Merge branch 'main' into refactor/dsp

This commit is contained in:
Matthias Jung
2026-08-16 23:09:11 +02:00
committed by GitHub
100 changed files with 4593 additions and 266 deletions
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% Author: Malte, DE7LMS
% Modifier: Dr. Matthias Jung, DL9MJ
% Modified: Kreuz-Yagi / cross yagi
% Year: 2026
\begin{tikzpicture}[
thick,
x={(1cm,0)},
y={(2.6mm,4mm)},
z=({0,1cm}),
line cap=round
]
\def\s{1.5}
\def\gap{0.04}
% styles for the two polarisations
\tikzset{
hpol/.style={black},
vpol/.style={black!55}
}
% helper macros
\def\elementH#1#2{%
\draw[hpol] (-#1,#2*\s,0) -- (#1,#2*\s,0);
}
\def\elementV#1#2{%
\draw[vpol] (0,#2*\s,-#1) -- (0,#2*\s,#1);
}
\def\drivenH#1#2{%
\draw[hpol] (\gap,#2*\s,0) -- (#1,#2*\s,0);
\draw[hpol] (-\gap,#2*\s,0) -- (-#1,#2*\s,0);
}
\def\drivenV#1#2{%
\draw[vpol] (0,#2*\s,\gap) -- (0,#2*\s,#1);
\draw[vpol] (0,#2*\s,-\gap) -- (0,#2*\s,-#1);
}
% cables / feed lines
\path[gray, ultra thick, line cap=butt]
(0.02,2.5*\s,-1.8) edge[out=90,in=-90] (0.05,1*\s,0);
\path[gray!70, ultra thick, line cap=butt]
(-0.02,2.5*\s,-1.8) edge[out=90,in=-90] (0,1*\s,0.05);
% boom
\draw[xshift=-0.9pt] (0,0,0) -- (0,9,0);
\draw[xshift=0.9pt] (0,0,0) -- (0,9,0);
% vertical-polarised system, drawn first / slightly lighter
% reflector
\elementV{1.2}{0}
% driven element
\drivenV{1.0}{1}
% directors
\foreach \d/\y in {0.9/2,0.8/3,0.7/4,0.6/5,0.5/6} {
\elementV{\d}{\y}
}
% horizontal-polarised system
% reflector
\elementH{1.2}{0}
% driven element
\drivenH{1.0}{1}
% directors
\foreach \d/\y in {0.9/2,0.8/3,0.7/4,0.6/5,0.5/6} {
\elementH{\d}{\y}
}
% pole
\draw[rounded corners=.5mm, fill=white]
(0,2.5*\s,-2.5) -- ++(0,0,3) -- ++(.1,0,0) -- ++(0,0,-3);
\end{tikzpicture}
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% DL9MJ, Matthias Jung, 2026
\begin{tikzpicture}
% Parameter
\pgfmathsetmacro{\f}{1.4} % Brennweite des Mutter-Paraboloids
\pgfmathsetmacro{\ap}{2.4} % halbe Apertur
\pgfmathsetmacro{\ymin}{0.75} % unterer Rand des Offset-Ausschnitts
\pgfmathsetmacro{\ymax}{2.55} % oberer Rand des Offset-Ausschnitts
\pgfmathsetmacro{\xend}{5.2} % Ende der reflektierten Strahlen
% Brennpunkt des Mutter-Paraboloids
\coordinate (F) at (\f,0);
% ------------------------------------------------------------
% Mutter-Paraboloid nur angedeutet
% ------------------------------------------------------------
\draw[gray!45, dashed, thick]
plot[
variable=\t,
domain=-2.6:2.6,
samples=120,
smooth
]
({\t*\t/(4*\f)},{\t});
% Achse des Mutter-Paraboloids
\draw[gray!45, dashed, thick] (-0.15,0) -- (\xend,0);
% ------------------------------------------------------------
% Offsetspiegel: nur ein seitlicher Ausschnitt
% ------------------------------------------------------------
\draw[ultra thick]
plot[
variable=\t,
domain=\ymin:\ymax,
samples=100,
smooth
]
({\t*\t/(4*\f)},{\t});
% Unterer Punkt des Offsetspiegels
\coordinate (Mlow) at ({\ymin*\ymin/(4*\f)}, {\ymin});
% ------------------------------------------------------------
% Feed / Erregerantenne im Brennpunkt
% ------------------------------------------------------------
\draw({(-\ap)*(-\ap)/(4*\f)},{-\ap}) coordinate(end);
% Feed / Antenne im Brennpunkt
\node[bareantenna, scale=1.0, anchor=west] (ant) at (F) {};
\draw(end) to [open] ++(2,0) node[trxshape, scale=1, anchor=west](trx){};
% Anschlussleitung und TRX
\draw (ant)
-- ++(0,-1.2) coordinate(h)
-| (trx.north);
% ------------------------------------------------------------
% Strahlen vom Feed zum Offsetspiegel und danach parallel
% ------------------------------------------------------------
\foreach \yy in {0.85,1.20,1.55,1.90,2.25,2.50} {
\pgfmathsetmacro{\xx}{\yy*\yy/(4*\f)}
% vom Brennpunkt zum Spiegel
\draw[DARCred, thick]
(F) -- (\xx,\yy);
% reflektierter Strahl parallel zur Achse
\draw[DARCred, thick]
(\xx,\yy) -- (\xend,\yy);
}
\end{tikzpicture}
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\begin{tikzpicture}
% Hornöffnung
\draw[thick]
(6.179,5.235) --
(10.460,7.211) --
(10.454,2.016) --
(6.173,0.040) --
cycle;
% Hohlleiter / Übergang
\draw[thick]
(2.674,4.455) --
(2.666,5.375) --
(4.158,6.059);
\draw[thick]
(0.048,5.324) --
(0.040,6.244) --
(1.532,6.928);
% obere Kanten
\draw[thick]
(1.519,6.915) --
(4.145,6.056) --
(10.449,7.208);
% untere Hornkante
\draw[thick]
(6.159,4.176) --
(10.449,2.016);
% mittlere Hohlleiter- und Hornkante
\draw[thick]
(0.034,6.238) --
(2.670,5.380) --
(6.176,5.248);
% untere Kante
\draw[thick]
(0.044,5.329) --
(2.670,4.460) --
(6.166,0.046);
\end{tikzpicture}
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% Author: Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{tikzpicture}
% Yagi:
\draw[very thick, DARCred] plot[
variable=\t,
domain=0:360,
smooth,samples=101
]
({180+60*sin(\t)}:{0.75*pow(sin(\t/2),9)});
\draw[very thick, DARCred] plot[
variable=\t,
domain=0:360,
smooth,samples=101
]
({35*sin(\t)}:{7*pow(0.95*sin(\t/2),5)});
% Dipole:
\draw[thick] plot[
variable=\t,
domain=0:360,
smooth,samples=101
]
({180+90*sin(\t)}:{3*pow(sin(\t/2),9)});
\draw[thick] plot[
variable=\t,
domain=0:360,
smooth,samples=101
]
({90*sin(\t)}:{3*pow(sin(\t/2),9)});
\draw (-3.500, 0) -- ( 6.000, 0.0);
% Label:
\draw[DARCred] (5,-1.8) node[]{Richtantenne};
\draw[black] (-2.5,+1.8) node[]{Dipol};
% Bemaßung
\draw(-0.755,2.5) coordinate(s1);
\draw(0,2.5) coordinate(e1);
\DARCmeasure[DARCred][top]{s1}{e1}{0,0}{0}{$P_\text{R}$}
\draw[ultra thin](start) -- (start|-0,0);
\draw[ultra thin](end) -- (end|-0,0);
\draw(-0.755,2.5) coordinate(s1);
\draw(5.42,2.5) coordinate(e2);
\DARCmeasure[DARCred]{e1}{e2}{0,0}{0}{$P_\text{V}$}
\draw[ultra thin](end) -- (end|-0,0);
\draw(0,-2.5) coordinate(s2);
\draw(3,-2.5) coordinate(e3);
\DARCmeasure{s2}{e3}{0,0}{0}{$P_\text{D}$}
\draw[ultra thin](end) -- (end|-0,0);
\draw(-3,-2.5) coordinate(e4);
\DARCmeasure{e4}{s2}{0,0}{0}{$P_\mathrm{D}$}
\draw[ultra thin](start) -- (start|-0,0);
\draw[ultra thin](end) -- (end|-0,0);
\end{tikzpicture}
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After

