Konturintegraldiagramm

Aug 29 2020

Ab sofort habe ich den folgenden Code (dank @ AndréC), aber ich hatte gehofft, auch einen zusätzlichen Halbkreis aufzunehmen, der im handgezeichneten Bild zu sehen ist. Es tut mir leid, ich bin noch nicht so gut mit Tikz. Vielen Dank! Hier ist der Code:

\documentclass[border=5mm]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc,decorations.markings,positioning}
\begin{document}
        \begin{tikzpicture}
        %configurable parameters
        \def\gap{0.4}
        \def\bigradius{4}
        \def\littleradius{1}
        %axes
        \draw[line width=2pt,->](-1.5*\bigradius,0) -- (1.5*\bigradius,0)
        (0,-1.5*\bigradius) -- (0,1.5*\bigradius);
        \draw[line width=2pt,->] (0,0)--(45:\littleradius);
        \draw[line width=2pt,->](0,0) -- (135:\bigradius); \node[above
        right] at (45:\littleradius/1.5) {\large\bf{$\varepsilon$}};
        \draw[line width=1pt,decoration={markings,
            mark=at position 0.07 with{\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.17 with{\arrow[line width =2pt]{>}},
            mark=at position 0.27 with{\arrow[line width =2pt]{>}},
            mark=at position 0.35 with {\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.47 with{\arrow[line width =2pt]{>}},
            mark=at position 0.53 with{\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.6 with {\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.65 with {\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.7 with{\arrow[line width =2pt]{>}},
            mark=at position 0.8 with{\arrow[line width =2pt]{>}},
            mark=at position 0.85 with{\arrow[line width =2pt]{>}},
            mark=at position 0.955 with{\arrow[line width =2pt]{>}}},%{latex}}},
        postaction={decorate}]
        let
        \n1={asin(\gap/2/\bigradius)},
        \n2={asin(\gap/2/\littleradius)}
        in (180-\n1:\bigradius) -- (-180-\n2:\littleradius)
        arc(180-\n2:-180+\n2:\littleradius)--(-180+\n1:\bigradius)
        arc(-180+\n1:-45:\bigradius)--(45:\bigradius)arc(45:(180-\n1):\bigradius);
        \coordinate (T) at (135:2);
         \node[above] at (T){$T$}; 
        \coordinate (H) at (1.5*\bigradius,0);
         \node[below] at (H){\Large\bf {x}};
        \coordinate (J) at (0,1.5*\bigradius);
         \node[left] at (J){$\Large\bf y$}; 
        \coordinate (C) at (\littleradius,0);
         \node[below right] at (C) {\Large\bf {C}};
        \coordinate (D) at ({180-asin(\gap/2/\littleradius)}:1);            \node[above left] at (D) {$ \Large\bf B$}; 
        \coordinate (E) at ({-180+asin(\gap/2/\littleradius)}:1);           \node[below left] at (E) {$\Large\bf D$}; 
        \coordinate (F) at ({180-asin(\gap/2/\bigradius)}:\bigradius); 
        \node[above left] at (F) {$\Large\bf A$}; 
        \coordinate (G) at ({-180+asin(\gap/2/\bigradius)}:\bigradius); 
        \node[below left] at (G) {$\Large\bf E$}; 
        \coordinate (P) at (0,-4);
        
         \node[below right] at (P) {$\Large\bf F$};
         \coordinate(Q) at (3,-4);
        \node[right] at (Q) {$\Large\bf G(\gamma-iT)$}; 
        \coordinate (R) at (3,4); 
        \node[right] at (R) {$\Large\bf H(\gamma+iT)$}; 
        \coordinate (S) at (0,4);
        \node[above right] at (S) {$\Large\bf K$};
        \end{tikzpicture}
\end{document}

und hoffte, dass der zusätzliche Halbkreis links vom kleineren Kreis in der Mitte zu sehen ist:

BEARBEITEN: Ich habe Folgendes hinzugefügt, das zu meinem leicht bearbeiteten Diagramm passt:

        \draw[thick, line width=   0.63pt] (-.9,.25) +(180:.3) arc (0:180:.3);
        \draw[thick, line width=   0.63pt] (-.9,-.25) +(-180:.3) arc (0:-180:.3);

Wie entferne ich die Linien unter den kleinen Kreisen? Ich möchte einen Halbkreis, der keinen Boden hat, wie der auf dem handgezeichneten Bild. Gibt es eine Möglichkeit, dies mit diesem Code zu tun?

