Difference between revisions of "ADC data"
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=== ADC data === | === ADC data === | ||
Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities. | Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities. | ||
| − | * From TDC | + | * From TDC: with L the length of the paddle, <math>t_{o}</math> the time of flight of the particle, <math>v_{o}</math> the effective speed of light in the paddle <math>t_{L} </math> is the internal delay including all cables, PMT transit times ect. and same for <math>t_{R}</math> |
| − | *# <math>T_{L} = t_{o} + \frac{L-x}{v_{o}} + t_{L} </math> | + | *# <math>T_{L} = t_{o} + \frac{L-x}{v_{o}} + t_{L} </math> |
*# <math>T_{R} = t_{o} + \frac{L+x}{v_{o}} + t_{R} </math> | *# <math>T_{R} = t_{o} + \frac{L+x}{v_{o}} + t_{R} </math> | ||
*# <math>\Delta T = T_{R} - T_{L} </math> | *# <math>\Delta T = T_{R} - T_{L} </math> | ||
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*# <math>x = \frac{1}{2}(\Delta T - \delta)v_{o} </math> | *# <math>x = \frac{1}{2}(\Delta T - \delta)v_{o} </math> | ||
| − | * From ADC | + | * From ADC: with <math>E_{0}</math> the original energy deposition, d the attenuation length and <math>\epsilon_{L}</math> the light transmission through all couplings including the gain of the PMT and attenuation in the cables. L and R refer to left and right. |
*# <math>E_{L} = \epsilon_{L}E_{0}e^{\frac{-(L-x)}{d}} </math> | *# <math>E_{L} = \epsilon_{L}E_{0}e^{\frac{-(L-x)}{d}} </math> | ||
*# <math>E_{R} = \epsilon_{R}E_{0}e^{\frac{-(L+x)}{d}} </math> | *# <math>E_{R} = \epsilon_{R}E_{0}e^{\frac{-(L+x)}{d}} </math> | ||
*# <math>x = ln( \frac{E_{L}}{E_{R}} \frac{\epsilon_{R}}{\epsilon_{L}})\frac{d}{2} </math> | *# <math>x = ln( \frac{E_{L}}{E_{R}} \frac{\epsilon_{R}}{\epsilon_{L}})\frac{d}{2} </math> | ||
Revision as of 17:35, 18 May 2015
ADC data
Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities.
- From TDC: with L the length of the paddle,
the time of flight of the particle, 
the effective speed of light in the paddle 
is the internal delay including all cables, PMT transit times ect. and same for 
-
- From ADC: with
the original energy deposition, d the attenuation length and 
the light transmission through all couplings including the gain of the PMT and attenuation in the cables. L and R refer to left and right.
-
