The coupling impedances of the beam position monitors, consisting of two
strip lines with length 
cm, each subtending an azimuthal angle 
rad and having a characteristic
impedance 
, are
where 
is the total number of monitors and we have assumed
that each strip-line plate has a radial distance 
mm from the beam
axis. Monitors are provided close to each quadrupole to measure the
horizontal or vertical beam position and the factor 
appearing in
the transverse impedance 
accounts for the fact that only half
of the monitors contribute in a given plane; the betatron function to be
used in Eq. (2) for the transverse tune shifts is however 
m, i.e. the maximum beta in the regular arc. If the
monitors were equipped with four strip lines, to measure the horizontal and
vertical beam position at the same time, the longitudinal impedance would be
multiplied by a factor two but the transverse tune shifts would remain
almost the same, since half of the monitors would be at the minimum beta 
m.
Table 4: Coherent tune shifts at injection due to strip-line monitors.
The tune shifts at injection for a nominal bunch population 
are shown in Tab. 4: as can be seen, the only
significant contribution is that to the transverse dipole tune shift 
. The effective impedances, defined here as the
overlap integrals with the bunch power spectrum 
, are
