readout of sipms physics principles and insights · sipm simplified electric model n cd n cq eq eq...
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Readout of SiPMs
physics principles and insights
3Dπ Meeting - GSSI 18/06/2018
Alessandro Razeto
Laboratori Nazionali del Gran Sasso
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DETECTING SINGLE PHOTONS
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Photo-multiplier tube
3
30x30 mm
From 1 to 2000 cm2
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PMTs largely used
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13000 PMTs
φ =
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Scientific CCD
5
18 x 16 Mpixels CCD 15 × μ
Readout noise 2 e-
About 106 channels/cm2
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SiPM • The use of SiPM is rapidly increasing both for scientific and for industrial
applications – High gain, high PDE, compact form
– Sensitive to single photons
• SiPM can be read as pixels or as aggregate devices – Pixels can be as small as the microcell (10-50 μm scale)
– SiPM typical size 1-100 mm2
– Several integrated chips can read-out many SiPM in aggregated structures
• For scientific applications a photo-multiplier tube replacement is desirable – Aggregating the SiPM to a total surface of many cm²
• But given the high DCR this is typically interesting only at cryogenic temperature
• This talk will focus on FBK NUV-HD SiPM from FBK
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SiPMs
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A Single Photon Avalanche Diode operates in Geiger mode • The intrinsic capacitance of the SPAD is named Cd
• The intrinsic resistance of the SPAD is named Rd
• The SPAD has a quenching resistance Rq to stop the avalanche
• The quenching exhibits a parasitic capacitance Cq
• At Vbias > Vbreakdown the avalanche is possible
• With gain G = Vov Cd where Vov = Vbias - Vbreakdown
A SiPM is a collection of N SPAD of typical size 20-50 um
• A signal is generated when Nf SPADs are triggered
Accurate electrical models exist to describe the signal and
overall electrical parameters of the SiPMs
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SiPMs
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A Single Photon Avalanche Diode operates in Geiger mode • The intrinsic capacitance of the SPAD is named Cd
• The intrinsic resistance of the SPAD is named Rd
• The SPAD has a quenching resistance Rq to stop the avalanche
• The quenching exhibits a parasitic capacitance Cq
• At Vbias > Vbreakdown the avalanche is possible
• With gain G = Vov Cd where Vov = Vbias - Vbreakdown
A SiPM is a collection of N SPAD of typical size 20-50 um
• A signal is generated when Nf SPADs are triggered
Accurate electrical models exist to describe the signal and
overall electrical parameters of the SiPMs
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SiPMs at cryogenic temperature
• Dark noise reduction by more than 7
orders of magnitude
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• Increased afterpulse
• Lower gain operation
SiPMs at cryogenic temperature
• Dark noise reduction by more than 7
orders of magnitude
NUV-HD-SF
At a given temperature and overvoltage
higher Rq -> longer recharge time
-> lower triggering probability in
the same cell
-> lower afterpulse probability
-> lower divergence probability
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SiPMs at cryogenic temperature
• Dark noise reduction by more than 7
orders of magnitude
• Increased afterpulse
• Lower gain operation
• For poly-silicon based Rq
• Rq strongly depends on T
• Pulse shape changes
• longer recharge time
NUV-HD-SF
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SiPMs at cryogenic temperature
• Dark noise reduction by more than 7
orders of magnitude
• Smaller peak current
• Increased afterpulse
• Lower gain operation NUV-HD-SF
• For poly-silicon based Rq
• Rq strongly depends on T
• Pulse shape changes
• longer recharge time
F. Acerbi et al., IEEE TED 64,2,17 12
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LIGHT SENSOR READOUT
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Light sensor readout
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Light sensors convert photons into charge
• Transformed in a current by an electric field
Photo-sensors are modeled as a current generator with a
source capacitance Cd
• Plus an additional load resistor Rl (intrinsic leakage of the
device and/or quenching resistor)
Typical values for Cd are in the range of 0.1-100 pF
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Light sensor readout
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Light sensors convert photons into charge
• Transformed in a current thank to an electric field
Photo-sensors are modeled as a current generator with a
source capacitance Cd
• Plus an additional load resistor Rl (intrinsic leakage of the
device and/or quenching resistor)
Typical values for Cd are in the range of 0.1-100 pF Simplified electrical model
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Light sensor readout
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Light sensors convert photons into charge
• Transformed in a current by an electric field
Photo-sensors are modeled as a current generator with a
source capacitance Cd
• Plus an additional load resistor Rl (intrinsic leakage of the
device and/or quenching resistor)
