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Ewan D. Barr edited scattering part4.tex
over 8 years ago
Commit id: 82940a700360d9d3cdba1d2545bbcd57161f8646
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By rearranging equation \ref{eqn:best_case_scattering} we can determine the maximum DM (DM$_{\rm max}$) for which it is possible to achieve a given timing resolution ($t_{\rm res}$):
\begin{equation}
\log_{10}{\rm DM} =
\frac{-0.154 \frac{1}{2.14}(-0.154 + \sqrt{0.0247 + 4.28(13.46+3.86\log_{10}{\nu}+\log_{10}{t_{\rm
res}})}}{2.14}. res}})}.
\end{equation}
Here $t_{\rm res}$ has units of seconds and $\nu$ has units of GHz. Figure \ref{fig:crossover_dm} shows the limiting DM for 100 ns timing resolution for all SKA observing frequencies.