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| -rw-r--r-- | active_correction/chapter.tex | 42 | 
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| diff --git a/active_correction/chapter.tex b/active_correction/chapter.tex index 6e773ec..f4447d0 100644 --- a/active_correction/chapter.tex +++ b/active_correction/chapter.tex @@ -44,8 +44,50 @@ I hope to show that active correction is a particularly useful strategy in MR-CM  [FIBRILLATION]
 +\clearpage
  \section{Spectral delay correction}  % ============================================================
 +As a frequency domain technique, MR-CMDS requires automated tuning of multiple OPAs.  %
 +These OPAs generate pulses, which are then manipulated and directed into a sample of interest.  %
 +Crucially, the relative arrival time of each pulse must be carefully controlled in the context of
 +the MR-CMDS experiment.  %
 +Unfortunately, changing the output frequency also changes the optical path length, meaning that
 +there is some unavoidable coupling between delay and frequency axes.  %
 +Because we have full control over delay through delay stages, we can correct for this phenomenon by
 +choosing a different zero delay \emph{offset} for each OPA output color.  %
 +This strategy has been dubbed ``spectral delay correction''.  %
 +
 +Spectral delay correction (SDC) is certainly the longest running active correction strategy employed
 +within the Wright Group.  %
 +SDC was first implemented by Schuyler Kain within his COLORS acquisition software. [CITE]  %
 +COLORS' implementation was hardcoded for one particular OPA / delay configuration---it wasn't until
 +PyCMDS that fully arbitrary SDC became possible through the autonomic system (see section ...).  %
 +Erin Boyle ``backported'' similar functionality into to ps\_control, although her implementation
 +allowed only for a simple, first order linear correction.  %
 +
 +Sometimes, spectral delay can be corrected for after-the-fact.  %
 +Post processed spectral delay correction can only be done if all relevant delays are scanned during
 +the experiment.  %
 +A common example is transient absorption, where the single delay axis is typically scanned at each
 +color coordinate.  %
 +A special method of \python{Data}, \python{Data.offset} is designed to do the necessary
 +interpolation for \emph{post hoc} SDC.  %
 +
 +In many experiments spectral delay must be actively corrected for.  %
 +Fully coherent experiments do 
 +
 +It has been found that SDC is necessary for each individual scanned OPA, and for each separate path
 +when pulses from a single OPA are split.  %
 +The difference between different paths is typically small, but enough to move pulses a noticeable
 +amount relative to each-other.  %
 +For this reason, SDC for split OPAs is a multidimensional problem, which in principle requires a
 +multi-dimensional acquisition to fully record.  %
 +In practice, however, these corrections are recorded iteravely.  %
 +
 +[ALTHOUGH ACTIVE, CAN SOMETIMES BE CORRECTED FOR IN POST: SEE WRIGHTTOOLS.OFFSET]
 +
 +[SDC IN CONTEXT OF WHITE LIGHT]
 +
  \begin{figure}
  	\includegraphics[width=0.45\textwidth]{"active_correction/sdc_before"}
   	\includegraphics[width=0.45\textwidth]{"active_correction/sdc_after"}
 | 
