File:2SlitInterference.gif
Summary
| Description |
English: Animation of the interference of waves originating from grating slits.
Deutsch: Animation der Überlagerung von Wellen eines Mehrfachspalts/Gitters. |
| Date | |
| Source | Own work |
| Author | And1mu |
Source Code
|
Script to create the animations for different gratings: #!/bin/bash
set -e
DIR="animate"
FILE="tikz.tex"
#for SLOTS in 2 3 4 5 10 20 30 ; do
for SLOTS in 2 3 4 5 10 20 30 ; do
NUM=0
rm ${DIR}/frame???.png
sed -i "s/\\\def\\\lines{.\+}/\\\def\\\lines{$SLOTS}/" tikz.tex
for ANG in $(seq 0 2 358) ; do
echo "Creating frame $NUM for $SLOTS lines ..."
sed -i "s/\\\def\\\PhaseDiff{.\+}/\\\def\\\PhaseDiff{$ANG}/" tikz.tex
pdflatex -shell-escape tikz.tex 1> /dev/null
echo "Convert to png ..."
NUMSTR=$(printf "%03d" $NUM)
convert -shave 3x3 tikz.svg ${DIR}/frame${NUMSTR}.png
NUM=$(($NUM+1))
done
cd $DIR
convert -delay 10 -loop 0 frame*.png ${SLOTS}SlitInterference.gif
cd -
done
The code to create a single frame (tikz.tex): \documentclass[crop,border=3,tikz,convert={outext=.svg,command=\unexpanded{pdf2svg \infile\space\outfile}},multi=false]{standalone}
\usepackage{ifthen}
\usetikzlibrary{math}
\usetikzlibrary{calc,through,shapes}
\pgfkeys{/tikz/savelength/.code 2 args={\global\edef#1{#2}}}
\pgfdeclarelayer{background}
\pgfdeclarelayer{foreground}
\pgfsetlayers{background,main,foreground}
\def\lines{40}
\def\omegat{20}
\def\PhaseDiff{359}
\begin{document}
\begin{tikzpicture}[>=latex]
\tikzmath{\D=\PhaseDiff;}
\draw[gray,->] (0,-4) -- (0,4);
\draw[gray,->] (-4,0) -- (4,0);
\coordinate (A) at (0,0);
\tikzmath{\Amp=5/\lines;}
\coordinate (B) at (\omegat:\Amp);
\foreach \a in {1,...,\lines}{
\draw[ultra thick,->,blue] (A) -- (B);
\coordinate (A) at (B);
\coordinate (F) at (B);
\coordinate (B) at ($ (B)+(\a*\D+\omegat:\Amp) $);
}
\node()[anchor=north east] at (5,5){\LARGE $\delta=\D^\circ$};
\path let \p1=(F), \n1={veclen(\x1,\y1)} in [savelength={\n}{\n1}];
% \node at (2,2){\n};
\ifthenelse{\lengthtest{\n < 8 pt}}{
\draw[ultra thick,red,tips=proper] (0,0) -- (F);
\ifthenelse{\lengthtest{\n < 1 pt}}{
\draw[ultra thick] (0,0) circle (1);
%\node at (-1.5,-1.5){Minimum};
}{}
}{
\draw[ultra thick,red,->,tips=proper] (0,0) -- (F);
}
\begin{pgfonlayer}{background}
\draw[fill=white] (-5.1,-5.1) rectangle (5.1,5.1);
\path[fill=red!30] let \p1=(F), \n1={veclen(\x1,\y1)} in (0,0) circle[radius=\n1];
\end{pgfonlayer}
\end{tikzpicture}
\end{document}
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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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