The Laser System for the STAR Time Projection Chamber.

J.Abele^a^, J.Berkovitz^a^, J Boehm^a^, A. Brandin^b^, E. Gushin^b^, G.
Harper^d^, A.Lebedev^c^, W. A. Love^c^, A. Ridiger^b^, M. Strikhanov^b^,
J Weidenbach^a^, R. Wells^a^, J. Wolf^a^, J. Wirth^a^, and H. H.
Wieman^a^

^a^Lawrence Berkeley National Laboratory, Berkeley, CA, 97420, USA

^b^Moscow Engineering Physics Institute, Moscow, 115409, Russia

^c^Brookhaven National Laboratory, Upton, NY, 11973, USA

^d^University of Washington, Seattle, WA, 98195, USA

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**Abstract**

The Time Projection Chamber (TPC) is the core tracking detector for the
STAR experiment at RHIC. To determine spatial distortions, calibrate and
monitor the TPC, a laser calibration system has been built. We developed
a novel design to produce \~500 thin laser beams simulating straight
particle tracks in the TPC volume. The new approach is significantly
simpler than the traditional ones, and provides a higher TPC coverage at
a reduced cost. During RHIC 2000 and 2001 runs the laser system was used
to monitor the TPC performance and measure drift velocity with \~0.02 %
accuracy. Additional runs were recorded with and without magnetic field
to check **ExB** corrections.

Key words: Detectors, Laser, Time Projection Chamber, Calibration, Heavy
Ions

PACS: 29.40.- n, 29.40.Gx

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**1. Introduction**

Gas detectors in many modern experiments are large and complex.
Assembling, testing, calibrating and monitoring during accelerator runs
becomes a difficult task. The introduction of narrow ultraviolet (UV)
laser beams to imitate straight charged particle tracks simplifies
operating procedures \[1\]. If the laser beam position and time of
appearance is known with high accuracy, repeated measurements provide
very accurate calibration. Laser tracks have no multiple scattering and
are not sensitive to magnetic fields. A comprehensive review of detector
calibration by laser beams is presented in \[2\]. Experiments with
gaseous detectors being proposed for new accelerators with much higher
particle multiplicity foresee problems with two-particle resolution and
distortion due to charge accumulation in the sensitive volume \[3\].
This becomes especially important at accelerators with high energy heavy
ion beams, where particle multiplicity could reach dN/dy \~2000-5000. To
monitor these distortions, more calibration tracks are required. In this
article we briefly describe the laser system for the Time Projection
Chamber in the STAR experiment at the heavy ion collider, RHIC \[4\].

**2. Laser system requirements**

The main tracking detector in the STAR experiment is a Time Projection
Chamber (TPC) \[5\]. The task of the TPC is to provide track
reconstruction, momentum measurement and particle identification. The
STAR TPC is a cylinder 4 m in diameter and 4.2 m long, with a .5 T axial
magnetic field. The TPC volume is bounded by coaxial inner and outer
field cages (IFC, OFC) connected to end cap wheels with multiwire
proportional chambers (MWPC) on the end wheels. The working gas for the
MWPC is 90% argon and 10% methane (P-10). A high voltage membrane at the
TPC center with resistor chains on the field cages creates a uniform
electric field along the Z axis (parallel to the magnetic field) in
which electrons produced by charged particles drift to the end cap
MWPCs. Measured drift time and the drift velocity provides the
coordinate along Z, while induced signals on the pad rows provides
spatial coordinates in the MWPC plane.

Physics goals for the STAR experiment impose 10 % momentum resolution
for a particle with a transverse momentum of 10 GeV/c. This requires an
accuracy \~200 μm in the sagitta measurement of the curved particle
trajectory. The errors in the Z coordinate must be well under 1 mm.
There are several sources of uncertainty in track coordinate
measurements:

1.  Variation in drift velocity caused by gas mixture, temperature,
    pressure and electric field variation.

2.  TPC misalignment in the magnet and existence of the global **E** x
    **B** effect.

3.  Radial inhomogenities of magnetic and electric field.

4.  Space charge buildup due to high multiplicity in Au-Au collisions.

5.  TPC endcap wheel displacement and inclination.

At maximum RHIC energy, Au-Au collisions create \~2000 charged particles
in the TPC volume which could produce charge accumulation and track
distortions \[6\], especially near the IFC region at \~0.6 m radius.
These distortions varied significantly along the Z axis in the
TPC\[3,6\]. To see all spatial variations throughout the TPC volume it
is desirable to increase the number of laser beams up to 100-400 for one
half TPC. Considering these issues we specified for the STAR laser
system:

1.  Number of laser tracks \~100-400 in each half of the TPC.

2.  Laser beams should fill the TPC volume uniformly.

3.  Electron density along the laser beam in any point must be higher
    than ionization from relativistic particles.

4.  The accuracy of the position and stability during operation of each
    laser beam at any point must be smaller than \~200 μm in azimuthal
    and radial directions and smaller than \~700 μm in axial direction.

