this is for holding javascript data
William P. Gammel added We_expect_the_transmission_data__.tex
over 8 years ago
Commit id: c6d9a95300419d3bf915e189d9cb1729920613f8
deletions | additions
diff --git a/We_expect_the_transmission_data__.tex b/We_expect_the_transmission_data__.tex
new file mode 100644
index 0000000..06aab70
--- /dev/null
+++ b/We_expect_the_transmission_data__.tex
...
We expect the transmission data to theoretically be a sum of multiple Lorentzian functions. With the transitions we measure, we expect to see three hyperfine peaks. However, due to crossovers, we actually see six. Thus we can find the transition frequencies associated with the hyperfine structure of $^{85}Rb$ and $^{87}Rb$ by fitting the raw transmission data to a function comprised of six Lorentzians and an offset. The equation is given by,
\begin{equation}\label{eq1}
T(\omega)=(\frac{\Gamma}{2}^{2})*(\frac{A_{1}}{(\omega-\omega_{1})+\frac{\Gamma}{2}^{2}}
\end{equation}
