diff options
Diffstat (limited to 'active_correction')
| -rw-r--r-- | active_correction/chapter.tex | 16 |
1 files changed, 9 insertions, 7 deletions
diff --git a/active_correction/chapter.tex b/active_correction/chapter.tex index e996898..1fa4bcc 100644 --- a/active_correction/chapter.tex +++ b/active_correction/chapter.tex @@ -281,12 +281,14 @@ The cross term between scatter and signal is the product of $\Phi_\mathrm{sig}$ \Delta_{2} = \Phi_{\mathrm{sig}} &=& \mathrm{e}^{-\left((\tau_2+\tau_1)\omega\right)} \\
\Delta_{2^\prime} = \Phi_{\mathrm{sig}}\mathrm{e}^{-\tau_{2^\prime}\omega} &=& \mathrm{e}^{-\tau_1\omega}
\end{eqnarray}
-Figure \ref{fig:scatterinterferenceinTrEEcurrent} presents numerical simulations of scatter interference for the current delay parameterization.
+Figure \ref{fig:scatterinterferenceinTrEEcurrent} presents numerical simulations of scatter
+interference for the current delay parameterization. %
\subsubsection{Instrumental Removal of Scatter}
The effects of scatter can be entirely removed from CMDS signal by combining two relatively
-straight-forward instrumental techniques: \textit{chopping} and \textit{fibrillation}. %
+straight-forward instrumental techniques: \textit{chopping} and \textit{fibrillation}.
+\cite{HeislerIsmaelA2014a} %
Conceptually, chopping removes intensity-level offset terms and fibrillation removes
amplitude-level interference terms. %
Both techniques work by modulating signal and scatter terms differently so that they may be
@@ -334,7 +336,7 @@ D &=& I_\mathrm{2} + I_\mathrm{other} Grouping into difference pairs,
\begin{eqnarray}
A-B &=& -I_\mathrm{1} \\
-C-D &=& I_\mathrm{signal} + I_\mathrm{1}
+C-D &=& I_\mathrm{signal} + I_\mathrm{1}
\end{eqnarray}
So:
\begin{equation} \label{eq:dual_chopping}
@@ -346,12 +348,12 @@ Interference between signal and an excitation beam will only appear in `C'-type not be removed in Equation \ref{eq:dual_chopping}. %
To remove such interference terms, you must \textit{fibrillate} your excitation fields.
-An alternative to dual chopping is single-chopping and `leveling'... %
-this technique was used prior to May 2016 in the Wright Group... %
-`leveling' and single-chopping is also used in some early 2DES work...
+An alternative to dual chopping is single-chopping and `leveling'. %
+This technique was used prior to May 2016 in the Wright Group. %
+`Leveling' and single-chopping is also used in some early 2DES work. %
\cite{BrixnerTobias2004a}. %
-\begin{figure}
+\begin{figure}
\includegraphics[scale=0.5]{"active_correction/scatter/TA chopping comparison"}
\caption[Comparison of single, dual chopping.]{Comparison of single and dual chopping in a
MoS\textsubscript{2} transient absorption experiment. Note that this data has not been
|