Ftof p1a:Integrated Digitized Bank - Revision history

Vanwdani: /* Left/Right */

2016-07-22T19:05:07Z

Left/Right

Vanwdani: /* Left/Right */

2016-07-22T19:04:24Z

Left/Right

Vanwdani: /* Left/Right */

2016-07-22T19:03:55Z

Left/Right

Vanwdani: /* Left/Right */

2016-07-22T19:03:10Z

Left/Right

Vanwdani: /* Left/Right */

2016-07-22T19:02:40Z

Left/Right

Vanwdani: /* Left/Right */

2016-07-22T19:01:55Z

Left/Right

Vanwdani: /* Left/Right */

2016-07-22T18:00:27Z

Left/Right

Vanwdani at 16:56, 22 July 2016

2016-07-22T16:56:19Z

Vanwdani: /* U */

2016-07-22T16:26:15Z

Vanwdani: /* Time to Digital Conversion */

2016-07-22T16:25:44Z

Time to Digital Conversion

@@ Line 117: / Line 117: @@
 <center><math>
 N^L_{pe} = E_L \cdot CONV \cdot QE (6)
-</center></math>
+</math></center>
@@ Line 123: / Line 123: @@
 N^R_{pe} = E_R \cdot CONV \cdot QE (7)
-</center></math>
+</math></center>
 where,

@@ Line 117: / Line 117: @@
 <center><math>
 N^L_{pe} = E_L \cdot CONV \cdot QE (6)
 N^R_{pe} = E_R \cdot CONV \cdot QE (7)

@@ Line 116: / Line 116: @@
 <center><math>
-N^L_{pe} = E_L \cdot CONV \cdot QE, (6)
+N^L_{pe} = E_L \cdot CONV \cdot QE (6)
-N^R_{pe} = E_R · CONV · QE, (7)
+N^R_{pe} = E_R \cdot CONV \cdot QE (7)
 </center></math>

@@ Line 116: / Line 116: @@
 <center><math>
-N^L_{pe} = E_L · CONV · QE, (6)
+N^L_{pe} = E_L \cdot CONV \cdot QE, (6)
 N^R_{pe} = E_R · CONV · QE, (7)
-<\center><\math>
+</center></math>
 where,

@@ Line 117: / Line 117: @@
 <center><math>
 N^L_{pe} = E_L · CONV · QE, (6)
 N^R_{pe} = E_R · CONV · QE, (7)
-</center></math>
+<\center><\math>
 where,

@@ Line 106: / Line 106: @@
 generated photoelectrons at each PMT is subject to Poisson fluctuations. The digitization
 of the FTOF ADC values for each counter hit proceeds using the following steps:
 . Compute the energies measured by the left and right PMTs based on the deposited
 energy and the distances along the bar from the hit point to the PMTs as given in
 Eqs.(2) and (3).
 . Determine the number of photoelectrons measured by the PMTs from the computed
 values of EL and ER. Based on studies carried out with the FTOF detectors, a reasonable
-parameterization of the number of photoelectrons Npe is given by:
+parameterization of the number of photoelectrons N<sub>pe</sub> is given by:
-−
+<center><math>
-pe = EL · CONV · QE, (6)
+N^L_{pe} = E_L · CONV · QE, (6)
-−
+N^R_{pe} = E_R · CONV · QE, (7)
-pe = ER · CONV · QE, (7)
+</center></math>
 where,
-• CONV = 1800 photoelectrons/MeV deposited
 CONV = 1800 photoelectrons/MeV deposited
-• QE = 27% (the quantum efficiency of the PMT).
-. Smear Npe by a Poisson distribution. The resulting “smeared” number of photoelectrons
+QE = 27% (the quantum efficiency of the PMT).
-based on the actual deposited energy is given by NSMR
-pe .
 . Determine the smeared values of EL and ER using:
-−
-SMR
+<center><math>
-L =
+E^SMR_L =/frac{N^{L,SMR}_pe}{CONV · QE} , (8)
-NL,SMR
-pe
+E^SMR_R =/frac{N^{R,SMR}_pe}{CONV · QE} . (9)
 CONV · QE , (8)
 . Determine the “measured” values of the left and right ADCs using:
 ADCL =

