CHAPTER 9 POSITION SENSITIVE PHOTOMULTIPLIER TUBES · Common methods for reading out the output...
Transcript of CHAPTER 9 POSITION SENSITIVE PHOTOMULTIPLIER TUBES · Common methods for reading out the output...
The current multiplication mechanism offered by dynodes makes
photomultiplier tubes ideal for low-light-level measurement. As ex-
plained earlier, there are various types of dynode structures available
for different photometric purposes. Popular conventional dynode struc-
tures are the box-and-grid type, linear-focused type, circular-cage type
and venetian-blind types. Furthermore, the MCP (microchannel plate)
has recently been utilized as a dynode structure.
Two unique dynode structures are introduced in this chapter: the
"metal channel dynode" and "grid type dynode". These dynode struc-
tures provide wide dynamic range, high gain, high position resolution,
and are currently used in position-sensitive photomultiplier tubes.
Common methods for reading out the output signal from a position-
sensitive photomultiplier tube are illustrated in Figure 9-1. In a
multianode device, the output signal is read using independent mul-
tiple anodes. The cross-plate (wire) anode signal is read out by means
of current or charge-dividing center-of-gravity detection.
CHAPTER 9POSITION SENSITIVE
PHOTOMULTIPLIER TUBES
© 2007 HAMAMATSU PHOTONICS K. K.
168 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
Y2
Y1
X=X1+X2
X2DIV.
X1 X2SUM
CROSS-WIRE (PLATE) ANODE
MULTI ANODE
CHARGE-DIVISIONREADOUT CIRCUIT
RESISTORS
THBV3_0901EA
Figure 9-1: Anode output readout methods for position sensitive photomultiplier tubes
The following sections describe "metal channel dynode structures
combined with multianode readout", "metal channel dynode structures
combined with a cross-plate anode" and "grid type dynode structures
combined with a cross-wire anode" for position sensitive photomulti-
plier tubes.
© 2007 HAMAMATSU PHOTONICS K. K.
9.1 Multianode Photomultiplier Tubes 169
9.1 Multianode Photomultiplier Tubes
9.1.1 Metal channel dynode type multianode photomultiplier tubes
(1) Structure
Figure 9-2 shows the electrode structure for metal channel dynodes and the associated electron trajecto-ries. Compared to the other types of dynodes, metal channel dynode type multianode photomultiplier tubesfeature very low crosstalk during secondary electron multiplication. This is because the photoelectronsemitted from the photocathode are directed onto the first dynode by the focusing mesh and then flow to thesecond dynode, third dynode, . . . last dynode and finally to the anode, while being multiplied with aminimum spatial spread in the secondary electron flow.
The overall tube length can be kept short because the metal channel dynodes are very thin and as-sembled in close-proximity to each other.
PHOTOCATHODE
METAL CHANNELDYNODES
MULTIANODE
FOCUSING MESH
THBV3_0902EA
Figure 9-2: Electrode structure and electron trajectories
Multianode photomultiplier tubes using metal channel dynodes can be roughly classified into two groups.One group uses a matrix type multianode and the other group uses a linear type multianode.
© 2007 HAMAMATSU PHOTONICS K. K.
170 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
M4 M16
MatrixType
Anode Shape
Number of Anodes
Pixel Size(mm)
Linear
Metal Channel Dynode Multianode Photomultiplier Tubes
Matrix
M64 L16 L32 M64
4 16 64 16 32 64
9 × 9 4 × 4 2 × 2 0.8 × 16 0.8 × 7 5.8 × 5.8
THBV3_0903EA
Figure 9-3: Anode patterns for metal channel dynode type multianode photomultiplier tubes
(2) Characteristics
In this section, we first describe basic characteristics of matrix type multianode photomultiplier tubesby discussing "crosstalk", "magnetic immunity" and "uniformity" in 64 channel matrix type multianodes.