5.  Synchronization of the time of the laser beams appearance in the TPC
    volume to the RHIC clock within \~5 ns error to provide \~0.01 %
    accuracy in drift velocity measurements.

6.  Laser system must provide alignment, steering and stable position of
    laser beams with the accuracy specified above.

**3. Laser system description**

As shown in many investigations \[2,7\], UV-laser beams produce
ionization in gaseous detectors via a two-photon ionization process of
organic substances, which are commonly present in the detector volume at
\~ppb level. A Nd-YAG frequency-quadrupled laser (λ=266nm) with energy
density about 1-20 μJ/mm^2^ can produce ionization equivalent to a
relativistic particle (mip) in common gases without special additives.

There are two optics designs widely used to produce multiple narrow
laser beams. In the first design a powerful laser beam is focused by a
demagnification telescope to \~1 mm diameter beam with the smallest
waist positioned in the detector center. This beam is split by
semitransparent mirrors, installed on an inner surface of the detector
(ALEPH TPC \[8\]), or on a separate optical bench near the detector (EOS
TPC \[9\]). There are several difficulties in this design. The number of
narrow beams is limited by mirror coating resistance to laser radiation.
The safe energy level for dielectric coating and UV radiation is \~0.1
J/cm^2^ \[10\], so only \~100 laser beams could be formed by one laser.
It is also difficult to produce approximately equal beam intensity by
splitting a single laser beam through multiple mirror stacks. In a
second design a low power laser beam is focused by the previous method.
This beam is then directed by steering mirrors into the TPC volume in
different directions. The difficulty with power density is replaced by
stringent requirements on stability and repeatability of mechanical
drivers for the steering mirrors. For a detector with the size \~5 m and
laser beam stability on the level of \~100 μm, the angular movement of
the mirror must be controlled to \< 10^-5^ rad. This approach also
significantly increases the time required to provide full chamber
calibration. This kind of laser system was used in the OPAL jet chamber
\[11\], the NA49 TPC and the CERES TPC\[12\].

We proposed a novel design to produce a large number of narrow laser
beams by splitting a wide laser beam with a diameter \~20-30 mm by many
small diameter mirrors, installed in a region of approximately equal
intensity. Small mirrors are made from glass rods, cut at 45 degrees,
polished and covered by dielectric coating with 100 % reflectivity
(fig.1). More effective use of the wide laser beam is accomplished by
gathering the small mirrors in bundles; in our design there are 7 small
mirrors in each bundle. Each mirror in a bundle is rotated to create
different directions for the calibration beams in the TPC volume.

The creation of a thin beam by each small mirror is the same as the
diffraction of the plane wave through a small circular aperture \[13\].
The spread and size of the diffraction pattern is defined by the Fresnel
number N=a^2^/λz, where a is the aperture radius, λ the wavelength of
the laser light and z is the distance from the aperture to the viewer.
For N\<1 the so-called Airy-disc diffraction pattern is created. For 0.5
mm radius and λ=266 nm, N\<1 if z\>1 m. The divergence of the Airy disc,
θ=1.22λ/2a, is comparable with divergence of the beam from focusing
telescopes, θ=λ/πa (\~.17mrad for a=.5mm). In the near field region,
when the Fresnel number N=d^2^/4λz\>1 (z\<1m) the laser beam is confined
in a \~1 mm diameter cylinder.

The production of thin laser beams by single small mirrors installed in
wide laser beam was used in the laser calibration system for the 1.5 m
streamer chamber of the magnetic spectrometer SCAP (IHEP) \[14\].

