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Malte Backhaus - FE-I4 testing, 07.02.2011 1 Calibration Constant Measurements Malte Backhaus, University of Bonn

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Page 1: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 1

Calibration Constant Measurements

Malte Backhaus, University of Bonn

Page 2: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 2

Problem

• Problem:can not measure C_inj

• Idea:use known input charge from γ in sensor: #e = Eγ / 3.61 and compare with measured threshold

• How to do this?

Vth

#e-h = Eγ/3.61

Vcal

C_inj

Page 3: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 3

Idea

• Measure hit rate in dependency of threshold. Expected result:

Rate

threshold

At „50%-value“: Threshold [e] = Eγ / 3.61 [e]

Page 4: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 4

Idea

• Measure hit rate in dependency of threshold. Expected result:

• Example measurement: Am241 how to know „50%-value“?

Rate

threshold

At „50%-value“: Threshold [e] = Eγ / 3.61 [e]

Page 5: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 5

Idea

• Measure hit rate in dependency of threshold. Expected result:

• Example measurement: Am241 how to know „50%-value“? Derivative of rate is spectrum!

Rate

threshold

At „50%-value“: Threshold [e] = Eγ / 3.61 [e]

Page 6: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 6

Measurement plan

• Use variable x-ray source to have different Eγ with known energies.

• Iterative process for four energies: - Search for „peak energy [VthinDAC]“ with untuned chip. - Set peak VthinDAC, measure „mean threshold“. - Tune chip to „mean threshold“.- Measure „peak energy [VthinDAC]“ with tuned chip.- Peak position [VthinDAC] moved (dominated by some pixels) need to retune chip… - Set (new) peak VthinDAC, measure „mean threshold“. - Tune chip to „mean threshold“.- finally measure peak position [VthinDAC].- Measure threshold [e] with this settings, compare with expected #e = Eγ / 3.61.

• Calculate correction for calibration constant…

• Problems: Measurement loop implemented in USBpixTest, but USBpixTest can not tune the chip / load a tuning need to run Stcontrol and USBpixTest in parallel, which is dangerous…

• Only „final“ measurements for Mo, Ag, Ba and Tb are shown in next slides…

Page 7: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 7

Mo

• Eγ: 17.44 keV and 19.63 keV• Expected #e-h pairs: 4831 and 5438

Page 8: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 8

Ag

• Eγ: 22.1 keV and 24.99 keV• Expected #e-h pairs: 6122 and 6922

Page 9: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 9

Ba

• Eγ: 32.06 keV and 36.55 keV• Expected #e-h pairs: 8881 and 10125

Page 10: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 10

Tb

• Eγ: 44.23 keV and 50.65 keV• Expected #e-h pairs: 12252 and 14030

Page 11: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 11

#e-h-pairs vs. VthinDAC

Page 12: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 12

Threshold vs. #e-h-pairs

Page 13: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 13

Quick result

• Calibration constant correction factor: K = 1 / slope of fit = 1 / 0.6443 = 1.55

• # e_injected = (V_cal * C_inj) * 1.55 = ((PulserDAC * slope + offset) * C_inj) * 1.55

• slope of PulserDAC can be measured (was assumed to be 1.5 mV/DAC) Thresholds measured using Stcontrol have to be multiplied with 1.55

Noise: ~90e * 1.55 = ~140 e, close to expected noise value with sensor…

• Test this correction factor with Kβ-peak…

Page 14: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 14

Threshold vs. #e-h-pairs

Page 15: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 15

PulserDAC calibration

• Vcal [mV] = PulserDAC [DAC] * 2.06 [mV/DAC] K splits to K_plsr and K_inj

Page 16: Malte Backhaus - FE-I4 testing, 07.02.20111 Calibration Constant Measurements Malte Backhaus, University of Bonn

Malte Backhaus - FE-I4 testing, 07.02.2011 16

Result + Outview

• K_plsr = slope_measured / slope_assumed = 2.06 / 1.5 = 1.37• K = K_plsr * K_inj K_inj = K / K_plsr = 1.55 / 1.37 = 1.13

C_inj = C_assumed * K_inj = 5.9 fF * 1.13 = 6.7 fF

• Still to do:

- Think carefully about uncertainties:does splitting charge cloud lower rate? (Remark from Maurice...)width of photo-peak in Si, Threshold, ...

- Redo this procedure with second pixel flavour (result should be the same...)

- Redo this procedure with CAP0 and CAP1 independendly value of CAP0 and CAP1

- Crosscheck result with 2nd method...