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SiPM Amplifier Optimization (view source)
Revision as of 21:42, 16 October 2011
, 21:42, 16 October 2011→Gain
The amplifier provided by Photonique with a gain of roughly 3 kΩ was well suited for single photon counting. However, for typical signals ranging in the hundreds of SiPM pixels, this gain excessive. However, the option of switching back to single photon detection for the purposes of calibration would be a nice feature.
The amplifier provided by Photonique with a gain of roughly 3 kΩ was well suited for single photon counting. However, for typical signals ranging in the hundreds of SiPM pixels, this gain excessive. However, the option of switching back to single photon detection for the purposes of calibration would be a nice feature.
From the perspective of expected signal amplitudes (taking into account optical and SiPM's quantum efficiencies) signals around 300 pixels (px) are expected. With a SiPM gain of about 2 × 10<sup>5</sup> ~ 9.6 pC are expected to be deposited. Design uncertainties that go into the full calculation summarized here can easily allow variation in this result by a factor of two or more. Roughly estimating this charge to be contained in a triangular pulse with 5 ns FWHM (after all the broadening inherent in the amplifier) yields a total signal peak of 0.5 mA. With this figure and the full range of the ADC (2V) it seems that 3 kΩ is still appropriate. However this does not leave room for variation discussed above. Instead, a goal of sub-1 kΩ gain was adopted.
From the perspective of expected signal amplitudes (taking into account optical and SiPM's quantum efficiencies) signals around 300 pixels (px) are expected. With a SiPM gain of about 2 × 10<sup>5</sup> ~ 9.6 pC are expected to be deposited. Design uncertainties that go into the full calculation summarized here can easily allow variation in this result by a factor of two or more. Roughly estimating this charge to be contained in a triangular pulse with <strike>5 ns</strike> 20 ns? FWHM (after all the broadening inherent in the amplifier) yields a total signal peak of 0.5 mA. With this figure and the full range of the ADC (2V) it seems that 3 kΩ is still appropriate. However this does not leave room for variation discussed above. Instead, a goal of sub-1 kΩ gain was adopted.
For the high gain setting, the issue is mainly the vertical resolution of the ADC. For most of the duration of this project, the 8-bit version of the ADC was planned to be allocated for microscope readout, imposing a stringent requirement on gain in order to avoid the digitization noise inherent in signals only a few adc voltage steps. The 12-bit ADC makes clean readout of single pixel wavefunctions more realistic: at the most sensitive scale of 0.5 V, the resolution is 0.12 mV. However, we must also take into account noise and a possible factor of two loss in the split of the signal between the ADC and the CFD (constant fraction discriminator to prepare for time pick-off.) This time, it is appropriate to take a pessimistic scenario of the pulse shape: taking a triangular pulse with 30 ns FWHM, leading to a single pixel current peak of 0.27 μA. Under these conditions, gain of 7 kΩ is enough, giving 15 adc steps per pixel.
For the high gain setting, the issue is mainly the vertical resolution of the ADC. For most of the duration of this project, the 8-bit version of the ADC was planned to be allocated for microscope readout, imposing a stringent requirement on gain in order to avoid the digitization noise inherent in signals only a few adc voltage steps. The 12-bit ADC makes clean readout of single pixel wavefunctions more realistic: at the most sensitive scale of 0.5 V, the resolution is 0.12 mV. However, we must also take into account noise and a possible factor of two loss in the split of the signal between the ADC and the CFD (constant fraction discriminator to prepare for time pick-off.) This time, it is appropriate to take a pessimistic scenario of the pulse shape: taking a triangular pulse with 30 ns FWHM, leading to a single pixel current peak of 0.27 μA. Under these conditions, gain of 7 kΩ is enough, giving 15 adc steps per pixel.
=== Minimal Dependence on <math>\beta</math> ===
=== Minimal Dependence on <math>\beta</math> ===