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April 29-30, 2013. The mechanisms of photo-conversion in SiPM. Elena Popova Moscow Engineering and Physics Institute. Corsica meeting on fast timing. pixel. h . R 50 . substrate. U 60V. Silicon Photomultiplier (Si PM ). Multipixel device with common readout.
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April 29-30, 2013 The mechanisms of photo-conversion in SiPM Elena Popova Moscow Engineering and Physics Institute Corsica meeting on fast timing
pixel h R 50 substrate U60V Silicon Photomultiplier (SiPM) Multipixel device with common readout • Each pixel – reverse biased above breakdownp-n-junction operated in selfquenching Geiger mode Lets consider the way for SiPM signal Corsica timing 29-30 April 2013
The way of signal. 1D E 13 m 1m - + p n Ubias R • Photoeffect (light absorption) - 0 time • Diffusion inside undepleted region (0 fields) - =L2/D D=38cm2/c L=1m 250ps • Drift in depleted region (low fields) 107 cm/c – saturated e- velocity x=3mt30ps • Avalanche build up (high fields) – several times*(3) T100ps Corsica timing 29-30 April 2013
0 4 3 depth d, m Delay, ps FWHM, ps Jitter component 2 Current, A 1) 0.1 25 70 2) 0.3 60 150 3) 0.5 120 200 4) 1.0 300 450 1 0 200 400 600 Time, ps 1D simulation by using ISE TCAD. Diffusion from entrance window. Laser pulse 10ps 400 nm (x0=100nm) Fixed intensity Reverse biased pn-junction Doping distribution and build-in fields are not constant Should be weak sensitivity to applied voltages (depletion region should not changes much) Corsica timing 29-30 April 2013
Diffusion from substrate Should be weak sensitivity to applied voltages (depletion region should not changes much) Corsica timing 29-30 April 2013
Impact ionization in high electric fields • electron • hole Ionization coefficient Avalanche build up 1D Average number of ionization along carrier trajectory on unit lenght Speed of avalanche build up depends from applied voltages and depletion region depth Corsica timing 29-30 April 2013
All mentioned above points for 2D(3D) case • 1 and 2 – different • diffusion • Drift • Avalanche build up 2 1 • areas in pixel: • Active central part of pixel • Pixel’s perifery • Interpixels area Corsica timing 29-30 April 2013
Avalanche build up 3D Corsica timing 29-30 April 2013
Avalanche build up 3D Corsica timing 29-30 April 2013
Kj – vertical speed u0 - transversal speed Corsica timing 29-30 April 2013
Jitter should not depends on overvoltage! Corsica timing 29-30 April 2013
Current inside pixel Cpixel Model Corsi with Transversal current expansion Model for current expantion I throw RL = 8mV/50OhM=160A Corsica timing 29-30 April 2013
1 2 • Waveforms: • Single pixel • One pixel from 1x1mm2 SiPM the same topology Corsica timing 29-30 April 2013
3x3mm2 4* 3x3mm2 Corsica timing 29-30 April 2013
SPICE N=1000 pixels. Different Cfast Current inside pixel Current on load Corsica timing 29-30 April 2013
1x1mm2 Corsica timing 29-30 April 2013
SiPM readout SiPM is a system of connected together pixels with one common readout pad Metal buses – delay lines Corsica timing 29-30 April 2013
1 2 Out-put Corsica timing 29-30 April 2013
SiPM signal delay dependence on the SiPM chip area Corsica timing 29-30 April 2013
Timing by 5x5mm2 SiPM: a single phe resolution Fig.’s below show the impact of SiPM size(size of one pixel and SiPM itself)on single phe resolution FWHM for SiPMs 1x1mm2(pixel size 25mkm) and 5x5mm2(pixel size 100mkm) Corsica timing 29-30 April 2013
Single µ-cell (100µm x 100µm) time resolution: 89 ps For 1mm x 1mm size SiPM the time response is practically the same as for the single µ-cell Corsica timing 29-30 April 2013
Single pixel response (MEPHI) Corsica timing 29-30 April 2013
Main SiPM’s parameters. Jitter vs light intensity. ADVANCED TECHNOLOGY & PARTICLE PHYSICSProceedings of the 7th International Conference on ICATPP-7Villa, Olmo, Como, Italy, 15 - 19 October 2001 B.Dolgoshein et al.“THE ADVANCED STUDY OF SILICON PHOTOMULTIPLIER” Corsica timing 29-30 April 2013
SUMMARY How we obtain a signal from SiPM 1D case • Photoeffect (0 time delta-function) • Diffusion in undepleted regions • Drift in depleted region • Vertical build-up 2D(3D) difference center-edge • Transversal expansion Electrical signal propagation • Total number of pixels in SiPM • Signal readout • Pixel position Corsica timing 29-30 April 2013
MPPC 1x1 IRST 1x1 Corsica timing 29-30 April 2013