this is for holding javascript data
Ewan D. Barr edited Scattering times.tex
over 8 years ago
Commit id: 57e5ea2acdd768c688bd269f4dcf0b3a0e7bb3d8
deletions | additions
diff --git a/Scattering times.tex b/Scattering times.tex
index f34b576..303f62c 100644
--- a/Scattering times.tex
+++ b/Scattering times.tex
...
The point at which the scattering timescale exceeds the timescale implied by new versions of SKA1-SYS\_REQ-2961 and SKA1-SYS\_REQ-2962 (see above) ultimately determines the maximum DM for which the SKA1 pulsar timing instrumentation must support phase-coherent dispersion removal. Beyond this DM, the computational cost of coherent dedispersion can be decreased by trading time resolution for frequency resolution.
By rearranging equation \ref{eqn:best_case_scattering} we can determine the limiting DM (DM$_{\rm limit}$) above which it is no longer possible to achieve a given timing resolution ($t_{\rm res}$) due to scattering:
\begin{equation}
\label{eqn:limiting_dm}
\log_{10}{\rm DM_{\rm limit}} = \frac{1}{2.14}(-0.154 + \sqrt{0.0247 + 4.28(13.46+3.86\log_{10}{\nu}+\log_{10}{t_{\rm res}})}.
\end{equation}
Here $t_{\rm res}$ has units of seconds and $\nu$ has units of GHz.