28/02/24

  

3)Spill Duty Factor 
-------------------

Machine physicists measure the overall characteristics of a beam
by the spill duty factor(SDF). This is defined  as 
 (mean intensity)**2/(mean of  intensity**2).
Thus a uniform beam  would have a SDF of unity and any variations in 
in intensity would reduce the SDF.

See  Page 8 of  Fig 2, Fig 3
for plots of the SDF  for low (12288)  and higher (12567) beam intensity
runs, respectively.

For run 12288 with statistical noise only, the SDF would be expected to
be  ~0.98 .  A value of ~0.92 is found due to the RMS of the beam being 
a factor ~2 larger than the statistical expectation.  In addition, some bursts have lower
values of the SDF due to the 100 Hz noise ( see  plots on Page 4, Fig 2).

The SDF provides  a straightforward way of selecting bursts with less than optimum noise levels.
It is suggested that this parameter be used to define burst quality.


Essential plots:
---------------

Fig 3 Run 12567.
Fig 4 Run 12288.
Fig 5 Run 13662.

SDF = mean**2/(mean**2 + RMS**2)


Essential plots - long burst:
----------------------------

Fig 3l Run 12567.
Fig 4l Run 12288.  *
Fig 5l Run 13662.


Minimal plot - long burst 5 +1 figs
-----------------------------------


Fig 4lmin Run 12288.  *




Full plots 
----------

Fig 6 Run 12567.
Fig 7 Run 12288.
Fig 8 Run 13662.


Spill trigger plots
-------------------

Fig 9 Run 12288. rdat35.f (peak at low time)

These plots  show the distribution of the time of
the maximum of the number of triggers/5ms in the spill.

The first plot (Fig. 1a) shows the time distribution of the maximum;
a clear peak is evident close to the start of the spill in
the time range 1459 to 1500 ms. This peak is present
in ~ 7% of bursts ( See Fig.3).
The 2D distribution of time vs maximum is shown in Figs 1b 
and 2. For this run, apart from the peak at the start of the
sill, there is a trend for the intensity to be highest
towards the end of the spill. The maximum intensity 
does not show a significant dependence on the trigger time
(see Figs 1b,1c and 1d). 


Fig 10  Run 12165.  rdat45.f (min at spill centre)
Fig 11 Run 12567.  rdat15.f (peak at low time)
Fig 12 Run 13662.  rdat55.f (peak at high time)

Four/six file plots
-------------------

Fig 1 Time of spill-maximmum for triggers.


Fig 2 Time of spill-maximmum vs spill-maximum  for triggers.
Use this version:  has an overlay of the projection of spill maximumm in red 16/03/24 ie. has Fig. 1 included,
spill51.f  to spill52.kumac . Note factor 2 in 6001 - 6004 histo. weighting for plot visibility of projection.


Fig 3 Extended version of Fig 2 - includes mean and RMS


Fig 4 Two plots: Maximum  and BQI   (RMS - mean RMS).


Fig 5 Multiple plots ref05.txt ----4 files
Smoothing studies for RMS.  spill54dev.f spill54dev.kumac .  /data/na62_01/skilli-bqi
source setcd
./trans *       eg ./trans spill54

Fig 6 Multiple plots ref06.txt ----4 files
Smoothing studies for RMS.  spill64dev.f spill64dev.kumac .  /data/na62_01/skilli-bqi


Fig 7 Multiple plots ref06.txt ----6 files
Smoothing studies for RMS.  spill66dev.f spill66dev.kumac .  /data/na62_01/skilli-bqi