 50% in the 16 and 4 bunch filling patterns.

Table 5: Beta functions, dispersion, rms beam sizes and divergences for the various source points of the ESRF.

The lifetime, bunch length and energy spread depend, to a large extent, on the filling pattern. These are given in Table 6 for a few representative patterns. Note that in both the 16 bunch and 4 bunch filling patterns, the energy spread and bunch length decay with the current (the value indicated in the table corresponds to the maximum current). The bunch lengths are given for the usual RF accelerating voltage of 8 MV.

Table 6: Current, lifetime, bunch length and energy spread in various representative filling modes.