Ewan D. Barr edited scattering part4.tex  over 8 years ago

Commit id: 6ed24b98cae4f5ac77e7ee297ba5cdd57b28ef13

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\begin{equation}  \label{eqn:limiting_dm_2}  \log_{10}{\rm DM_{\rm limit}}(\nu,t_{\rm res}) = \alpha(\beta + \sqrt{\delta + \gamma(\eta+\kappa\log_{10}{\nu}+\log_{10}{t_{\rm res}})}\\ res}})}  \alpha = 0.4673\\ 0.4673  \beta = -0.154\\ -0.154  \delta = 0.0247\\ 0.0247  \gamma = 4.28\\ 4.28  \eta = 13.46\\ 13.46  \kappa = 3.86\\ 3.86  \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 200-ns and 1.6-$\mu$s timing resolution for SKA1\_Mid and SKA1\_Low bands, respectively.