% 2026, Prof. Dr. Matthias Jung (DL9MJ) % DIPOL \begin{tikzpicture} % Hauptachse \begin{axis}[ name=mainaxis, width=\linewidth, height=0.66*\linewidth, xmode=log, ymode=log, xmin=0.01, xmax=100, ymin=0.01, ymax=1000000, domain=0.01:100, samples=500, clip=false, xlabel={ Distanz, normiert: $\displaystyle x=\frac{d}{\lambda/(2\pi)} $ }, ylabel={ elektrische Feldstärke, normiert: $\lvert E\rvert/E_0$ }, tick label style={ font=\normalsize }, xtick={0.01,0.1,1,10,100}, xticklabels={ {$0{,}01$}, {$0{,}1$}, {$1$}, {$10$}, {$100$} }, grid=both, %axis on top, legend style={ at={(0.98,0.98)}, anchor=north east, fill=white, draw=black, font=\large } ] % Elektrisches Feld: % % |E|/E0 = % sqrt[(1/x^3 - 1/x)^2 + 1/x^4] % \addplot[ DARCorange, very thick ] { sqrt( (1/x^3 - 1/x)^2 + 1/x^4 ) }; % Magnetisches Feld: % % |H|/(E0/Z0) = % sqrt[1/x^4 + 1/x^2] % \addplot[ DARCgreen, very thick ] { sqrt( 1/x^4 + 1/x^2 ) }; % Markierung bei r = lambda/(2 pi), also x=1 \draw[ black, dashed, line width=1pt ] (axis cs:1,0.01) -- (axis cs:1,1000000); \node[ anchor=north west, ] at (axis cs:1.05,200000) { $\displaystyle d=\frac{\lambda}{2\pi}$ }; % Erklärung Nahfeld \node[ anchor=west, fill=white, draw=DARCorange, align=center ] at (axis cs:0.060,70000) { $\displaystyle |E|\sim\frac{1}{d^3}$ }; \node[ anchor=west, fill=white, draw=DARCgreen, align=center ] at (axis cs:0.035,2) { $\displaystyle |H|\sim\frac{1}{d^2}$ }; % Grenze Fernfeld: r = 4 lambda \draw[ black, dashed, line width=1pt ] (axis cs:{8*pi},0.01) -- (axis cs:{8*pi},1000000); \node[ anchor=north west, ] at (axis cs:{8*pi*1.03},200000) { $\displaystyle d=4\lambda$ }; % Erklärung Fernfeld \node[ anchor=center, fill=white, draw=black, align=center ] at (axis cs:25,1) { $\displaystyle |E|,|H|\sim\frac{1}{d}$ }; % Bereiche \node[ anchor=south, font=\scriptsize\bfseries ] at (axis cs:0.1,1300000) {Reaktives Nahfeld}; \node[ anchor=south, font=\scriptsize\bfseries ] at (axis cs:5,1300000) {Strahlendes Nahfeld}; \node[ anchor=south, font=\scriptsize\bfseries ] at (axis cs:50,1300000) {Fernfeld}; \end{axis} % Rechte y-Achse für das normierte H-Feld \begin{axis}[ width=\linewidth, height=0.66*\linewidth, at={(mainaxis.south west)}, anchor=south west, xmode=log, ymode=log, xmin=0.01, xmax=100, ymin=0.01, ymax=1000000, axis x line=none, axis y line*=right, ylabel={ magnetische Feldstärke, normiert: $\lvert H\rvert/(E_0/Z_0)$ }, tick label style={ font=\normalsize }, grid=none ] \end{axis} \end{tikzpicture}