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mie_schematic.tex
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mie_schematic.tex
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\documentclass{standalone}
%\pagenumbering{gobble}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% schematic of Mie theory
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{tikz, xcolor}
\usetikzlibrary{decorations.pathmorphing, arrows, snakes, calc}
\begin{document}
% https://tex.stackexchange.com/questions/25678/nicer-wavy-line-with-tikz/25689#25689
\pgfdeclaredecoration{complete sines}{initial}
{
\state{initial}[
width=+0pt,
next state=sine,
persistent precomputation={\pgfmathsetmacro\matchinglength{
\pgfdecoratedinputsegmentlength / int(\pgfdecoratedinputsegmentlength/\pgfdecorationsegmentlength)}
\setlength{\pgfdecorationsegmentlength}{\matchinglength pt}
}] {}
\state{sine}[width=\pgfdecorationsegmentlength]{
\pgfpathsine{\pgfpoint{0.25\pgfdecorationsegmentlength}{0.5\pgfdecorationsegmentamplitude}}
\pgfpathcosine{\pgfpoint{0.25\pgfdecorationsegmentlength}{-0.5\pgfdecorationsegmentamplitude}}
\pgfpathsine{\pgfpoint{0.25\pgfdecorationsegmentlength}{-0.5\pgfdecorationsegmentamplitude}}
\pgfpathcosine{\pgfpoint{0.25\pgfdecorationsegmentlength}{0.5\pgfdecorationsegmentamplitude}}
}
\state{final}{}
}
\begin{tikzpicture}[scale=1.0, font=\sffamily]
% draw photons
\draw[thick, ->, decorate, decoration={snake, post length=4mm, segment length=8mm, amplitude=3mm}] (-5,2.1) -- (5,2.1);
\draw[thick, ->, decorate, decoration={snake, post length=4mm, segment length=8mm, amplitude=3mm}] (-5,-2.1) -- (5,-2.1);
% draw photon through the spherical grain
\draw[thick, ->, decorate, decoration={snake, post length=4mm, segment length=8mm, amplitude=3mm}] (-5,0) -- (0,0);
\draw[thick, ->, decorate, decoration={snake, post length=4mm, segment length=8mm, amplitude=3mm}] (0.1,0) -- (4.7,0);
\fill[gray!30] (0,0) circle (1.75);
\draw[thick, decorate, decoration={complete sines, segment length=5mm, amplitude=5.5mm, post length=0mm}] (-1.75,0) -- (1.75,0);
% draw wavefront
\draw[dotted, thick] (-3.96,2.9) -- (-3.96,-2.9);
%\draw[dotted, thick] plot [smooth] coordinates {(3.35,2.9) (2.75,0.6) (3.5,-2.9)};
\draw[dotted, thick] plot [smooth] coordinates {(4.35,2.9) (4.15,0.0) (4.35,-2.9)};
\end{tikzpicture}
\end{document}