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Madeline Horn edited subsection_Shot_Noise_The_concept__.tex
over 8 years ago
Commit id: 974236dcc8259c265beb59f4c4647d7e1ebbfe21
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The concept of shot noise was first introduced in 1988 by Walter Schottky who described the noise generated in the form of Poisson Statistics. The Poisson Statistics show that the randomized events of an imbalance of electrons across the resistor are significant and not ignorable. Instead, these fluctuations are measurable and produce the charge of the electron if measured correctly. Schottky's prediction of a fundamental relation between the size of the fluctuations $<\delta i^2(t)>$ in a current of uncorrelated (randomly emitted) electrons of average magnitude $i_{dc}$ is produced by a photo-diode illuminated by a light bulb and the amount of charge $e$ carried by an individual electron in that current:
\begin{equation}
\label{eq:SchottkyPredictionForShotNoise} \label{eq:SchottkyPredictionForShotNoise2}
<\delta i^2(t)> = (2 e) \left(i_{\textrm{dc}} \Delta f \right).
\end{equation}