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Nathanael A. Fortune edited We_expect_the_transmission_data__.tex
over 8 years ago
Commit id: 16be65a6cfd25310b3b0b0215e8eafce47841e2f
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\end{equation}
Thus the transition frequency of the different peaks should theoretically be given by, $\omega_{1},\cdots,\omega_{6}$. The offset accounts for the background Gaussian distribution, which the Lorentzian functions are superimposed onto.
Where the normal equation for a Lorentzian is,
\begin{equation*}\label{eq2proper}
T(\omega)=left(\frac{\Gamma}{2}^{2}\right)\left(\frac{A}{(\omega-\omega_{0})^{2}+\frac{\Gamma}{2}^{2}}\right)
\end{equation*} More properly formatted:
\begin{eqn*}\label{eq2}
T(\omega)=(\frac{\Gamma}{2}^{2})*(\frac{A}{(\omega-\omega_{0})^{2}+\frac{\Gamma}{2}^{2}})
\end{eqn*}