"Crosstalk" is a measure to indicate how accurately the light (signal) incident on a certain position of thephotocathode is detected while still retaining the position information. In photomultiplier tube operation,crosstalk is mainly caused by the broadening of the electron flow when light is converted into electrons andthose electrons are multiplied by the dynode section. The incident light spread within the faceplate isanother probable cause of crosstalk.
A typical setup for measuring crosstalk is shown in Figure 9-4 and an example of measurement data inFigure 9-5.
UV SPOT LIGHT SOURCE
QUARTZ FIBER
SCINTILLATING FIBER(KURARAY, L=3 m)
d
PMT
HIGH VOLTAGEPOWER SUPPLY
AMMETERTHBV3_0904EA
Figure 9-4: Crosstalk measurement method
© 2007 HAMAMATSU PHOTONICS K. K.
9.1 Multianode Photomultiplier Tubes 171
0.3 1.4 0.4
0.8 1.2
0.2 1.1 0.3
100
0.4 2.6 0.6
1.5 1.9
0.3 1.8 0.4
100
d=0 mm d=0.5 mm
SCINTILLATING FIBER (1.0 mm dia.)SUPPLY VOLTAGE: 800 (V)d: DISTANCE
SCINTILLATING FIBER (1.0 mm dia.)SUPPLY VOLTAGE: 800 (V)d: DISTANCE
THBV3_0905EA
Figure 9-5: Crosstalk measurement example
Data shown in Figure 9-5 is measured by irradiating a light spot (signal) on the photomultiplier tubefaceplate, through a 1 mm diameter optical fiber placed in close contact with the faceplate. The output ofeach anode is expressed as a relative value, with 100 % being equal to the peak anode output producedfrom the incident light spot. Results show that crosstalk is 0.2 % to 1.4 % when the 1 mm diameterscintillating fiber is positioned in tight contact with the photomultiplier tube faceplate (d=0 mm). How-ever, the crosstalk becomes 0.3 % to 2.6 % worse when the scintillating fiber is moved 0.5 millimetersaway from the faceplate. This is of course due to light spread at the scintillating fiber exit. Bringing theoptical fiber into tight contact with the photomultiplier tube faceplate is therefore recommended in order tomake accurate measurements using scintillating fibers.
Next, let's discuss magnetic characteristics. Matrix type multianode photomultiplier tubes have excel-lent immunity to magnetic fields. This is because all parts except the photocathode are housed in a metalpackage and also because the distance between dynode electrodes is very short. Magnetic characteristicsof a 64-channel multianode photomultiplier tube are explained below.
Figure 9-6 shows how the anode output is adversely affected by external magnetic fields applied alongthe three axes (X, Y, Z). Each data is plotted as a relative output value, with 100 % corresponding to anoutput with no magnetic field applied. Output is still maintained as high as 60 % versus 13 mT of themagnetic field in the X direction.
−10 −5 -0 5 100
10
20
30
40
50
60
70
80
90
100
110
MAGNETIC FIELD (mT)
RE
LAT
IVE
OU
TP
UT
(%
) X axis
X axis
Z axisZ axis
Y axis Y axis
+
+
+−
−
−
Z Y
X
X axisY axisZ axis 48
40
5664
168
2432
4739
5563
157
2331
4638
5462
146
2230
4537
5361
135
2129
4436
5260
124
2028
4335
5159
113
1927
4133
4957
91
1725
4234
5058
102
1826
THBV3_0906EA
Figure 9-6: Effects of external magnetic fields on anode output (anode channel No. 29)
© 2007 HAMAMATSU PHOTONICS K. K.
172 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
Figure 9-7 shows typical uniformity data obtained from each anode when uniform light is illuminatedover the entire photocathode of a 64-channel multianode photomultiplier tube. The non-uniformity ob-served here probably originates from gain variations in the secondary electron multiplier because the pho-tocathode itself has good uniformity. Currently, non-uniformity between each anode is about "1:3" onaverage.
