LB Thesis SNR: Difference between revisions

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[[File:LB 170049 Background Overlay xmgrace.png|200px]]
[[File:LB 170049 Background Overlay xmgrace.png|200px]]


The clearest exponential behavior is seen in the 1% sample. The background rate dropped by 62% between the first and second measurements (<math> \delta t </math> = 7.5 minutes). This indicated that considering the background to be constant from <math> t_{Beam Off} </math> until <math> t_{Measure} </math>, which was an average of
The clearest exponential behavior is seen in the 1% sample. The background rate dropped by 62% between the first and second measurements (<math> \Delta t </math> = 7.5 minutes). This indicated that considering the background to be constant from <math> t_{Beam Off} </math> until <math> t_{Measure} </math>, which was an average of 23.3 <math> \pm </math> 2.67 minutes would not be sufficient. Since this was the case, an exponential fit was attempted on the 1% mixture data to find the half life of the background (even though this is still just an estimate).
 
[[File:LB 170049 Background HLPlot Expo.png|200px]]

Revision as of 21:50, 24 June 2018

Background Analysis

In order to find the SNR at [math]\displaystyle{ t_{Beam Off} }[/math], the background was analyzed to check if it remained constant from [math]\displaystyle{ t_{Beam Off} }[/math] until [math]\displaystyle{ t_{Measure} }[/math]. First, the background was plotted for each concentration of Se/Soil and was overlaid with the the background in the pure sample for each respective target.

The clearest exponential behavior is seen in the 1% sample. The background rate dropped by 62% between the first and second measurements ([math]\displaystyle{ \Delta t }[/math] = 7.5 minutes). This indicated that considering the background to be constant from [math]\displaystyle{ t_{Beam Off} }[/math] until [math]\displaystyle{ t_{Measure} }[/math], which was an average of 23.3 [math]\displaystyle{ \pm }[/math] 2.67 minutes would not be sufficient. Since this was the case, an exponential fit was attempted on the 1% mixture data to find the half life of the background (even though this is still just an estimate).