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Next-GenerationCMOS Image Sensor:
Quanta Image Sensors
Eric R. FossumPlenary Talk (Zoom)
Matter and Technology Annual MeetingHelmholtz Association
June 16, 2021
THAYER SCHOOL OF ENGINEERING AT DARTMOUTH © ER Fossum 1
© ER Fossum 2
• Dr. Jiaju Ma Gigajot• Dr. Saleh Masoodian Gigajot• Dr. Leo Anzagira ON-Semi Gigajot• Dr. Donald Hondongwa Varex Gigajot• Dr. Dakota Starkey Gigajot• Dr. Song Chen FB/Oculus• Mr. Wei Deng • Mr. Zhaoyang Yin• Yue Song• Rachel Zizza• Prof. Kofi Odame• Prof. Jifeng Liu• Prof. Alex Hartov
• Thank you Rambus, TSMC, DARPA, NASA/RIT, Goodix
Contributors to QIS work at Dartmouth
• Mike Guidash (Rambus)• Jay Endsley (Rambus)• Prof. Yue Lu (Harvard)• Prof. Stanley Chan (Purdue)• Dr. Igor Carron (the net)• Prof. Atsushi Hamasaki (Hiroshima)• Mr. Ryohei Funatsu (NHK)
© ER Fossum 3
Cubicle
Computational image reconstruction
X-Y-t Bit Density Gray Scale
Vision: A billion pixels readout at 1000 fps (1Tb/s) with single photon-counting capability and consuming less than a watt.
Quanta Image Sensor (QIS)“Count Every Photon”
US Patent 9,225,918 Priority May 27, 2005
Specialized pixel “jot”
© ER Fossum 4
Imaging Paradigm Shift
• Might seem like a lot of extra work compared to an integrating bucket of charge in conventional CMOS image sensors (CIS).
• Counting every (visible) photon is about as sensitive as one can get for photography, security, defense, space, etc.
• Helps with small pixel vs. full-well capacity trade off.• Allows new capabilities in computational imaging such as:
• Trade off in sensitivity and resolution that can be scene-dependent or attention-dependent.
• Permits time-delay and integration in multiple independent tracks and arbitrary directions.
• Allows motion blur compensation for multiple targets.• Allows high apparent SNR for very low photon flux.
© ER Fossum 5
QIS Brief Timeline
1Mpixel Stacked RO 1000fps 1b QIS0.21e- analog
‘04 ‘05 ‘06 ‘07 ‘08 ‘09 ‘10 ‘11 ‘12 ‘13 ‘14 ‘15 ‘16 ‘17 ‘18 ‘19
Concept proposed by EF in J.Nakamura DSC book chapter
Concept presented at 2005 CCD/AIS Workshop
EF @ Siimpel EF @ Samsung
EF @ Dartmouth
Small, briefeffort at SamsungLed by EF
Start of CIS-QIS effortat Dartmouth and image reconstruction
Work on low power fast row x row readout
Pump gate jot
Sub 0.3e-
Gigajot spinoff
GJ 1st tapeout
Lower tempmeasurements
Color
‘20
2x ½ MpixSPAD-QIS
QVGA SPAD-QIS
© ER Fossum 6
Photon and photoelectron arrival rate described by Poisson process
𝑃𝑃 𝑘𝑘 =𝑒𝑒−𝐻𝐻 𝐻𝐻𝑘𝑘
𝑘𝑘!
Probability of k arrivals
𝑃𝑃 0 = 𝑒𝑒−𝐻𝐻
𝑃𝑃 𝑘𝑘 > 0 = 1 − 𝑃𝑃 0 = 1 − 𝑒𝑒−𝐻𝐻
Define quanta exposure H = φ τ H = 1 means expect 1 arrival on average.