The advantage of the design is that the initial point in space of each
thin laser beam is completely defined by the position of the small
mirror and only deflection of the wide beam could change the direction
of the thin beam. One half of the laser system is presented
schematically in fig 2. The Nd:YAG laser GCR-130-10 \[15\] operates in
Q-switched mode to obtain high power laser pulses of \~3-4 ns duration.
A Glan-laser polarizer and rotating half-wave plate are used to change
the laser power over a wide range to produce calibration beams with
different ionization. The laser beam is expanded by a telescope to \~30
mm diameter and directed to the TPC endcap wheel through a hole in the
magnet steel. On the TPC outer radius a system of dielectric splitters
and prisms are installed to rotate and split the wide beam into 6 beams
with equal intensity. These beams are directed to positions 60 degrees
apart along the inner surface of the OFC parallel to the Z-axis of the
TPC. There are 6 rafts installed parallel to the laser beams. Square
glass tubes \~1500 mm length were used for the raft as a rigid and
stable support for mirror bundles. Three-ball supports are glued to each
raft to decrease the influence of OFC distortions. Six bundles are
installed on each raft \~300 mm apart and uniformly occupy the wide
beam. These bundles produce seven different directions of thin laser
beams, covering approximately uniformly the whole TPC volume. This
design provides (6x6x7 = 252) laser calibration beams for each half of
the TPC. In addition, the residual beam which survives after passing
through the raft is directed through a slot in the central membrane
towards diffuse reflectors, installed on the opposite TPC wheel.
Reflected from these diffusers, UV light illuminates the central
membrane, which is made from carbonized kapton with a pattern of 3 mm
wide Aluminum stripes glued on. Electron clouds emitted from the stripes
by a one-photon ionization process provide signals similar to the laser
beams in the TPC volume. The membrane pattern covers all the TPC sectors
at the maximum drift distance and was used to align TPC sectors.

**4. Laser subsystems.**

4.1. Bundle production.

The main element in this system is the bundle of small mirrors. We
produced small mirrors with different diameters (fig.3) to determine
beam formation, technology and assembly procedures. A mirror smaller
than 1 mm diameter creates significant divergence, and difficulties with
production and alignment. Bigger diameter required wider beams,
increased laser power and optics sizes. We therefore chose 1 mm as the
basic diameter for mirrors to produce thin beams with good quality up to
4 m. A support was designed to install and adjust the position and angle
of each 1 mm mirror in a bundle. The mirrors were then glued together in
a metal collar. Two sets of mirror angles were used to provide more
uniform TPC coverage. The relative mirror position in each bundle was
measured with an accuracy \~30 μm. A special installation was developed
to measure all angles between mirror faces. A vertically aligned wide
laser beam shines on the bundle, installed on the top of a theodolite.
Reflected thin laser beams are directed to a quadrant detector,
installed on a vertical stage. The position of the beam was determined
with \~100 μm accuracy at 4 m distance from the theodolite, and an
accuracy of \~0.025 mrad for the horizontal angle was achieved, while
the vertical angle was measured by the stage with an accuracy \~0.12
mrad. After these measurements, the bundles were assembled on the raft,
the position of each bundle was measured with \~100 μm accuracy and 12
rafts with bundles were aligned inside the TPC volume. Finally the
position of each mirror in the TPC coordinate system was measured with
\~200 μm accuracy.

2.  Laser beam characteristics.

Linear electron density along the laser beam was measured by a drift
chamber filled by P-10 gas with a 2 cm sensitive region along the anode
wire. The laser beam was directed parallel to the anode wire, entering
the drift volume through a quartz window. The linear electron density at
distances up to 4 meters from the 1 mm diameter mirror is shown in fig.
4. A laser power density of \~1-2 μJ/mm^2^ was enough to produce
ionization close to mip. Due to the quadratic dependence of two-photon
ionization on the power density we can estimate the "electron"
divergence of a laser beam in a drift chamber assuming uniform power
density across the laser beam. Assume N~p~ is the number of photons in a
laser beam with diameter d=d~0~+αM, N~e~ is the linear electron density
and M is the distance from the drift chamber to the small mirror. Then
N~e~ = N~p~^2^/S, where S is the beam area, S=πd^2^/4, and for
N~p~-const, N~e~\~1/(do+αM)^2^ . A fit from experimental data yields an
"electron" divergence α=(0.16+/-0.04) mrad, which is close to the
optical divergence, θ=2λ/πd (\~.17 mrad for d=1 mm).

The total number of laser beams is determined by the wide laser beam
area and the number of bundles occupying it. Bundles are installed along
the Z-axis about 30 cm apart. Diffraction from the bundle supports could
distort the uniformity of the wide laser beam, so we investigated the
influence of the transverse distance between bundles on a raft on the
thin laser beam position and electron density. For distances smaller
than 0.5 mm, linear electron density starts to decrease. For reliability
and ease of adjustment a 1 mm radial distance between bundles was
chosen. At this distance no laser beam disturbance was observed.

