From 2514e7edee8cd66f6bc2e966082168b9663f7450 Mon Sep 17 00:00:00 2001
From: Blaise Thompson <blaise@untzag.com>
Date: Wed, 9 May 2018 16:52:28 -0500
Subject: 2018-05-09 16:52

---
 active_correction/chapter.tex | 16 +++++++++-------
 1 file changed, 9 insertions(+), 7 deletions(-)

(limited to 'active_correction/chapter.tex')

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
-- 
cgit v1.2.3