Typical values for Cd are in the range of 0.1-100 pF
Several amplifier configurations are available for detecting
small currents
• The most common is the trans-impedance amplifier (TIA)
• An alternative design is provided by the charge amplifiers
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Current amplifiers
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• Both TIA & charge amplifiers are based on an inverting topology
• V- = V+ implies that the amplifiers provides a -|IPH| along the
feedback path
• At high frequency the noise gain is defined by CIN/CF
• CIN directly impact the rise time of the amplifier
For transimpedance amplifiers RF < 10 kΩ
• The output signal is –IPH ∙ RF
• The CF capacitor is required to maintain the circuit stable
• Can be as small al 0.1 pF
For charge amplifiers Rf > 100 MΩ
• The output signal is –QPH / CF
The two circuits seem similar but are very different
Virtual GND
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Charge amplifiers
18 G.Bertuccio, S.Caccia, NIM A579, 2007
G.Bertuccio, Jinst 2015
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LOW NOISE AMPLIFIERS
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Heterojunction electronics For fast TIA amplifiers with Rf ~ 1-10 kΩ
• n(Rf) << en * NG & in * Rf << en * NG
MOS technology typically
• en ~ V/√Hz & in ~ fA/√Hz
MOS technology may not be the best
choice
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Heterojunction electronics
• Most producers are distributing heterojunction BJT based amplifiers – For high bandwidth applications GHz
– For very low noise applications sub- V/√Hz
• HBTs are great signal amplifiers at cryogenic temperature – They are BJT -> very low en
– Low 1/f noise
– Noise and BW are better at cryogenic temperature
For fast TIA amplifiers with Rf ~ 1-10 kΩ
• n(Rf) << en * NG & in * Rf << en * NG
MOS technology typically
• en ~ V/√Hz & in ~ fA/√Hz
MOS technology may not be the best
choice
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LMH6629 characterization LMH6629 from TI:
• Works down to 40 K
• Stable for |Av| > 10
• Very high bandwidth
• Increasing at low T
• ~0.2 pF in Fb path
• Very low noise
• Max bias 5 V
• 60 – 80 mW
• Pout1dB = 16 dBm (3.8 Vpp)
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LMH6629 Noise Model
Where:
• Req accounts for all resistors
• en is modeled as a Johnson source
• in is modeled as Shotky noise of |ib| + |io|
• N is the output noise density @ 1MHz
The fit reproduces the data at better than
2.5 %
The voltage noise density of the LMH6629 is equivalent to a 20 Ω resistor
constant
M D’I e o et al., IEEE TNS , , 8 23
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SINGLE SIPM READOUT
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SiPM simplified electric model • BW & output noise spectrum depends on the input load • A simplified model can be used
– Valid if Nf << N
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SiPM simplified electric model
eq eq eq eq
SiPM seen by a RLC bridge
• BW & output noise spectrum depends on the input load • A simplified model can be used
– Valid if Nf << N
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SiPM simplified electric model
eq eq eq eq
SiPM seen by a RLC bridge
• BW & output noise spectrum depends on the input load • A simplified model can be used
– Valid if Nf << N
• A transition happens at FT = 1/(2 π Rq Cq) ~ 20- 30 MHz
27
To be compared to
photodiodes 0.1 – 100 pF
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SiPM simplified electric model
N Cd
N Cq
eq eq eq eq
SiPM seen by a RLC bridge
• BW & output noise spectrum depends on the input load • A simplified model can be used
– Valid if Nf << N
• A transition happens at FT = 1/(2 π Rq Cq) ~ 20- 30 MHz
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SiPM simplified electric model
N Cd
N Cq
eq eq eq eq
SiPM seen by a RLC bridge
• BW & output noise spectrum depends on the input load • A simplified model can be used
– Valid if Nf << N
• A transition happens at FT = 1/(2 π Rq Cq) ~ 20- 30 MHz
– But at cryogenic temperature Rq increases
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SiPM simplified electric model • BW & output noise spectrum depends on the input load
N Cd
N Cq
eq eq eq eq
SiPM seen by a RLC bridge
Nois
e
• This transition is important because it affects the noise gain:
– The capacitance decreases GOOD
– The series resistance (Rq/N) vanishes BAD
• A simplified model can be used
– Valid if Nf << N
• A transition happens at FT = 1/(2 π Rq Cq) ~ 20- 30 MHz
– But at cryogenic temperature Rq increases
Model
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Req
Ceq
TIA design & results on single SiPMs
Standard Transimpedance design except:
• Few tweaks for stabilization
• R+ , R-, Ci
• Cf is due to parasitic effects (~0.2 pF)
• The series resistor Rs
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5x5 mm @ 300K
SNR = 27.7 @ 5 VoV
(1.3 106)
Req
Ceq
TIA design & results on single SiPMs
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5x5 mm @ 300K
SNR = 27.7 @ 5 VoV
(1.3 106)
1x1 cm² @ 77K
G = 106
SNR = 18
1PE resolution: 0.06
1x1 cm² & G = 106
1x1 cm²
Req
Ceq
TIA design & results on single SiPMs
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Matched filtering
Matched filter is the optimal linear filter to extract a signal of
know shape in the presence of additive stochastic noise.
