%% $Date: 2012-07-06 17:42:54#$
%% $Revision: 162 $
\index{extinction\_coeff\_dmt}
\algdesc{Extinction Coefficient}
{ %%%%%% Algorithm name %%%%%%
extinction\_coeff\_dmt
}
{ %%%%%% Algorithm summary %%%%%%
Calculates extinction coefficient given a particle size distribution. 
}
{ %%%%%% 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] \\
$Q_e$ & Vector[bins], Optional & Extinction efficiency; default is $Q_e = 2$
}
{ %%%%%% Outputs %%%%%%
$B_e$ & Vector[time] & Extinction coefficient [km$^{-1}$]
}
{ %%%%%% Formula %%%%%%
\begin{displaymath}
 B_e = \frac{\pi}{4} \sum \limits_{i=1}^m Q_e 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} 
}


