Coincidence Experiments for Noise Reduction in Scintillation Counting by Hartmut Kallmann and Carl A. Accardo
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An overview of this paper from a 1998 letter to Dr. Richard Bingham by Dr. Carl Accardo
 "The first was the arrival of Dr. Hartmut Kallmann, in 1948 to the Signal Corps Engineering Laboratories.  He was a distinguished German scientist who had rejuvenated the idea that high energy radiation (betas, gammas et al) would upon being absorbed in certain materials (called scintillators) produce a detectable quantity of light emission by means of a high-gain photomultiplier.  Kallmann was an extremely energetic researcher and while I was associated with him at Evans, we performed basic research on a coincidence technique to extend the lower limit of the detection of the very weakest scintillations masked by the noise of the photomultiplier.  Kallmann was the honored guest at the First Scintillation Convention Symposium held at Oak Ridge, Tennessee in 1949 or 1950 (I cannot remember the year).  He later accepted an appointment as a full professor of Physics at New York University where he  directed a leading laboratory in the fields of organic luminescence, solid state physics, and he trained many graduate students for careers in these disciplines.  Dr. George Brucker (still at Ft. Monmouth) and myself obtained graduate degrees at New York University under his mentorship.  There is a more complete biography included in the Kallmann obituary published in Physics Today in October, 1978. "
Thanks to Dr. Carl A. Accardo for providing a copy of this paper.

 

Camp Evans

Technical Publication

THE REVIEW OF SCIENTIFIC INSTRUMENTS, 
Vol. 21, No. 1,
January, 1950

 
 
Page 48 - 51
  evans logo

Coincidence Experiments for Noise Reduction in Scintillation Counting

HARTMUT KALLMANN* AND CARL A. ACCARDO
Signal Corps Engineering Laboratories, Fort Monmouth, New Jersey
(Received August 1, 1949)

A method is described which permits discrimination between noise pulses and pulses of small light flashes.
The arrangement consists of three multipliers facing the three faces of one and the same crystal.  One
multiplier acts on the "Y" axis, another on the X axis and the third one on the Z (intensity) axis of an
oscilloscope.  Light flashes induce pulses in all multipliers simultaneously, whereas noise-pulses occur at
random and produce triple-coincidence pulses only very rarely . Triple coincidences are easily recorded with
the scope.  Pictures are presented illustrating the operation of the arrangement.  The original noise being of the
order of three thousand per second was dropped to one noise pulse in three seconds .

 
     THE main difficulty in scintillation work is that
when light flashes of small intensity are recorded,
the counting rate is limited by the number of noise
pulses of comparable size occurring in the multiplier
tube itself. These pulses are caused by single electrons
released from the photo-cathode by thermal collisions;
their multiplication in the tube creates a pulse. It has
been found by Morton and Mitchell 1 that these single
electron pulses are not of equal size but exhibit a whole
distribution of pulse sizes.  Thus, it may occur that
pulses produced by a single electron are even ten times
larger than the average pulse size produced by single
electrons.  On the other hand, a pulse induced by the
simultaneous emission of ten electrons from the photocathode by a light flash undergoes fluctuations,
and it may be that its actual pulse height is considerably less than its medium pulse height; therefore, even pulses
originating in the simultaneous emission of several
electrons cannot be distinguished with certainty from
noise pulses.

I. DISCRIMINATION BETWEEN NOISE PULSES AND
LIGHT FLASHES

     In this paper, two methods are described which make
it possible to distinguish between noise pulses and pulses
produced by light flashes from a crystal . For this purpose
a crystal was used which emitted its light to three
multipliers simultaneously as illustrated in Fig. 1.  The

faces of the crystal are chosen so that all light proceeding
from them can geometrically enter the multiplier window.  The multipliers of Type 931A are operated as shown in Fig. 1 . One multiplier, called the "Y" multiplier, is connected to the Y axis of the scope and causes
deflections of the cathode-ray beam in this direction .
The second, the X multiplier, is connected to the X axis
of the scope and causes deflections in this direction . This
deflection may be produced by the pulse itself which is
directly fed into the X plates through an amplifier ; then
the X deflections are proportional to the pulse intensity
(arrangement B) or the pulse may be used to trigger a
sweep in this direction giving deflections independent of
the pulse intensity (arrangement A). The third, the Z
and,r multiplier, is connected to the Z axis amplifier of the
scope and regulates the cathode-ray beam intensity according to the size of its pulses.
     The cathode-ray beam operates simultaneously in all
three directions only if all three multipliers produce a
pulse at the same time and only then a deflection of the
beam in the Y direction is to be seen when using method
A.  Noise pulses occurring in the multipliers are entirely
distributed at random and are independent of each
other.  If the duration of a pulse is given by T, and if the
number of noise pulses per second is described by n, the
probability of noise pulses occurring in two multipliers
simultaneously is given by nr and that of noise pulses
coinciding in all three multipliers is given by .
fig. 1
* Now at Washington Square College of Arts and Science, New York University, New York.
1 G. A. Morton and J . A. Mitchell, Nucleonics 4, 16 (1949) .

