this is for holding javascript data
Demian Arancibia edited untitled.tex
almost 9 years ago
Commit id: a8958de42812012c2380a04bf9ee4792e6f2dd0b
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index 72c139e..e562f95 100644
--- a/untitled.tex
+++ b/untitled.tex
...
\section{Objectives (Most relevant Array Performance Parameters)}
This section aims to include all the array performance objective that might be influenced by design choices.
\subsection{Minimize Brightness Sensitivity Limit}
Let $\eta_s$ be the system efficiency. If we assume each aperture has the same
system temperature $T_{sys}$, System Equivalent Flux Density $SEFD$, are observing the same bandwidth $\Delta\nu$, during the same correlator accumulation time $\tau_{acc}$, 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{T_{sys}}{\sqrt{2 }}{\frac{SEFD}{\sqrt{2 \Delta \nu \tau_{acc}}}}
\end{equation}
in units of Janskys per synthesized beam area.
\subsubsection{Minimize
System Temperature} SEFD}
\subsubsection{Maximize System Efficiency}
\begin{equation}\label{eq:system_efficiency}
\eta_s = {\frac{1}{\eta_s }}{\frac{T_{sys}}{\sqrt{2 \Delta \nu \tau_{acc}}}}
\end{equation}
\subsection{Minimize Operations Costs}
\subsubsection{Minimize Maintenance Costs}
\subsubsection{Minimize Calibration Costs}
...