Antworten

3 AndréC Aug 30 2020 at 19:01

\documentclass[border=5mm]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc,decorations.markings,positioning}
\begin{document}
        \begin{tikzpicture}
        %configurable parameters
        \def\gap{0.4}
        \def\bigradius{4}
        \def\littleradius{1}
        \def\tinyradius{.5}%<-- new radius for the new semi-circle
        %axes
        \draw[line width=2pt,->](-1.5*\bigradius,0) -- (1.5*\bigradius,0)
        (0,-1.5*\bigradius) -- (0,1.5*\bigradius);
        \draw[line width=2pt,->] (0,0)--(45:\littleradius);
        \draw[line width=2pt,->](0,0) -- (135:\bigradius); \node[above
        right] at (45:\littleradius/1.5) {\large\bf{$\varepsilon$}};
        \draw[line width=1pt,decoration={markings,
            mark=at position 0.065 with{\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.17 with{\arrow[line width =2pt]{>}},
            mark=at position 0.29 with{\arrow[line width =2pt]{>}},
            mark=at position 0.35 with {\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.47 with{\arrow[line width =2pt]{>}},
            mark=at position 0.53 with{\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.6 with {\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.65 with {\arrow[line width =2pt]{>}},%{latex}},
            mark=at position 0.7 with{\arrow[line width =2pt]{>}},
            mark=at position 0.8 with{\arrow[line width =2pt]{>}},
            mark=at position 0.85 with{\arrow[line width =2pt]{>}},
            mark=at position 0.955 with{\arrow[line width =2pt]{>}}},%{latex}}},
        postaction={decorate}]
        let
        \n1={asin(\gap/2/\bigradius)},
        \n2={asin(\gap/2/\littleradius)}
        in (180-\n1:\bigradius) --($(180-\n1:\bigradius)!.5! (-180-\n2:\littleradius)$)arc(180:0:\tinyradius)-- (-180-\n2:\littleradius)
        arc(180-\n2:-180+\n2:\littleradius)--($(-180+\n2:\littleradius)!.5!(-180+\n1:\bigradius)!2*\tinyradius cm!(-180+\n2:\littleradius)$)arc(0:-180:\tinyradius)--(-180+\n1:\bigradius)
        arc(-180+\n1:-45:\bigradius)--(45:\bigradius)arc(45:(180-\n1):\bigradius);
        \coordinate (T) at (135:2);
         \node[above] at (T){$T$}; 
        \coordinate (H) at (1.5*\bigradius,0);
         \node[below] at (H){\Large\bf {x}};
        \coordinate (J) at (0,1.5*\bigradius);
         \node[left] at (J){$\Large\bf y$}; 
        \coordinate (C) at (\littleradius,0);
         \node[below right] at (C) {\Large\bf {C}};
        \coordinate (D) at ({180-asin(\gap/2/\littleradius)}:1);            \node[above left] at (D) {$ \Large\bf B$}; 
        \coordinate (E) at ({-180+asin(\gap/2/\littleradius)}:1);           \node[below left] at (E) {$\Large\bf D$}; 
        \coordinate (F) at ({180-asin(\gap/2/\bigradius)}:\bigradius); 
        \node[above left] at (F) {$\Large\bf A$}; 
        \coordinate (G) at ({-180+asin(\gap/2/\bigradius)}:\bigradius); 
        \node[below left] at (G) {$\Large\bf E$}; 
        \coordinate (P) at (0,-4);
        
         \node[below right] at (P) {$\Large\bf F$};
         \coordinate(Q) at (3,-4);
        \node[right] at (Q) {$\Large\bf G(\gamma-iT)$}; 
        \coordinate (R) at (3,4); 
        \node[right] at (R) {$\Large\bf H(\gamma+iT)$}; 
        \coordinate (S) at (0,4);
        \node[above right] at (S) {$\Large\bf K$};
        \end{tikzpicture}
\end{document}