Monte Carlo
For 1b QIS, only two states of interest
For ensemble of M jots, the expected number of 1’s : 𝑀𝑀1 = 𝑀𝑀 � 𝑃𝑃[𝑘𝑘 > 0]
© ER Fossum 7
Photoresponse as bit density
𝐵𝐵𝐵𝐵𝐵𝐵 𝐷𝐷𝑒𝑒𝐷𝐷𝐷𝐷𝐵𝐵𝐵𝐵𝐷𝐷 𝐷𝐷 ≜𝑀𝑀1
𝑀𝑀= 1 − 𝑒𝑒−𝐻𝐻
Average of one arrival per jot per integration time© ER Fossum 8
Issues with SPADs for QIS application
SPADs use avalanche multiplication for gain• High internal electric fields• Higher operating voltages (15-20V)• Larger pixels (8-25um)• High dark count rates (100-1000Hz)• Dead time• Low fill factor (low PDE <50%)• Low manufacturing yield• Small array sizes (below 0.1M jots)
But, SPADS are excellent for time resolved photon detection
© ER Fossum 9
2021 IEEE JSTQE Gramuglia et al
25um
Our approach (CMOS QIS)
No avalanche multiplication, one electron per photonUse very low capacitance sense node
∆V = ∆Q / Ce.g. 1mV = 1.6x10-19C / 160aF
One pixellight
electronsin silicon
amplifier
correlateddoublesampling (CDS)
Conversion gain CGdefined as q/C
or volts/electron
© ER Fossum 10
Voltage Output with No Electronics Noise𝑃𝑃 𝑘𝑘 =
𝑒𝑒−𝐻𝐻 𝐻𝐻𝑘𝑘
𝑘𝑘!, 𝑘𝑘 = 0, 1, 2, 3 …
H=2Probability mass function =0.27
Probability mass function =0.18
Probability mass function =0.09
Poisson probability mass function
CG = conversion gain = q/C [V/e-]
© ER Fossum 11
Quantized Values Broadened by Readout Noise
“0” “1”Single-bit QIS
© ER Fossum 12
Multi-bit jot increases flux capacity
Single bit jot0, 1 electrons
Multi-bit (2b) jot0, 1, 2, 3 electrons
𝜙𝜙𝑤𝑤𝑤𝑤 = 𝑗𝑗𝑗𝑗𝑟𝑟 2𝑤𝑤 − 1 /𝛿𝛿�̅�𝛾
At the flux capacity, there is an average of 2𝑤𝑤 − 1 photoelectronsper n-bit jot
Can increase flux capacity at same jot density and field readout rateOr, relax field readout rate and/or jot density for same flux capacity
Little impact on detector and storage well. Little impact on FD CG or voltage swing (e.g. 1mV/e -> 31mV swing for 5b jot.
© ER Fossum 13
Multi-bit QIS for Photon Number Resolution(e.g. 2-bit)
“00” “01” “10” “11”
© ER Fossum 14
Pump-Gate Jot: Minimize TG-FD overlap capacitanceHighest possible CG
(Lowest possible cap.)
BSI
TGFD
SW
BSI
vertical lateral
US Patent No. 9,728,565 B2Fossum, Ma, Hondongwa © ER Fossum 15
Experimental DataPhoton Counting Histogram for “a Golden Pixel”
20k reads of same jot, 0.175e- rms read noise ~21DN/e- (61.2uV rms 350uV/e- or 0.45fF)Room temperature, no avalanche, 20 CMS cycles, jot:TPG PTR BC
© ER Fossum 16
Model vs. Data = New characterization toolsH=2.12e- Un=0.188e- rms
Conversion gain from peak spacingQuanta exposure from relative peak heights
Read noise from valley-peak modulation value
© ER Fossum 17
Experimental DataPhoton Counting Histograms
20k reads of same jot, 0.20e- rms read noise ~21DN/e-Room temperature, no avalanche, 20 CMS cycles, jot:TPG PTR BC
Ma, Masoodian, Wang, Fossum 2017
H=8.25
© ER Fossum 18
Quantum Efficiency
Courtesy Gigajot
Standard CIS BSI Process
© ER Fossum 19
Lag
© ER Fossum © ER Fossum 20
Very Low Dark Current (0.07 cps at RT)
Room Temp: ~0.07e-/s avg. (~1pA/cm2)Previously measured ~2x every 10C
Storage well isolated from surface
Courtesy Gigajot
© ER Fossum 21
Noise in first transistor is critical
Log P(f)
Log f
1/f ~ 1/ gate area
thermalS
DG
© ER Fossum 22
1/f Noise Modelling Review
Hooge's mobility fluctuation modelPhonon-scattering-induced mobility fluctuation.
McWhorter's number fluctuation model
Carrier number fluctuation, interface traps.
