Changeset 48

Timestamp:

Dec 19, 2009, 1:36:27 PM (15 years ago)

Author:

Rick van der Zwet

Message:

Template holder for report

Location:

liacs/nc/laser-pulse-shaping

Files:

• Makefile (modified) (1 diff)
• latex.mk (copied) (copied from liacs/nc/low-correlation/latex.mk ) (1 diff)
• report.tex (copied) (copied from liacs/nc/low-correlation/report.tex ) (2 diffs)

liacs/nc/laser-pulse-shaping/Makefile

@@ +1 @@
+SOURCE=$(patsubst %.m,%.m.tex, $(shell ls *.m))
+
+include latex.mk
+
+foo:
+        echo $(SOURCE)
+
 pso.out: pso.m
         @octave -q pso.m

liacs/nc/laser-pulse-shaping/latex.mk

@@ -56 +56 @@
 .gs.png:
         $(GNUPLOT) $?
+
+%.m.tex: %.m
+        highlight --include-style --linenumbers --no-doc \
+          --latex --input $< --output $@

liacs/nc/laser-pulse-shaping/report.tex

@@ -22 +22 @@
 \floatname{result}{Result}
 
-\input{highlight.sty}
-
-\title{The low-autocorrelation problem\\
+\title{Laser Pulse Shaping problem\\
 \large{Practical Assignments Natural Computing, 2009}}
 \author{Rick van der Zwet\\
@@ -39 +37 @@
 
 \section{Introduction}
-The report is focused on the so-called \emph{low-autocorrelation problem of
-binary sequences}, is subject to actual research and is of big interest for
-industrial applications, e.g. communications and electrical engineering. Its
-description goes as follows.
+The report is focused on the so-called \emph{laser pulse shaping problem}.
+Todays lasers are also used within the range of atoms or mulecule research.
+Using small pulses it is able to align and alter the movement of the atoms. 
 
-\textbf{Feasible Solutions:} Binary Sequences $\vec{y} \in \{-1,+1\}^n$
+The problem lies in the fact the atoms cannot be controlled by any type of
+laser pulse. There are many parameters which could all be set to 'shape' the
+laser pulse the way it can move the atoms.
 
-\textbf{Objective Function:}
+\section{Problem description}
+To determine the best solution a fitness function is needed, which could be
+found in the shape of equation~\ref{eq:fitness}
 \begin{equation}
-f(\vec{y}) = \frac{n^2}{2 \cdot E(\vec{y})} \longrightarrow maximization
+\label{eg:fitness}
+SHG = \int_0^T E^4(t)dt \rightlongarrow maximization
 \end{equation}
 
-\begin{equation}
-E(\vec{y}) = \displaystyle\sum_{k=1}^{n-1} (\sum_{i=1}^{n-k} y_i \cdot y_{i+k})^2
-\end{equation}
 
-\section{Problem description}
 Due to the huge 'exploding' posibilities it is not possible to walk trough the
 whole list of posibities, so we need alternative approches to tackle this