Difference between revisions of "ADC data"

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(→‎ADC data =)
(→‎ADC data)
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*# <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 17:29, 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
    1. T_{{L}}=t_{{o}}+{\frac {L-x}{v_{{o}}}}+t_{{L}}
    2. T_{{R}}=t_{{o}}+{\frac {L+x}{v_{{o}}}}+t_{{R}}
    3. \Delta T=T_{{R}}-T_{{L}}
    4. \delta =t_{{R}}-t_{{L}}
    5. x={\frac {1}{2}}(\Delta T-\delta )v_{{o}}
  • From ADC
    1. E_{{L}}=\epsilon _{{L}}E_{{0}}e^{{{\frac {-(L-x)}{d}}}}
    2. E_{{R}}=\epsilon _{{R}}E_{{0}}e^{{{\frac {-(L+x)}{d}}}}
    3. x=ln({\frac {E_{{L}}}{E_{{R}}}}{\frac {\epsilon _{{R}}}{\epsilon _{{L}}}}){\frac {d}{2}}
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