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Investigation of Detector Behavior At High
Count Rates for the Purple Crow Lidar
G. Farhani, R. J. Sica, P.S Argall
Contents
 Photomultiplier tubes (PMTs)
 Analog and Digital detection
 Merging profiles
 Making synthetic data
 Final results
Photomultiplier Tubes
Analog Mode and Digital Mode
Photon counting and dead-time
correction
 What is dead-time?
 Paralyzable detector:
Nobs = Ntrueexp(τNtrue)
 NonParalyzable detector:
Nobs = Ntrue
1+
τNtrue
Nobs : the observed counts
Ntrue : the true counts
τ: the dead-time (resolving time)
Figure: Licel Photomultiplier Module
R7400 hand book
Merging the Photon Counts (PC) and
Analog Detection (AD) profiles
Convert AD to “virtual” count rate units:
 PC = a* AD +b
Errors contributed to the merging process?
Figure: The PC (black) and converted AD (red) profiles. Petty & Turner paper
(2009).
Synthetic PC profile from Lidar
equation
 Knowing Lidar equation:
N: number of returned detected photons A/4πZ2 : the effective area of telescope
∆t: the integration time ∆z: the bin size
ξ: system-specific receiver efficiency B: the background count rate
Τ-emitted: transmittance of the photons
Τ-return: return transmittance of the photons
O(z): the overlap function of the receiver field of view
: the laser power
δ: the scattering cross section of the target
n(z): the number density of scatterers
Merging the synthetic data and error
contributed to it.
 The merging regions: when both profiles have linear behavior:
We use Pearson momentum correlation test
10 to 20 MHz and 0.5 to 5 MHz
 Monte Carlo results:
Error from merging process is almost zero.
( The order of 10E-12)
.
The effect of dead-time correction
Figure1: for the count profiles there is a small difference between two
profiles (the one that has dead-time correction and the one that has
not)
Figure2: Two regression of AD-PC are shown, with or with out
dead-time correction
Temperature profile
 The effect of dead-time correction on
temperature profiles can be to
8 K. (1.4 % Percentage difference)
(Different merging regions might lead to
bigger or smaller difference)
Results and feature works
 The use of AD-PC combination extends the dynamic range of detection,
meanwhile it does not introduce any effective error.
 A distinct error to the temperature profile can be seen if the dead-time
correction is not applied.
 The difference between the temperature profiles considering the effect of
dead-time correction can be up to 1.5 %
 Choosing the threshold for merging region can effect the dead-time
correction error, but it does not effect the merging process error.
 The dead-time correction uncertainty and it’s contribution in final
temperature profile
Thanks to:

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Investigation of Detector Behavior At High Count Rates for the Purple Crow LidarCreate workshop

  • 1. Investigation of Detector Behavior At High Count Rates for the Purple Crow Lidar G. Farhani, R. J. Sica, P.S Argall
  • 2. Contents  Photomultiplier tubes (PMTs)  Analog and Digital detection  Merging profiles  Making synthetic data  Final results
  • 4. Analog Mode and Digital Mode
  • 5. Photon counting and dead-time correction  What is dead-time?  Paralyzable detector: Nobs = Ntrueexp(τNtrue)  NonParalyzable detector: Nobs = Ntrue 1+ τNtrue Nobs : the observed counts Ntrue : the true counts τ: the dead-time (resolving time) Figure: Licel Photomultiplier Module R7400 hand book
  • 6. Merging the Photon Counts (PC) and Analog Detection (AD) profiles Convert AD to “virtual” count rate units:  PC = a* AD +b Errors contributed to the merging process? Figure: The PC (black) and converted AD (red) profiles. Petty & Turner paper (2009).
  • 7. Synthetic PC profile from Lidar equation  Knowing Lidar equation: N: number of returned detected photons A/4πZ2 : the effective area of telescope ∆t: the integration time ∆z: the bin size ξ: system-specific receiver efficiency B: the background count rate Τ-emitted: transmittance of the photons Τ-return: return transmittance of the photons O(z): the overlap function of the receiver field of view : the laser power δ: the scattering cross section of the target n(z): the number density of scatterers
  • 8. Merging the synthetic data and error contributed to it.  The merging regions: when both profiles have linear behavior: We use Pearson momentum correlation test 10 to 20 MHz and 0.5 to 5 MHz  Monte Carlo results: Error from merging process is almost zero. ( The order of 10E-12) .
  • 9. The effect of dead-time correction Figure1: for the count profiles there is a small difference between two profiles (the one that has dead-time correction and the one that has not) Figure2: Two regression of AD-PC are shown, with or with out dead-time correction
  • 10. Temperature profile  The effect of dead-time correction on temperature profiles can be to 8 K. (1.4 % Percentage difference) (Different merging regions might lead to bigger or smaller difference)
  • 11. Results and feature works  The use of AD-PC combination extends the dynamic range of detection, meanwhile it does not introduce any effective error.  A distinct error to the temperature profile can be seen if the dead-time correction is not applied.  The difference between the temperature profiles considering the effect of dead-time correction can be up to 1.5 %  Choosing the threshold for merging region can effect the dead-time correction error, but it does not effect the merging process error.  The dead-time correction uncertainty and it’s contribution in final temperature profile