4.3. Monitoring and beam steering.

Remote laser operation used the global TPC operations slow control
infrastructure. A graphical user interface (GUI), accessible on a PC in
the STAR control room using EPICS \[21\](fig. 5a) provides start-stop
procedures for the selected laser and defines run time. The Poisson line
reference method \[16\] was chosen to perform positioning and steering
of the wide laser beam. After the expanding telescope a 3 mm ball is
installed in the center of the wide laser beam (fig. 2). In the center
of the dark shadow a bright spot appears, and a very thin "Poisson beam"
is created. The divergence of this "Poisson beam" is extremely small,
\~0.05 mrad at 266 nm wavelength. A quadrant detector or CCD camera
could easily monitor this beam. The quadrant detector is workable only
with an additional diaphragm, cutting the bright field of wide beam, and
this circumstance decreases the region of steering operation for wide
beam by \~1mm. A miniature CMOS CCD camera (type MC-MRB-4 \[17\]) with
lens and fluorescence screen \~20 mm diameter was chosen to pick up the
laser beam image. This camera could work in 1.0 T magnetic field. The
screen has a mm scale grid, so viewing and alignment of the laser beam
becomes a convenient procedure. Compact piezoelectric picomotor drivers
were chosen \[18\] to provide mirror adjustment. The driver has a
resolution \<0.1 μm, minimum backlash and insensitivity to magnetic
field. Remote control over the piezodrives and CCD cameras was installed
on a PC computer. Another GUI (fig 5b) was used to provide observation
of the laser beam through the set of four CCD cameras installed on the
TPC and operation of 24 piezodrivers to monitor and align the laser beam
with \~200μm accuracy. This system was used to correct shifts of the
laser beam position due to magnetic forces. From zero to full field the
position of laser beam at the TPC entrance shifted up to 3 mm.

4.4. Laser trigger.

The laser operation frequency is (10+/-0.5) Hz. A TTL pulse triggers the
xenon lamps to pump the YAG crystal and after \~180 μs a second TTL
pulse provides Q-switch opening. After \~30-40 ns an UV pulse is emitted
from the laser. A signal from a photodiode is used as a start signal for
TPC readout. STAR detectors were synchronized with the RHIC clock (\~10
MHz). The laser trigger board accepts an external RHIC clock signal and
provides, simultaneously for both lasers, a trigger for the lamp and
Q-switch synchronized with the RHIC clock with a jitter \~5-6 ns. In
fig. 6 the mean position of the central membrane, measured by electrons
from the Al stripes, for the synchronized laser is presented. We
achieved an accuracy \~200 μm in determining Z- coordinates, which
affects the error in drift velocity measurement.

**5. RHIC runs results.**

The laser calibration system was used extensively during TPC test runs
with cosmic rays starting in 1997. Reconstruction of the laser events
helped to recognize errors in tracking code, wrong cabling and
non-functioning readout electronics. Laser data were used to align the
inner and outer sectors. Also lasers were used to check the clock
frequency by matching the membrane image for both TPC halves.

During the summer of 2000 about 80 laser calibration runs were recorded.
Precise drift velocity measurement is crucial for physics analysis and
to match tracks across TPC halves. For each physics run a laser
calibration run was recorded, containing \~500 events. A typical laser
event with different projection views is presented in fig. 7.
Approximately 450 laser tracks are recorded in a single event. Radial
lines in the TPC center are the image of the Al stripes on the central
membrane. For analysis of this event a time offset of \~500 ns was used
to separate the central membrane images for display.

A drift velocity was determined using the Z position difference of the
mirror positions for the sets of laser tracks closest to and furthest
from the pad plane. Tracks were extrapolated to the mirror's X, Y
position and the ratio of the measured dZ and the survey dZ was used to
scale the input velocity. In fig. 8 the laser-measured drift velocity
monitored over a one month period is shown. There are several parameters
affecting drift velocity: barometric pressure, cathode voltage,
temperature, clock frequency, methane concentration and unknown
additives in TPC gas. We estimate that the most influential parameter is
methane concentration. To check systematic error in our data the ratio
R=W(east)/W (west) was calculated, where W(east) and W(west) are data
for two TPC halves. For all laser runs R= 0.99999134+/- 0.000225.

Additionally to laser data a less accurate "step charge" method was used
in physics analysis to calculate drift velocity. This method used high
multiplicity events and distribution of the ionization from the pad
plane to the membrane to derive a value of drift velocity. During the
RHIC FY2002 run the laser system also was used to measure drift
velocity. A special trigger was implemented to interleave laser events
in a physics run. This procedure saves valuable accelerator time and
provides a tool to monitor distortions from charge accumulation in the
TPC volume. On-line software provided a fast calculation of the drift
velocity. Totally \~400 laser runs were taken, providing a valuable
database for physics analysis. Laser data are especially useful for p-p
data, where the "step charge" method could not be used. In fig. 9 data
for the RHIC-2002 run are shown with variation of gas parameters in TPC.
The dip in the drift velocity near day 300 was caused by a temporary
methane loss in the gas system.

