%% $Date: 2012-07-06 17:42:54#$
%% $Revision: 148 $
\index{surface\_area\_conc\_dmt}
\algdesc{Surface Area Concentration}
{ %%%%%% Algorithm name %%%%%%
surface\_area\_conc\_dmt
}
{ %%%%%% Algorithm summary %%%%%%
Calculation of surface area concentration given size distribution from particle probe.
}
{ %%%%%% Category %%%%%%
Microphysics
}
{ %%%%%% Inputs %%%%%%
$c_i$ & Array[time, bins] & Number concentration of hydrometeors in size category $i$ [cm$^{-3}$] \\
$d_i$ & Vector[bins] & Average diameter of size category $i$ [$\mu$m] \\
$s_i$ & Array[time, bins] & Shape factor of hydrometeor in size category $i$, to account for asphericity
}
{ %%%%%% Outputs %%%%%%
$S$ & Vector[time] & Surface area concentration [$\mu$m$^2$ cm$^{-3}$]
}
{ %%%%%% Formula %%%%%%
\begin{displaymath}
  S = \pi \sum\limits_{i=1}^m s_i c_i d_i^2
\end{displaymath}

}
{ %%%%%% Author %%%%%%

}
{ %%%%%% References %%%%%% 
    ``Data Analysis User's Guide Chapter I: Single Particle Light Scattering,`` Droplet Measurement Technologies, 30. \cite{DMT1}
}


