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Characterizing SiPMs
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Revision as of 21:59, 12 February 2008
11 bytes added
,
21:59, 12 February 2008
→Results for Hamamatsu 400 pixel MPPC
Line 205:
Line 205:
* The Gaussian smearing of the individual pixel pulse-height distribution was replaced with the following function that has an asymmetric tail.
* The Gaussian smearing of the individual pixel pulse-height distribution was replaced with the following function that has an asymmetric tail.
{|align="center"
{|align="center"
−
|<math> \frac{}{}f(x;\alpha,\beta,\sigma) </math> ||=|| <math>\beta\frac{\alpha}{2}\,e^{\alpha x+\frac{\alpha^2\sigma^2}{2}}[1-Erf(\frac{x+\alpha\sigma^2}{\sqrt{2}\sigma})] </math>
+
|<math> \frac{}{}f(x;\alpha,\beta,\sigma) </math> ||=|| <math>\beta\frac{\alpha}{2}\,e^{\alpha x+\frac{\alpha^2\sigma^2}{2}}
\left
[1-Erf(\frac{x+\alpha\sigma^2}{\sqrt{2}\sigma})
\right
] </math>
|-
|-
| || ||<math> + \frac{1-\beta}{\sqrt{2\pi}\sigma}\,e^{-\frac{x^2}{2\sigma^2}}
| || ||<math> + \frac{1-\beta}{\sqrt{2\pi}\sigma}\,e^{-\frac{x^2}{2\sigma^2}}
Jonesrt
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