From 357568e1fb77afed9dfa203e62da237bf7ce51b3 Mon Sep 17 00:00:00 2001 From: Blaise Thompson Date: Mon, 9 Apr 2018 00:24:18 -0500 Subject: 2018-04-09 00:24 --- active_correction/chapter.tex | 35 +++++++++++++++++++++++++++++------ 1 file changed, 29 insertions(+), 6 deletions(-) (limited to 'active_correction/chapter.tex') diff --git a/active_correction/chapter.tex b/active_correction/chapter.tex index e40ff9d..d7b6a4e 100644 --- a/active_correction/chapter.tex +++ b/active_correction/chapter.tex @@ -34,12 +34,35 @@ Some of these strategies have already been implemented, others are partially imp others are still just ideas. % I hope to show that active correction is a particularly useful strategy in MR-CMDS. % +[SPECTRAL DELAY PARAGRAPH] + +[POYNTING CORRECTION PARAGRAPH] + +[EXCITATION POWER CORRECTION PARAGRAPH] + +[CHOPPING PARAGRAPH] + +[FIBRILLATION] + \section{Spectral delay correction} % ============================================================ +\begin{figure} + \caption[CAPTION TODO]{ + CAPTION TODO: SPECTRAL DELAY CORRECTION FIGURE + } +\end{figure} + \section{Poynting correction} % ================================================================== +\begin{figure} + \caption[CAPTION TODO]{ + CAPTION TODO: POYNTING CORRECTION FIGURE + } +\end{figure} + \section{Excitation power correction} % ========================================================== +\clearpage \section{Chopping} % ============================================================================= \subsection{Scatter} % --------------------------------------------------------------------------- @@ -225,12 +248,6 @@ number of laser shots. % Taking twice as many laser shots when dual chopping brings the signal to noise to at least as good as the original single chopping. % -Fibrillation is the intentional randomization of excitation phase during an experiment. % -Because the interference term depends on the phase of the excitation field relative to the signal, -averaging over many shots with random phase will cause the interference term to approach zero. % -This is a well known strategy for removing unwanted interference terms \cite{SpectorIvanC2015a, - McClainBrianL2004a}. % - \subsection{Normalization of dual-chopped self-heterodyned signal} %\begin{table}[!htb] @@ -280,4 +297,10 @@ Now, substituting in BRAZARD formalism: \section{Fibrillation} % ========================================================================= +Fibrillation is the intentional randomization of excitation phase during an experiment. % +Because the interference term depends on the phase of the excitation field relative to the signal, +averaging over many shots with random phase will cause the interference term to approach zero. % +This is a well known strategy for removing unwanted interference terms \cite{SpectorIvanC2015a, + McClainBrianL2004a}. % + \section{Conclusions} % ========================================================================== \ No newline at end of file -- cgit v1.2.3