position sensing in a gem from charge dispersion on a resistive anode
DESCRIPTION
Position sensing in a GEM from charge dispersion on a resistive anode. Bob Carnegie, Madhu Dixit , Steve Kennedy, Jean-Pierre Martin, Hans Mes, Ernie Neuheimer, Alasdair Rankin, & Kirsten Sachs Carleton University, University of Montreal & TRIUMF. - PowerPoint PPT PresentationTRANSCRIPT
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Position sensing in a GEM from charge dispersion on a resistive
anode
Bob Carnegie, Madhu Dixit, Steve Kennedy, Jean-Pierre Martin, Hans Mes, Ernie Neuheimer, Alasdair Rankin, &
Kirsten SachsCarleton University, University of Montreal & TRIUMF
Arlington Linear Collider Workshop - January, 2003
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•Arlington 9/1/03 •M. Dixit •2
New MPGD Readout Concepts - R&D at Carleton
• A wire/pad readout for the TPC can get ~ 140 µm resolution with wide pads (6 mm pads - Aleph TPC)
• MPGD resolution ~ 40 µm with 200-400 µm wide pads with conventional electronics - prohibitive channel count, increased cost & complexity
• New ideas to get ~ 70 µm resolution with wide pads for all TPC drift distances:– Use GEM induction signal?– Disperse the avalanche charge in an MPGD with a
resistive anode for better position sensing– GEM resistive cell results using collimated x-rays
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•Arlington 9/1/03 •M. Dixit •3
Conventional TPCs never achieve their potential! Example:Systematic effects in Aleph TPC at LEP
ExB cancels track angle effect100 µm
•Average Aleph resolution ~ 150 µm•About 100 µm best for all drift distances• Limit from diffusion (10 cm drift) ~ 15 µm; (2 m drift) ~ 60 µm•100 µm limit for all drift distances comes from wide pad response
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•Arlington 9/1/03 •M. Dixit •4
An MPGD Readout TPC for the LC
• Large systematic effects cannot be avoided in a conventional wire readout TPC
• Even when systematics cancel, resolution worse than diffusion
• A micro-pattern gas detector ( MPGD* ) readout TPC has- Negligible systematic effects - Feasibility of resolution approaching diffusion limit - Natural suppression of positive ion space charge
effects
Such as Gas Electron Multiplier (GEM), Micromegas
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•Arlington 9/1/03 •M. Dixit •5
Use signals induced by electron motion in the GEM induction field?
•Main charge collecting pad sees a large charge signal •Neighbors see a fleeting short duration (~ 200 ns) pulse of different shape•Spatial resolution x y 70 µm attainable •But needs fast large dynamic range FADCs- complex analysis
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•Arlington 9/1/03 •M. Dixit •6
Charge dispersion in a GEM with a resistive anode
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•Arlington 9/1/03 •M. Dixit •7
Equivalent circuit for currents in a GEM with an intermediate resistive
anode
Resistive anode foil
Signal pickup pads
Current generators
Pad amplifier
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•Arlington 9/1/03 •M. Dixit •8
How to calculate pad signals in a GEM with a resistive anode film close above readout pads?
•Lumped parameter approximation - The resistive anode layer close above readout pads forms a 2-D network of resistors and capacitors
•Finite element calculation with Spice as for Iorache tubes with external readout pads - the hard way!
• Solve the diffusion equation in 2-D (Radeka) - much simpler!
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•Arlington 9/1/03 •M. Dixit •9
Position sensing in a GEM from charge dispersion on a resistive anode
AnalogyAnalogy::AnalogyAnalogy::
position sensing in 1-D in a proportional wire by charge division
Solution for charge density (L ~ 0)
Telegraph equation (1-D):
for simulation include finite charge cloud size + rise and fall time effects
2
2
2
2 1xQ
RCtQ
tQ
RL
∂∂
=∂∂
+∂∂
€
Q(x, t) =RC
4π t
−x 2RC
4 te
€
∂Q∂t
=1
RC
∂2Q
∂r2 +1
r
∂Q
∂r
⎡
⎣ ⎢
⎤
⎦ ⎥
€
Q(r, t) =RC
2t
−r 2RC
4 te
Deposit point charge at t=0
Telegraph equation in 2-D
Position sensing in 2-D in an MPGD with a resistive anode
Solution for charge density in 2-D
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•Arlington 9/1/03 •M. Dixit •10
Time evolution of an initially localized charge in a GEM with a resistive anode
The time dependent charge density distribution on the resistive sheet is capacitively sampled by readout pads below
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•Arlington 9/1/03 •M. Dixit •11
Charge cluster size ~ 1 mm ; signal detected by ~7 anodes (2 mm width)
An event in the resistive anode GEM test cell
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•Arlington 9/1/03 •M. Dixit •12
•Width & shape of signal distributions on pads can be simulated
•The pad response function PRF depends on anode resistivity & the gap between anode and readout pad plane
•This PRF is too wide
•Require PRF ~ diffusion for optimum resolution
Pad response function Simulation versus
Measurement
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•Arlington 9/1/03 •M. Dixit •13
Design simulation for PRF ~ 700 µm
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•Arlington 9/1/03 •M. Dixit •14
2.5 MΩ/ resistivity 100 µm gap1.5 mm strips are too wide for PRF ~ 700 µm!
single event
average
central strip: main pulse
adjacent strips withinduced pulse
+ charge dispersion
Resolution tests with PRF ~ 700 µm design
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•Arlington 9/1/03 •M. Dixit •15
GEM charge dispersion resolution study
•50 µm collimated x-ray spot
•Scan across 1.5 mm wide strips
•Record 1000 events with Tektronix digitizing scope
•Single event produces measurable signal on 3 strips
•Early charge pulse, delayed charge dispersion pulse
•Use 500 events to define pulse shape polynomials
•Measure signal amplitudes for remaining 500 events
•Compute 3 pad centre of gravity for each event
•Correct for bias in CG determination
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•Arlington 9/1/03 •M. Dixit •16
Polynomial fits define pulse shapes
Use 500 events to define standardized pulse shapes for early charge pulse (left), and delayed charge dispersion pulse (right)
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•Arlington 9/1/03 •M. Dixit •17
Bias correction to measured centre of gravity
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•Arlington 9/1/03 •M. Dixit •18
Resolution near a strip edge
= 78 µm
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•Arlington 9/1/03 •M. Dixit •19
Resolution near the centre of a strip
= 61 µm
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•Arlington 9/1/03 •M. Dixit •20
Resolution between edge & centre
= 67 µm
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•Arlington 9/1/03 •M. Dixit •21
Resolution scan - summary
Spatial resolution
Position residuals
X-ray spot position (mm)
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•Arlington 9/1/03 •M. Dixit •22
Outlook & summary• Promising preliminary results for position
sensing from charge dispersion in a GEM test cell with resistive anode
• Resistive anode concept applicable to other MPGDs; e.g. Micromegas
• Further tests in progress to optimize parameters and establish viability
• Proof of principle cosmic rays tests with mini-TPC