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\begin{document}

\title{UVIS Calibration Notes}



\author[1]{K.-Michael Aye}%
\affil[1]{University of Colorado, Boulder}%


\vspace{-1em}



  
  \date{June 14, 2024}


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\begin{equation}
\label{eq:general}
L(\lambda_j)=\frac{\left[C(\lambda_j)\cdot N(C)-D(j)-B(j)-S'_l(\lambda_j)\right]/\Delta t}{A\cdot\Delta\lambda\cdot R_c(\lambda_j)\cdot FF_j\cdot\bar{\Omega}\cdot(1-S_l)}
\end{equation}

Equation \ref{eq:general} is the generalized form for the UVIS conversion of detector counts to radiance.
It can be rewritten by combining the instrument calibration terms:

\begin{equation}
L'(\lambda_j)=\left[C(\lambda_j)\cdot FF_j^{-1}\cdot N(C)-D(j)-B(j)\right]\cdot Cal(\lambda_j)/\Delta t
\end{equation}
$L'$ is the radiance with no scattered light correction.
We supply curves, which describe the magnitude of the scattered light, but do not remove it from the data.

\begin{enumerate}
\item $Cal(\lambda_j)$ and $FF^{-1}$ are the calibration matrix (obtained using the 
Get$\ldots$Lab\_Calibration.pro) and flatfield matrix.
\item $N$ is the detector dead time correction, applied as a multiplicative factor to all pixels.
It is calculated from the instantaneous total count rate from the detector and the electronic dead time of $\tau$=\SI{1e-5}{\seconds}.
\item $D$ and $B$ are the dark count and background corrections and must be estimated by examining individual spectra.
Typically the observed source has no emission in some spectral or spatial region and counts observed at those wavelengths result from backgrounds and scattered light.
\end{enumerate}

\SI{1e-5}{s}

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