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Maxwell Fishman edited section_Resonant_Tunneling_Diode.tex
over 8 years ago
Commit id: 4d2603c4cd7d072e9a16b5fb8938e6bbfb80b658
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Using the WKB approximation, one can determine an analytical expression for the transmission probability. For double barrier systems, the WKB method is known to lack accuracy, but the relative simplicity of this method make it useful for coarse analysis. Using the WKB approximation, a general expression for the transmission coefficient of a double barrier system can be found.
\begin{equation}
T_{tot}(E) =
\frac{T_1T_2}{(1-\sqrt{R_1R_2})^2+4\sqrt{R_1R_2}*cos^2(\Phi)} \frac{T_1T_2}{(1-\sqrt{R_1R_2})^2+4\sqrt{R_1R_2}cos^2(\Phi)}
\end{equation}