48


 
49                              NOISE    REDUCTION    IN    SCINTILLATION    COUNTING
fig. 2

     From this it follows that the number of accidental
triple coincidences or the number of events caused by
noise pulses in which all three multipliers operate
simultaneously is given by 
with nT sufficiently small, as is usually the case. The number of triple coincidences caused by noise pulses is therefore much smaller than the noise number in one single tube.
     If, however, some exterior radiation induces a light
flash in the crystal this will induce pulses in all multipliers
at the same time, therefore the number of light
flashes counted is not reduced by this device . By this
method light flashes of small intensity proceeding from
the crystal can easily be counted even if noise pulses are
much more frequent than the light flashes. With a pulse
duration of 10-6 second and a noise number of 1000 per
second, the number of counted noise pulses is reduced by
a factor of 10-6. This means that only after 1000 seconds
one accidental triple coincidence occurs in the device .
Exterior radiation with such a small counting rate could
be detected by this device .

II. EXPERIMENTAL RESULTS

     Experiments were carried through according to arrangements A and B and with a small stilbene crystal
operating on all three multipliers. The crystal was not
very transparent but exhibited considerable light scattering, therefore, the light flashes excited within the
crystal did not emit equal light intensities to all
multipliers, nevertheless, the pulses of gamma-photons
were always indicated by the operation of all three
multipliers. Gamma-intensities which were difficult to
detect with one multiplier tube since they were covered
by noise pulses were easily detected with this triple
coincidence arrangement . The counting of pulses was
performed photographically .

A. Recording of Y-Pulses in Arrangement A

     With arrangement A, the fluorescent screen of the
scope was shielded and only a small strip of the screen
parallel to the Y axis was visible, on which the pulses
produced by light flashes occur.  The film was made to
run continuously parallel to the X axis.  The oscilloscope
used had a frequency limit of about 0.5 microsecond and

a sweep duration of 5 microseconds.  According to these
limits the duration of the pulses was chosen of the order
of half a microsecond. If, for instance, a light flash starts
a sweep, a deflection of the cathode-ray beam is seen
half a microsecond after the beginning of the sweep since
the Y pulses were delayed by half a microsecond to make
them appear fully on the scope. With a high noise rate
it is possible that an accidental noise coincidence in the
Y and Z multiplier will occur during the 5 microsecond
duration of a sweep started by a light flash or a noise
pulse in the X multiplier. Such an accidental coincidence
pulse in the Y and Z multiplier is registered on the scope
by a visible deflection of the cathode-ray beam, however,
this deflection does not generally occur at the same
position on the scope as the gamma-pulses but appears
on another position since they are randomly distributed
over this time interval . These pulses were canceled by
the described shielding of the scope.
     To begin with the noise pulses of the tube were
counted by connecting one multiplier to all three axis
and were found to be of the order of 3000 per second.
Then this arrangement was adjusted in such a way that
all pulses excited by light photons were also recorded.
Figure 2 describes a "still picture" of these noise pulses
with an exposure time of 1/100 of a sec. Numerous small
pulses are hidden by the strong intensity at small deflections.  Figure 3 demonstrates a similar experiment
with an additional exterior gamma-radiation of about
10,000 absorbed quanta per minute. On the other hand
Figs. 4 and 5 show still pictures with the triple coincidence
arrangement A with an exposure time of 1/10 of a
second. Figure 4, without exterior radiation, is blank
since the noise counting rate with the triple coincidence
arrangement is very low. Figure 5 shows pulses induced
by exterior gamma-radiation .
     Visual counting and counting with a running film

fig. 3


H.   KALLMAN   AND    C.  A.   ACCARDO                                 50
fig. 4
showed one noise pulse every 4 or 5 seconds .  With a
pulse duration of a microsecond and with 3000 noise
pulses per second one triple coincidence would have been
expected every 25 seconds according to the above
described equations . The difference between the observed number of accidental triple coincidence and the
calculated one may be due to a difference in the number
of noise pulses occurring in the different multipliers .
Besides this, the width of the visible strip on the scope
was a little wider than the width of the pulses, as can be
seen in Figs. 2, 3, and 5. As a result such accidental
coincidences could also be seen or recorded which occurred during a time duration somewhat longer than
that of the actual pulse. A part of the coincidences
observed without exterior gamma-radiation are undoubtedly real light flashes from the crystal caused by
contamination of the counting chamber or by cosmicradiation particles.  If the triggering of the beam intensity was switched off and if the cathode-ray beam
intensity turned on so high that the beam could be
permanently seen, 50 pulses per second were approxi- proximately counted.  These were accidentally occurring noise pulse coincidences in the X and Y circuits.

