this is for holding javascript data
Emily A Kaplan edited We_next_analyze_our_time__.tex
over 8 years ago
Commit id: a4ddcb5f0e8c528c6f05b471dfa9232b6a8c0cdb
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\end{equation}
Thus the plot of $\frac{\delta t}{\delta \omega}$ versus ratio number should look like a horizontal line. From this line we can determine a conversion factor between frequency and time.
We then plot the ratios in a very specific way- they are plotted chronologically as we passed through our frequency scan. Ratio A corresponds to $\frac{t_{2}-t_{1}}{\omega_{2}-\omega_{1}}$, B corresponds to $\frac{t_{3}-t_{2}}{\omega_{3}-\omega_{2}}$, etc, so we have five ratios for our six peaks. By plotting the ratios in this way, any drift or non-linearity in the frequency scan can be inferred by observing the slope of the values of the ratios A, B, C, D, and E when plotted against the order they came in the frequency scan. There is clearly a slope to the ratios, an example of which is seen in Fig~\ref{fig:Ratios}, indicating that our frequency scan was nonlinear.
We could improve it in the future by doing a more time-intensive fit to the frequency scan.