The filtered signal is obtained by cross-correlating the raw
waveform for the signal template
The output is symmetric around the peak, giving a better
identification of the timing.
We successfully tested an online FPGA based implementation
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Timing 1 cm2 @ 77 K:
Using matched filter
Gain 106
SNR = 30
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Timing 1 cm2 @ 77 K:
Using matched filter
Gain 106
SNR = 30 SNR = 18
1PE resolution: 0.06
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Timing 1 cm2 @ 77 K:
Using matched filter
Gain 106
Jitter = 1 ns
SNR = 30
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Req
Ceq
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10% of noise
1 cm2 @ 77 K:
Rn = 20 Ω
Rs = 20 Ω
Req = 60 Ω
Rf = 3.9 k Ω
no = -141 dBm
39 M D’I e o et al., IEEE TNS , , 8
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MULTIPLE SIPMS READOUT
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6 cm² SiPM readout
• To read more SiPMs with the same amplifier a
partial ganging solution is used
• This design increases the capacitance seen by
the TIA only by 50%
• For cryogenic use a precision voltage divider is
required • Otherwise the voltage division will be defined by the
leakage current
Req
Ceq
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6 cm² SiPM readout
Req
Ceq
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6 cm² SiPM readout
15% of noise 6 cm2 @ 77 K:
Rn = 20 Ω
Rs = 60 Ω
Req = 60 Ω
Rf = 10 k Ω
no = -127 dBm
Req
Ceq
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6 cm2 @ 77 K
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6 cm2 @ 77 K
5 VoV = 1.5 106
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24 cm² @ 77 K
4 x 6 cm2 quadrants
are aggregated by
an active cryogenic
adder
or OPA838
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Low AP NUV
PRELIMINARY
Extended Gain SiPM for Cryogenic Application
from FBK
24 cm2 @ 77 K 8 VoV
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Conclusions • Silicon detectors is an exciting field in evolution
– Many options are open: Xrays, particle detectors, light detectors
– Each application requires a custom readout strategy
• SiPM development in continuous evolution: – Better SiPM
– Integrated digital SiPM with μm pitch (Philips DPC, 3DSiPM from NEXO for cryo-compatible readout)
– Integrated electronics for large matrix readout in development (INFN Torino for cryo-compatible readout)
– Aggregated analog readout for large SiPM surfaces
• Large SiPM arrays O(25 cm2) can be read with outstanding SNR and timing performances – SNR >> 10 & timing down to few ns
– The main contribution to the noise is from the thermal noise of the quenching resistors itself (noise limit)
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Thank you
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The role of Rs
Rs = 0
Rs = 20 Ω
For frequencies > FT the
previous model is broken
The presence of Rs limits the
noise gain up to the natural
bandwidth of the amplifier
The result is an increased SNR
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Zero-Pole cancellation
For some application it is better to
remove the recharge tail
This can be achieved with zero-pole
cancellation
AD800x
This solution does not avoid
saturation of the front-end
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ZPC Results
VoV = 3.5 SNR = 10
VoV = 4.5
VoV = 5.5
VoV = 6.5
5x5 mm2 NUV-HD
@ 300 K
The resolution is
affected by the DCR
Inductors can not be
used in cryogenic LMH6624
Amplifier
SiPM + Amplifier
F3dB = 160 MHz
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6 cm² SiPM readout
6 cm2 @ 77 K:
Rn = 20 Ω
Rs = 60 Ω
Req = 60 Ω
Rf = 10 k Ω
no = -127 dBm
6 x 1 cm2 independent readout (with analog sum)
/√ ~ ti es etter Req
Ceq
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6 cm² SiPM readout
6 cm2 @ 77 K:
Rn = 20 Ω
Rs = 60 Ω
Req = 60 Ω
Rf = 10 k Ω
no = -127 dBm
Req
Ceq
Open space to integration? It depends
For simple TIA with MOS technology
Typical en ~ V/√Hz <-> Rn(MOS) ~ 1 kΩ
For smarter designs work in progress
(see slides from Manuel Rolo)
6 x 1 cm2 independent readout (with analog sum)
/√ ~ ti es etter
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24 cm² @ 77 K
SNR = 13
5 VoV <=> 1.5 106
4 x 6 cm2 quadrants
are aggregated by
an active cryogenic
adder
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24 cm² @ 77 K
SNR = 13
jitter = 16 ns
5 VoV = 1.5 106
M D’I e o et al., IEEE TNS , , 8 56
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Low AP NUV Extended Gain SiPM for Cryogenic Application
from FBK
PRELIMINARY
Extended Overvoltage at 77 K
> 14 V
Low afterpulse
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Dummy load
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Dummy load
Noise spectrum with 6 cm²
versus a dummy load