1009080706050403020100
64
48
32
167
5
3
1
PIXEL NUMBER PIXEL NUMBER
RE
LAT
IVE
AN
OD
E O
UT
PU
T
THBV3_0907EA
Figure 9-7: 64-channel multianode output uniformity
Uniformity of one pixel (one anode) is shown in Figure 9-8. This data is measured by input of weak DClight of 50 µm diameter to an anode of 2 square millimeters per pixel, while scanning the light every 0.1millimeters on the photocathode.
043.5
32.5
21.5
10.5
0
0.51
1.52
2.53
3.54
100
20304050607080
90
100
mm mm
RE
LAT
IVE
OU
TP
UT
THBV3_0908EA
Figure 9-8: Anode output uniformity per pixel
© 2007 HAMAMATSU PHOTONICS K. K.
9.1 Multianode Photomultiplier Tubes 173
We next describe basic "crosstalk" and "uniformity" characteristics of linear multianode photomulti-plier tubes.
A typical setup for measuring crosstalk of a 16-channel linear multianode photomultiplier tube is shownin Figure 9-9 and the typical measurement data in Figure 9-10. In this measurement, a light spot emittedthrough the 100 µm aperture in the X-Y stage was scanned along the photocathode. Typical crosstalkobtained from the 16-channel linear multianode was approximately 3 %.
DARK BOX
X-YSTAGE
LAMP POWERSUPPLY
LAMPBOX
HIGH VOLTAGEPOWER SUPPLY
CHANNELCHANGER
AMMETER
PC
X-Y STAGECONTROLLER
GP-IB
THBV3_0909EA
Figure 9-9: Crosstalk measurement method
CH 123456789
10111213141516
11002.90.80.30.1— — — — — — — — — — —
22.91002.80.80.30.1— — — — — — — — — —
30.63.11002.70.80.30.1— — — — — — — — —
40.20.52.81002.90.80.30.1— — — — — — — —
50.10.20.63.21002.70.80.30.1— — — — — — —
6— 0.10.20.63.11002.70.80.30.1— — — — — —
7— — 0.10.20.63.01002.90.80.30.1— — — — —
8— — — 0.10.20.63.01002.90.80.40.1— — — —
9— — — — 0.10.20.62.91003.10.80.40.1— — —
10— — — — — 0.10.20.62.91003.30.90.40.1— —
11— — — — — — 0.10.20.62.71003.20.80.40.1—
12— — — — — — — 0.10.20.63.81003.10.80.40.1
13— — — — — — — — 0.10.20.62.81003.10.90.4
14— — — — — — — — — 0.10.20.62.81003.20.9
15— — — — — — — — — — 0.10.20.62.71003.1
16— — — — — — — — — — — 0.10.30.62.9100
CROSSTALKAREA B / AREA A × 100
CROSS-TALK RATIO (%)
DEAD SPACE
SIGNAL
POSITION (channelsd)
SPATIAL RESOLUTIONAND CROSSTALK SCAN
OU
TP
UT
DE
VIA
TIO
N (
%)
EFFECTIVE SPACE
SCAN POSITION
(TOP VIEW)
SUPPLY VOL.: -800 VLIGHT SOURCE: TUNGSTEN LAMPSPOT DIA.: 100 µmSCAN PITCH: 50 µm
16 CH1 CH
AB
100
80
60
40
20
01 2 3 4 5 6 7
THBV3_0910EA
Figure 9-10: Crosstalk of 16-channel linear anode
© 2007 HAMAMATSU PHOTONICS K. K.
174 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
Some 16-channel and 32-channel linear multianode photomultiplier tubes are low crosstalk types. Someuse a special faceplate containing black glass partitions or an electrode structure having shielding wallsbetween the anodes of each channel. Typical crosstalk values measured with a low crosstalk type areshown in Figure 9-11.
