Complex integration path diagram.
This diagram was made for my homework of Mathematical Physics at Drexel University during my Masters education The homework assignment can be found here at http://physics.drexel.edu/~pgautam/courses/
\begin{tikzpicture}
[
%decoration={
% markings,
% mark=at position 1cm with {\arrow[line width=1pt]{>}},
% mark=at position .3 with {\arrow[line width=1pt]{>}},
% mark=at position .6 with {\arrow[line width=1pt]{>}},
% mark=at position 0.8 with {\arrow[line width=1pt]{>}},
% mark=at position -5mm with {\arrow[line width=1pt]{>}},
%},
on each segment/.style={
decorate,
decoration={
show path construction,
moveto code={},
lineto code={
\path [#1] (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
},
curveto code={
\path [#1] (\tikzinputsegmentfirst) .. controls
(\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb) ..
(\tikzinputsegmentlast);
},
closepath code={
\path [#1]
(\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
},
},
},
mid arrow/.style={
postaction={decorate,
decoration={
markings, mark=at position .5 with {\arrow[#1]{stealth}}
}
}
},
contourline/.style={line width=1.0pt},
axisline/.style={->,line width=0.3pt},
]
\tikzmath{\R=3;\r=0.5;\X=1.1*\R;\Y=1.1*\R;}
\draw [axisline] (-\X,0) -- (\X,0) node [below right] {Re($z$)};
\draw [axisline] (0,1.2*\r) -- (0,-\Y) node[left] {Im($z$)};
\node at (0,0) {$\times$};
%\draw [contourline, postaction=decorate]
\draw [contourline, postaction=={on each segment={mid arrow=red}}]
(\r,0) node [below, font=\scriptsize] {$\epsilon$} --
(\R,0) node [above] {$R$}
arc (0:-180:\R) node [above] {$-R$} --
(-\r,0) node [below, font=\scriptsize] {$-\epsilon$}
arc (180:0:\r);
\node at (\r,1.1*\r) {$\Gamma_{\varepsilon}$};
\node at (1.15*\R*0.7,-1.15*\R*0.7) {$\Gamma_{R}$}; % 0.7 = sin(45) = cos(45)
\end{tikzpicture}