Difference between revisions of "FC Analysis"

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For distribution over all beam pulses:<br>
 
For distribution over all beam pulses:<br>
  <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{i}}}{pulses};</math><br>
+
  <math> ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{ave}^{pulse}}}{pulses};</math><br>
 
  <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{ave}^{pulse} - ADC_{ave}\right)^{2}}}};</math>
 
  <math> ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{ave}^{pulse} - ADC_{ave}\right)^{2}}}};</math>
  

Revision as of 07:21, 27 March 2010

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For each beam pulse:

[math] ADC_{ave}^{pulse}=\frac{\sum_{i=1}^{16}{ADC_{i}*i}}{\sum_{i=1}^{16}{ADC_{i}}};[/math]

For distribution over all beam pulses:

[math] ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{ave}^{pulse}}}{pulses};[/math]
[math] ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{ave}^{pulse} - ADC_{ave}\right)^{2}}}};[/math]



FC calculation 2 3.png

FC plot 2 3.png

Below is the plot of the charge in Faraday cup (pC) as a function of magnet current (vertical axis, A) (basically magnetic field) and ADC (horizontal axis).

Far.jpg

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