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Demian Arancibia edited untitled.tex
almost 9 years ago
Commit id: e16a5ea989c2e8c9cbc556c70ee40c637d0fb9cb
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SEFD = {\frac{T_{sys}}{\frac{\eta_a A}{2k_B}}}
\end{equation}
in units of Janskys where $T_{sys}$ is the system temperature including contributions from receiver noise, feed losses, spillover, atmospheric emission, galactic background and cosmic background, and $k_B = 1.380 \times 10^{-23}$ Joule $K^{-1}$ is the Boltzmann constant (see \cite{sensitivity}).
If we assume N apertures with the same $SEFD$, observing the same bandwidth $\Delta\nu$, during the same integration time $t_{int}$, then the weak-source limit in the sensitivity of a synthesis image of a single polarization is
\begin{equation}\label{eq:sens}
\Delta I_m = {\frac{1}{\eta_s }}{\frac{SEFD}{\sqrt{(N(N-1) \Delta \nu t_{int}}}}
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