Berkeley unified modelNumber fluctuation and the correlated mobility fluctuation at surface
Probability of occurrence: ~2%
SFRTN
1/f + thermal noise
Empirical and bulk
1DN=17uV350uV/e-
13e-input referred
1e- trapped at Si-SiO2equiv. to 13e- on gate!
© ER Fossum 23
At 0.14x0.27um gate area, expect 1-5 traps per MOSFET if NIT ≅ 1x1010 traps/cm2
Cooling to -70C Further reduces Read Noise and Improves CG
Every pixel is a little different
Recently, PRNU <1.5%[Gigajot]
© ER Fossum 24
“Backside” silicon surface
Readout “FD”
Detector wafer
Logic wafer
© ER Fossum
20 Mpixel single-photon detector array
• Process technology: TSMC CMOS BSI 45nm/65nm 2-layer stacking• Cluster parallel readout architecture for low power and modularity• 20 different 1Mpixel arrays on test chip• Readout Variation:
Analog Single-bit Digital
• Pixel: 1.1µm 1024x1024• Pixel variation: TPG, PTR, JFET
20 Mpixel single photon detector array© ER Fossum 26
Summary of Measured Results 1Mpixel 1b QIS Digital Subarray at Room Temp
Equiv. PD Dead Time <0.1%Array 1024 (H) x 1024 (V)
Field rate 1040fpsADC sampling rate 4MSa/s
ADC resolution 1 bit
Output data rate32 (output pins) x
34Mb/s= 1090Mb/s
Package PGA with 224 pins
Power
Array 2.3mW256 ADCs 7.5mW
Addressing 4.1mWI/O pads 3.7mW
Total 17.6mWFOM ADC 6.9pJ/b
Process 45nm (jot layer), 65nm (ASIC layer)
VDD
1.8V & 2.5V (Analog, digital and
array), 3V & 2.2V (I/O pads)
Jot typeBSI Tapered Pump
Gate2-Way Shared RO
Jot pitch 1.1µmBSI Fill Factor ~100%
Quantum Efficiency 79% @ 550nmConversion gain on
column 345µV/e-
Input Referred Noise 0.22e- r.m.s.Corresponding BER ~1%
Avg. Dark current (RT) 0.16e-/sEquiv. Dark Count Rate
(RT) 0.07Hz/jot
𝐹𝐹𝐹𝐹𝑀𝑀 =𝑃𝑃𝑃𝑃𝑃𝑃𝑒𝑒𝑃𝑃 𝐶𝐶𝑃𝑃𝐷𝐷𝐷𝐷𝐶𝐶𝐶𝐶𝐶𝐶𝐵𝐵𝐵𝐵𝑃𝑃𝐷𝐷
# 𝑃𝑃𝑗𝑗 𝐶𝐶𝐵𝐵𝑝𝑝𝑒𝑒𝑝𝑝𝐷𝐷 × 𝑗𝑗𝑃𝑃𝑓𝑓𝐶𝐶𝑒𝑒 𝑃𝑃𝑓𝑓𝐵𝐵𝑒𝑒[𝐶𝐶𝑝𝑝𝑏𝑏
]
© ER Fossum 27
J. Ma, S. Masoodian, D. Starkey, E.R. Fossum, Photon-number-resolving megapixel image sensor at room temperature without avalanche gain, OSA Optica, vol. 4, no. 12, pp.1474-1481, December 2017. https://doi.org/10.1364/OPTICA.4.001474
1Mjot prototype QIS experimental results
1040fps Target scene
Output
© ER Fossum 28
Saleh Masoodian Jiaju Ma
Gigajot spinoff (2017)
QIS great for low light, high resolution imagingand photon-number resolving systems
• Security systems• Low light vision• Internet of things (IOT)• Biological imaging• Astronomy• Quantum Cryptography• Photography• Cinematography
© ER Fossum 29
1 2 3 4 5 6 70
1Mpixel 3b QIS ImageExposure of 0.87e-/pixel average
Raw image and Histogram
2x2x2 cubicle sum only
2x2x2 cubicle denoise
© ER Fossum 30
0.01 lux, f/1.4 600msec
• Deep sub-electron read noise enables photon-counting and photon-number resolution in visible light range
• Fabricated in almost standard CMOS image sensor foundry process
• Operates at room temperature with ~1um or less pixel pitch
Near future: Probably QIS technology merges with CIS technology
Conclusions
© ER Fossum 33