0.0
1.0
2.0
3.0
4.0
5.0
1 ch
2 ch
3 ch
4 ch
5 ch
6 ch
7 ch
8 ch
9 ch
10 ch
11 c
h12
ch
13 c
h
14 c
h
15 c
h
16 c
h
LOW CROSSTALK TYPE
CONVENTIONAL TYPE
THBV3_0911EA
Figure 9-11: Crosstalk values of 16-channel low-crosstalk type
Figure 9-12 shows typical uniformity data of a linear multianode photomultiplier tube. This data wasobtained from each anode when uniform light was illuminated over the entire photocathode of a 32-chan-nel linear multianode photomultiplier tube. As with the matrix type, non-uniformity mainly originatesfrom gain variations in the secondary electron multiplier. Currently, non-uniformity between each anode isabout "1:1.7" on average.
CHANNEL
OU
TP
UT
DE
VIA
TIO
N (
%)
60
40
80
100
20
01 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
THBV3_0912EA
Figure 9-12: 32-channel linear multianode output uniformity
© 2007 HAMAMATSU PHOTONICS K. K.
9.1 Multianode Photomultiplier Tubes 175
Since 16-channel and 32-channel linear multianode photomultiplier tubes have a one-dimensional arrayof anodes, they are mainly used as detectors for multichannel spectrophotometry. Due to its shape, the 32-channel type is often used in combination with a grating or prism, and recent applications include laserscanning microscopes.
Linear multianode photomultiplier tubes are also available with a band-pass filter attached to the face-plate. This allows detecting light only in the wavelength range of interest, just like using a grating or prism.There is no loss of light caused by the entrance slit which is used with the grating for separating the lightinto different wavelengths. Since light must uniformly strike the entire surface of the band-pass filter,Hamamatsu also provides a dedicated mixing fiber combined with a lens for this purpose. Figure 9-13shows a photomultiplier tube with a band-pass filter and a dedicated mixing fiber combined with a lens.
Figure 9-13: Photomultiplier tube with band-pass filter Mixing fiber + lens
Dichroic mirrors can also be used for dispersing light into a spectrum. One example is illustrated inFigure 9-14 showing a very compact device containing an optical system and a detector.
BPF
LIGHT
BPF BPF BPF
DICHROIC MIRROR MIRROR
PHOTO-CATHODE
ANODE
LINEAR MULTIANODEPMT
A ch B ch C ch D ch
THBV3_0914EA
Figure 9-14: Multianode photomultiplier tube assembled with dichroic mirrors
© 2007 HAMAMATSU PHOTONICS K. K.
176 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
9.1.2 Multianode MCP-PMT
The multianode MCP-PMT is explained in detail in section 10.4 of Chapter 10.
9.1.3 Flat panel type multianode photomultiplier tubes
(1) Characteristics
Metal channel dynodes are mainly used in 1-inch square metal package photomultiplier tubes and flatpanel type (2 square inches) photomultiplier tubes, which can be selected according to the particular appli-cation.
This section introduces a flat panel type photomultiplier tube with an overall height as short as 15millimeters. As shown in Figure 9-15, this photomultiplier tube features a large effective area and minimaldead area (insensitive area).
3/4-inch circular type 1-inch square type(with flange)
1-inch square type(with no flange)
Flat panel type
59 % 73 % 89 %87 %
49 mm
52.0 mm
25.7 mm
Effective Area 24 mm
25.7 mm
Effective Area 22 mm
32.2 mm
32.2
mm
Effective Area 15 mm
THBV3_0915EA
Figure 9-15: Comparison of effective area ratio
Typical spatial resolution obtained with a flat panel type 64-channel photomultiplier tube is shown inFigure 9-16. This spatial resolution data (output distribution of each anode) was measured by scanning thephotocathode surface with a 1-millimeter collimated light beam emitted from a tungsten lamp through ablue filter.
© 2007 HAMAMATSU PHOTONICS K. K.
