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Ewan D. Barr edited scattering part2.tex
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The scattering timescale can also be expressed in terms of dispersion measure (DM). Here we will use the empirical model of \citet{Bhat_2004}, that relates $\tau_s$ to DM via
\begin{equation}
\label{eq:scat}
\log \tau_s = -6.46 + 0.154
\log_{10} ({\rm DM})+ \log{\rm DM}+ 1.07 (\log{\rm DM})^2 - 3.86 \log{\nu}.
\end{equation}
where $\tau_s$ is the scattering time in ms and $\nu$ is the observing frequency in GHz. The scatter of measured values about this relation ship has a standard deviation of several orders of magnitude. In the remainder of this document we take a conservative approach and assume scattering times 4 orders of magnitude smaller than those suggested by the above relation, i.e. the best-case scattering. As we will see, this approach results in reasonable requirements on the SKA1 pulsar timing instrumentation.
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