B. Recording with Arrangement B

     The investigations according to method B are described in Figs. 6 through 10. Figures 6 and 7 check the experimental arrangement.  They give a picture of the
screen when only one multiplier was connected to all
three axis.  In Fig . 7 not only the pulses produced by the
exterior radiation but also the noise pulses cause deflection of the cathode-ray beam. Since the amplifiers in the Y and X axis were adjusted to equal amplification the
deflection of the pulse gives straight lines in the 45°
direction, in these pictures each pulse is recorded by
curves with two traces, a bright trace and one not quite
so bright . These two curves occur from the rise and the
decay of the pulse (the latter part the bright trace.)
That they do not coincide is due to a small difference in
the amplifiers used. In this picture, Fig . 6, again only
noise pulses of larger intensity can be seen clearly, due to
strong intensities of the cathode-beam traces at small
deflections . Figure 7 describes a picture in which pulses
of exterior radiation as well as noise pulses are seen. It is
hard to distinguish between noise or light pulses as
observed in Figs. 6 and 7.
      Figure 8 describes a photographic picture with the
same arrangement but with a pulse running over the Y
axis delayed by half a microsecond. For this reason the
pulse does not start in the 45° direction but starts from

the X axis and then exhibits a sharp deflection in the Y
direction corresponding to the sharp rise of the pulse,
and then the pulse decays not in a 45° direction but in
the direction the tangent of which is given by 
 where r is the decay time of the pulses and A describes the time delay impressed on the Y axis. These curves show how easily coincidence or small time differences between pulses can be determined by this method.
      Figures 9 and 10 describe the same operation with the triple coincidence arrangement B ; in this case in all three directions different multipliers are operating.  It is seen from the photographic pictures that the rise curve
and the decay curve do not even nearly coincide in this
case ; this is due to the fact that the preamplifiers used
for this work were not identical but exhibited a little
difference in rise times. It is further noted that the decay
curve is not represented by a straight line but by an
inflected curve and the tangent of the angle of inclination
varies along the curve. But it is found that the
curves start from the same point ; this means that there
is no time delay between the X and Y pulses. The inflection of the curve is completely due to small difference
in time constants of the multiplier and preamplifier circuits used. If this difference in time constants is given by A the tangent varies as 
      These pictures, Fig. 9 and Fig . 10, further indicate
that the intensity ratio between the Y and the X pulses
is not the same for different pulses but varies from pulse
to pulse se pro m e intensity of the light flashes
proceeding from the crystal to the different multipliers
is not the same.This intensity ratio can be determined
by connecting the point of largest deflection with the
origin. If the same pictures were taken without exterior
radiation, they were again completely blank, all noise
pulses were eliminated, since noise pulses coinciding in
the Y and Z circuit or the X and Z circuit respectively

fig. 5


51                              NOISE    REDUCTION    IN    SCINTILLATION    COUNTING
Fig. 6 - 7
are generally deflected only in the Y or X direction but
not under a definite angle between the Y and X axis.
The method developed makes it possible to compare the
light emission of a crystal through the different faces of
this crystal.
 
III. CONCLUSIONS


     These methods are not only operable with one single
crystal but also with different crystals excited by the
same radiation . In this case each multiplier is excited by
a different crystal. The noise pulses are eliminated in the
same ratio as previously described since only pulses are
recorded in which all multipliers operate simultaneously .
In this case not only three but a great number of crystals
may be used and connected to the Y axis over delay lines
with different time delay. Using arrangement A all these
multipliers excite deflection in the Y direction which are
seen on the screen with different fixed distances on the
driven sweep. In this way one photographic picture of
the light emission of different crystals energized, for
instance, by one event of cosmic radiation can be taken.
A similar arrangement can be used for many crystals in

fig. 8 - 9 - 10
case of arrangement B ; the pulses of different crystals
are then fed to the plus and minus Y and plus and minus
X axis with equal time delays . In this way the light
flashes proceeding from nine crystals can be recorded
simultaneously on one picture .
     The limit of this method is given by the intensity of
the light which hits the photo-cathode of the different
multipliers. If the light intensity hitting the photocathodes
from one light flash is so small that each light
flash does not release one electron, then the number of
counted light flashes will decrease. Only when the light
flashes release at an average at least one electron
is there no decrease in the number of counted light
flashes. If the probability that one light flash releases
one electron is given by P aid if this number is smaller
than one, then the number of counted light flashes is
diminished by a factor of P2. Nevertheless, this method
of triple coincidence will be advantageous as long as the
factor P which diminishes the number of counted light
flashes is larger than the factor nr which diminishes the
number of noise pulses . 

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