9.1 Multianode Photomultiplier Tubes 177
0 5 10 15 200
20
40
60
80
100
Position (mm)
Cross Uniformity of X-Axis
Rel
ativ
e A
node
out
put (
%)
25 30 35 40 0 5 10 15 200
20
40
60
80
100
Position (mm)
Cross Uniformity of Y-Axis
Rel
ativ
e A
node
out
put (
%)
25 30 35 40
X-axis
Y-axis
Supply Voltage: 1000 VSpot Diameter: 1.0 mmScanning Pitch: 0.1 mm
THBV3_0916EA
Figure 9-16: Spatial resolution of center anodes
Figure 9-17 shows typical crosstalk characteristics measured by irradiating the center of an anode (an-ode pitch 6 mm) with a light beam of 5 square millimeters. Relative outputs of adjacent anodes are shownin the figure by setting the output of this anode as 100 %,. As can be seen in the figure, this flat panel type64-channel multianode photomultiplier tube has a crosstalk of 2 to 3 % at the center anodes.
—
1.8
100
2.6
—
—
0.2
2.7
0.3
—
—
—
—
—
—
—
0.2
1.5
0.2
—
—
—
—
—
—
Supply Voltage: 1000 VLight Source: Tungsten LampSpot Size: 5 square millimeters
THBV3_0917EA
Figure 9-17: Crosstalk characteristics of center anodes
© 2007 HAMAMATSU PHOTONICS K. K.
178 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
To take full advantage of the effective area, the photoelectrons emitted from the edges of the photocath-ode are focused toward the dynodes. This tends to increase anode crosstalk (3 % to 6 %) particularly in thecorner areas. (See Figure 9-18.)
100
3.5
—
5.5
0.5
—
—
—
—
Supply Voltage: 1000 VLight Source: Tungsten LampSpot Size: 5 square millimeters
THBV3_0918EA
Figure 9-18: Crosstalk characteristics of anodes in corner area
9.2 Center-of-Gravity Position Sensitive Photomultiplier Tubes
9.2.1 Metal channel dynode type multianode photomultiplier tubes
(cross-plate anodes)
(1) Structure
Figure 9-19 shows the electrode structure of a metal channel dynode type multianode photomultipliertube using a cross-plate anode.
In this photomultiplier tube, photoelectrons emitted from the photocathode are multiplied by each dyn-ode and the multiplied secondary electrons are then reflected back from the last dynode and read out fromthe plate type anodes (cross-plate anodes) arranged in two layers intersecting with each other.
LAST DYNODE
X ANODE
Y ANODE
PHOTOCATHODE
METAL CHANNELDYNODES
CROSS-PLATE ANODE TYPE
FOCUSING MESH
THBV3_0919EA
Figure 9-19: Electrode structure
© 2007 HAMAMATSU PHOTONICS K. K.
9.2 Center-of-Gravity Position Sensitive Photomultiplier Tubes 179
Figure 9-20 illustrates the center-of-gravity detection method for reading out the output signal from aposition-sensitive photomultiplier tube using a cross-plate anode. The electron bunch released from thelast dynode is collected by anodes linearly arranged in the X and Y directions. Since each anode in thesame direction is connected by a resistor string, the collected electrons are divided into four signal compo-nents X1, X2, Y1 and Y2 corresponding to the anode position at which the secondary electrons arrive. Byinputting these signals to summing (SUM) and divider (DIV) circuits, the center of gravity in the X and Ydirections can be obtained from Eq. 9-1.
X = X2
(X1+X2)
Y2
(Y1+Y2)Y =
................................................................................ (Eq. 9-1)
Y2
Y1
X= X2X1+X2
X1 X2SUM
DIV
RESISTORS
RESISTORS
THBV3_0920EA
Figure 9-20: Center-of-gravity measurement method
(2) Characteristics
This section describes spatial resolution characteristics obtained by center-of-gravity detection using6(X) + 6(Y) cross-plate anodes respectively arranged in the XY directions. This spatial resolution data(output distribution of each anode) was measured by scanning the photocathode surface with a 1-millime-ter collimated light beam emitted from a tungsten lamp. Results are shown in Figures 9-21 and 9-22.
© 2007 HAMAMATSU PHOTONICS K. K.