We measured the position stability of laser beams to understand the
limits of accuracy of the system. Fig. 10 shows a histogram of
transverse position for a powerful laser beam with ionization \~10 mip.
The error (sigma) on the level of \~64 μm confirms our expectations
about laser track stability. For a laser with ionization \~1-2 mip,
stability is \~150-200μm.

The momentum resolution of the TPC is defined by accuracy in sagitta
measurement and multiple scattering. For high momentum tracks the
influence of multiple scattering is negligible. For high momentum the
resolution is dp/p=Ap/B \[19\], where p is the particle transverse
momentum, B-the magnetic field and A is the error in sagitta
measurement. There are several factors affecting A: the track length,
the accuracy in point measurement on the particle trajectory and the
number and the position of these points. Laser tracks, which could be
represented as particles with infinite momentum, are an excellent tool
to determine all these errors. Distribution of inverse momentum f=1/p
for radial laser tracks provides systematic effects, a limit in
determining particle momentum and TPC momentum resolution. The width of
the histogram f, df=(dp/p)1/p provides a direct value of A. Data without
B field represents systematic error in global reconstruction. Although
extensive and detailed **ExB** corrections were made with particles from
central Au-Au collisions, it is useful to check these corrections with
laser tracks. Fig. 12 shows corrected and uncorrected f-distributions.
The data shows small systematic errors and the ability to measure
particle momentum with designed accuracy.

An upgrade for the laser system foreseen in the near future is a fully
automated system to monitor and align lasers for the TPC and a
calibration procedure for another tracking detector in STAR - the
Forward TPC (FTPC) \[20\].

**6. Summary.**

The results reported here show the durability of the STAR TPC laser
calibration system. During the RHIC 2000 and 2001 runs the laser system
was used to measure the drift velocity with \~ 0.02% accuracy and
monitor the stability of the TPC electronics. This system was expanded
to calibrate and monitor Forward Time Projection Chambers. Further
improvements in TPC global position accuracy will be implemented with
more laser data.

**7. Acknowledgments.**

This work was supported by US Department of Energy, Ministry of
Education, Ministry of Science, Russian Federation.

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\[19\] W.Blum, L Rolandi, Particle detection with drift chambers,
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\[20\] F. Bieser, V. Eckardt at al. The Forward Time Projection Chamber
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volume).

**Figure captions.**

![](media/image1.jpeg){width="5.996527777777778in"
height="6.820138888888889in"}

Fig. 1. Conceptual design of the laser system

![](media/image2.png){width="5.996527777777778in"
height="7.232638888888889in"}

Fig. 2. Optical scheme for one half TPC.

![](media/image3.png){width="6.0in" height="4.339583333333334in"}

Fig. 3. The formation of thin laser beams by small mirrors.

![](media/image4.png){width="5.999305555555556in"
height="5.592361111111111in"}

Fig. 4. Linear electron density from a laser beam created by a 1 mm
mirror.

![](media/image5.jpeg){width="3.7284722222222224in"
height="5.997222222222222in"}

Fig. 5. Remote computer windows to operate the laser system: a) control
window for laser operation, b) window to align and monitor laser beams.

![](media/image6.jpeg){width="6.003472222222222in"
height="4.660416666666666in"}

Fig. 6. The membrane position stability using a trigger synchronized
with the RHIC clock.

![](media/image7.png)

![](media/image8.jpeg){width="5.750694444444444in"
height="4.1722222222222225in"}

Fig. 7. Laser event in TPC: a)-perspective view, note the radial lines
from membrane in the TPC center, b)- side view.

![](media/image9.png){width="5.995833333333334in"
height="3.671527777777778in"}

Fig. 8. Laser drift velocity measurement over one month during year
2000.

![](media/image10.png){width="6.002777777777778in"
height="4.065972222222222in"}

Fig.9 Laser drift velocity measurement for year 2001. T0Maker refers to
the "step-charge" method mentioned in the text.

![](media/image11.png){width="5.9944444444444445in"
height="4.293055555555555in"}

X, cm

Fig. 10. Pointing stability of laser tracks.

![](media/image12.jpeg){width="3.647222222222222in"
height="7.013194444444444in"}

Fig. 11. Histograms of inverse momentum distribution for radial laser
tracks: B=0, B=.5T(no ExB corrections), B=.5T(corrected for ExB
distortion).