← Older revision		Revision as of 18:00, 22 July 2016
Line 99:		Line 99:

	===Left/Right===		===Left/Right===
		+	The simulation determines the energy deposited in a given scintillation bar from a passing
		+	charged particle along its path. The path is defined between the hit entry point and the
		+	hit exit point. The light generated by the passing charged particle then propagates to the
		+	PMTs at either end of the bar. The conversion of the truth value of deposited energy to
		+	the recorded ADC values (ADCL and ADCR) must take into account that the number of
		+	generated photoelectrons at each PMT is subject to Poisson fluctuations. The digitization
		+	of the FTOF ADC values for each counter hit proceeds using the following steps:
		+	1. Compute the energies measured by the left and right PMTs based on the deposited
		+	energy and the distances along the bar from the hit point to the PMTs as given in
		+	Eqs.(2) and (3).
		+	2. Determine the number of photoelectrons measured by the PMTs from the computed
		+	values of EL and ER. Based on studies carried out with the FTOF detectors, a reasonable
		+	parameterization of the number of photoelectrons Npe is given by:
		+	N
		+	L
		+	pe = EL · CONV · QE, (6)
		+	N
		+	R
		+	pe = ER · CONV · QE, (7)
		+	where,
		+	• CONV = 1800 photoelectrons/MeV deposited
		+	5
		+	• QE = 27% (the quantum efficiency of the PMT).
		+	3. Smear Npe by a Poisson distribution. The resulting “smeared” number of photoelectrons
		+	based on the actual deposited energy is given by NSMR
		+	pe .
		+	4. Determine the smeared values of EL and ER using:
		+	E
		+	SMR
		+	L =
		+	NL,SMR
		+	pe
		+	CONV · QE , (8)
		+	E
		+	SMR
		+	R =
		+	NR,SMR
		+	pe
		+	CONV · QE . (9)
		+	5. Determine the “measured” values of the left and right ADCs using:
		+	ADCL =
		+	E
		+	SMR
		+	L
		+	K
		+	·
		+	1
		+	GL
		+	=
		+	E
		+	SMR
		+	L
		+	K
		+	·
		+	exp µ−yL
		+	λL
		+	¶
		+	exp µ−yR
		+	λR
		+	¶¸−1/2
		+	, (10)
		+	ADCR =
		+	E
		+	SMR
		+	R
		+	K
		+	·
		+	1
		+	GR
		+	=
		+	E
		+	SMR
		+	R
		+	K
		+	·
		+	exp µ−yL
		+	λL
		+	¶
		+	exp µ−yR
		+	λR
		+	¶¸−1/2
		+	. (11)
		+	Here,
		+	• The term
		+	K =
		+	
		+	
		+	³
		+	dE
		+	dx ´
		+	MIP
		+	· t
		+	ADCMIP
		+	
		+	 (12)
		+	is a conversion factor to go from ADC channel to energy.
		+	• ADCMIP = ADC value for normally incident MIPs at the center of the scintillation
		+	bar
		+	•
		+	³
		+	dE
		+	dx ´
		+	MIP
		+	= energy loss for MIPs in the scintillation bars (1.956 MeV/cm)
		+	• t = scintillation bar thickness (cm)
		+	Note that in the Monte Carlo ADCL,R actually represents ADCL,R − P EDL,R, the
		+	pedestal-subtracted ADC value from the data. Also note that the database includes separate
		+	values for λL and λR. In practice these values are the same such that λL = λR = λ.

	===U===		===U===

@@ Line 1: / Line 1: @@
 =Forward Time of Flight Detector=
 {| border=1
    |+ FTOF

← Older revision		Revision as of 16:26, 22 July 2016
Line 89:		Line 89:

	===U===		===U===
		+
		+
		+	==Number of Hits==

← Older revision		Revision as of 16:25, 22 July 2016
Line 86:		Line 86:

	==Time to Digital Conversion==		==Time to Digital Conversion==
		+	===Left/Right===
		+
		+	===U===