180 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
SUPPLY VOLTAGELIGHT SOURCESPOT DIAMETER
: -800 V: TUNGSTEN LAMP: 1 mm
0 10
POSITION (mm)
RE
LAT
IVE
OU
TP
UT
(%
)
0
20
40
60
80
100
20 30
PX1 PX2 PX3 PX4 PX5 PX6
THBV3_0921EA
Figure 9-21: Spatial resolution of X anodes
SUPPLY VOLTAGELIGHT SOURCESPOT DIAMETER
: -800 V: TUNGSTEN LAMP: 1 mm
0 100
20
40
60
80
100
20 30
PY1 PY2 PY3 PY4 PY5 PY6
POSITION (mm)
RE
LAT
IVE
OU
TP
UT
(%
)
THBV3_0922EA
Figure 9-22: Spatial resolution of Y anodes
© 2007 HAMAMATSU PHOTONICS K. K.
9.2 Center-of-Gravity Position Sensitive Photomultiplier Tubes 181
Figure 9-23 introduces a circuit diagram for scintillation imaging of 511 keV gamma-rays. It utilizes aposition sensitive photomultiplier tube with 6(X) + 6(Y) cross-plate anodes and a mosaic array of scintillators(BGO of 2.2 mm×2.2 mm×15 mm arranged in a pattern of 9×9=81 pieces). An actual image obtained isshown in Figure 9-24.
INTEGRATION
INTEGRATION
INTEGRATION
INTEGRATION
A/DX1
A/D
X ADDRESS
X1X1 + X2
X29 × 9 BGO ARRAY
PX1
PX2
PX3
PX4
PX5
PX6
A/DY1
EVENT DETECTIONENERGY DISCRI.
A/D
Y ADDRESS
EVENT SIGNAL
Y1Y1 + Y2
Y2
Sum
PY1
PY2
PY3
PY4
PY5
PY6
THBV3_0923EA
Figure 9-23: Scintillation imaging circuit using gamma-rays irradiated
on mosaic pattern scintillators (BGO)
Figure 9-24: Scintillation image obtained by gamma-rays irradiated
on mosaic pattern scintillators (BGO)
This scintillation imaging shows the mosaic pattern of 81 (9×9) BGO scintillators (2.2 mm×2.2 mm×15mm). Off-center distortion in the image can be corrected by a lookup table.
© 2007 HAMAMATSU PHOTONICS K. K.
182 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
9.2.2 Grid type dynode photomultiplier tubes (Cross-wire anodes)
(1) Structure
Figure 9-25 shows the electrode structure for grid type dynodes and the associated electron trajectories.The significant difference compared to ordinary box-and-grid dynodes is that the electron multiplier isfabricated from flat grid-like dynodes. These dynodes have a very fine structure that emits secondaryelectrons while suppressing the spatial spread of secondary electrons at each dynode.
In this photomultiplier tube, photoelectrons emitted from the photocathode are multiplied by each dyn-ode (up to a total gain of 105 or more) and then the multiplied secondary electrons are reflected back fromthe last dynode (reflection type) and read out from the wire type anodes (cross-wire anodes) arranged intwo layers intersecting with each other. The first dynode is placed in close proximity to the photocathodeto minimize the spatial spread of photoelectrons.
FOCUSING MESH
X ANODE
Y ANODE
LAST DYNODE
GRID TYPEDYNODES
PHOTO-CATHODE
X0
PHOTON
Y
THBV3_0925EA
Figure 9-25: Electrode structure and electron trajectories
(2) Characteristics
A photomultiplier tube using a 12-stage grid type dynode yields a gain of 105 or more at 1250 volts. Thistype of photomultiplier tube is available in a circular envelope of 3 or 5 inches in diameter.
The number of wire anodes in the X and Y directions is 16(X) + 16(Y) for the 3-inch circular type(anode pitch: 3.75 millimeters) and 28(X) + 28(Y) for the 5-inch circular type (anode pitch: 4 millimeters).
Next, let's discuss the center-of-gravity detection method and spatial resolution characteristics. As shownin Figure 9-25, the electron flow spreads spatially between the photocathode and the first dynode and alsobetween each grid dynode. When 50 µm diameter light spot scans the photocathode surface of the 3-inchcircular type photomultiplier tube, the X and Y direction spatial resolutions are obtained as shown inFigures 9-27 and 9-28. Since the electron flow spreads in the multiplication process from the photocathodeto the anode, the width of spatial resolution measured at each anode broadens to 9.5 millimeters in the Xdirection and to 8.6 millimeters in the Y direction.
Figure 9-26: Grid type dynode photomultiplier tube
© 2007 HAMAMATSU PHOTONICS K. K.
9.2 Center-of-Gravity Position Sensitive Photomultiplier Tubes 183
FWHM=9.5 (mm)
0 15 30 45 60
POSITION (mm)
RE
LAT
IVE
OU
TP
UT
(%
)
0
20
40
60
80
100
75
X9
X10
THBV3_0927EA
Figure 9-27: Spatial resolution in X direction
FWHM=8.6 (mm)
0 15 30 45 600
20
40
60
80
100
75
Y8
Y9
POSITION (mm)
RE
LAT
IVE
OU
TP
UT
(%
)
THBV3_0928EA
Figure 9-28: Spatial resolution in Y direction
© 2007 HAMAMATSU PHOTONICS K. K.
184 CHAPTER 9 POSITION-SENSITIVE PHOTOMULTIPLIER TUBES
To read out the signal from this photomultiplier tube, the center-of-gravity detection method is used, asdescribed in the previous section 9.2.1, "Metal channel dynode type multianode photomultiplier tubes(cross-plate anodes)".
Figure 9-29 shows plots of spatial resolution measured with light emitted from a pulsed LED whilechanging the amount of light per pulse. This spatial resolution is determined by the center-of-gravitydistribution in the output signal that broadens almost in inverse proportion to the square root of the amountof incident light according to the statistical theory. Figure 9-30 shows the center-of-gravity distributioncharacteristics measured while moving a light spot on the photocathode in 1 millimeter intervals. It provesthat a resolution of 0.3 millimeters (FWHM) is obtained in the center at a light intensity of 4000 photonsper pulse. A slight distortion occurs near the off-center region because there are fewer cross-wire anodesinvolved in the output signal. Figure 9-31 is a spatial linearity graph showing the electrical center-of-gravity position on the vertical axis and the light spot position on the horizontal axis.
100 1000 10000 100000
1.0
0.5
0.8
0.4
0.2
0.1
NUMBER OF INCIDENT PHOTONS (Photons per event)
SP
AT
IAL
RE
SO
LUT
ION
(F
WH
M)
(mm)
at 560nm
THBV3_0929EA
Figure 9-29: Spatial resolution vs. incident light level
1 mm
0.3 mm FWHM
ANODE PITCH : 4 mmLIGHT LEVEL : 4000 photons/event
CHANNEL NUMBER
CO
UN
T P
ER
CH
AN
NE
L
THBV3_0930EA
Figure 9-30: Center-of-gravity distribution with light spot movement
© 2007 HAMAMATSU PHOTONICS K. K.
9.2 Center-of-Gravity Position Sensitive Photomultiplier Tubes 185
100
80
60
40
20
010 20 30 40 50 60 70 80 90 100 110 120
RE
LAT
IVE
PO
SIT
ION
SIG
NA
L
X AXIS (mm)THBV3_0931EA
Figure 9-31: Spatial linearity of grid type dynode photomultiplier tube
In the peripheral portion of the photomultiplier tube, not all electrons are focused by the cross-wireanodes, and these electrodes cause distortion as if they are drawn toward the center. But this distortionlevel is small enough to be corrected by a lookup table or similar techniques.
© 2007 HAMAMATSU PHOTONICS K. K.
MEMO
© 2007 HAMAMATSU PHOTONICS K. K.