Width:  |  Height:  |  Size: 15 KiB

+57
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@@ -0,0 +1,57 @@
% Author: Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{tikzpicture}
\draw[ultra thick] (0,+0) -- ++(8,0) coordinate(e1);
\draw[ultra thick] (0,-2) -- ++(8,0) coordinate(e2);
\draw(e1) to [european resistor, l_=$R_\mathrm{L}$, *-*] (e2);
\draw(0,0) to [sinusoidal current source, *-*] ++(0,-2);
% Current Bottom:
\draw[DARCred] (0,-2)
sin ++(+1,+0.5) coordinate(t1)
cos ++(+1,-0.5)
sin ++(+1,-0.5)
cos ++(+1,+0.5)
sin ++(+1,+0.5)
cos ++(+1,-0.5)
sin ++(+1,-0.5)
cos ++(+1,+0.5);
% Voltage Bottom:
\draw[DARCblue] (0,-2)
sin ++(+1,+0.75)
cos ++(+1,-0.75)
sin ++(+1,-0.75)
cos ++(+1,+0.75)
sin ++(+1,+0.75) coordinate(t2)
cos ++(+1,-0.75)
sin ++(+1,-0.75)
cos ++(+1,+0.75);
% Current Top:
\draw[DARCred] (0,+0)
sin ++(+1,-0.5)
cos ++(+1,+0.5)
sin ++(+1,+0.5)
cos ++(+1,-0.5)
sin ++(+1,-0.5)
cos ++(+1,+0.5)
sin ++(+1,+0.5)
cos ++(+1,-0.5);
% Voltage Top:
\draw[DARCblue] (0,+0)
sin ++(+1,-0.75)
cos ++(+1,+0.75)
sin ++(+1,+0.75)
cos ++(+1,-0.75)
sin ++(+1,-0.75)
cos ++(+1,+0.75)
sin ++(+1,+0.75)
cos ++(+1,-0.75);
\draw[DARCred](t1) -- ++(0.5,0.5) node[right] {$I$};
\draw[DARCblue](t2) -- ++(0.5,0.5) node[right] {$U$};
\end{tikzpicture}
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After

Width:  |  Height:  |  Size: 19 KiB

+21
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@@ -0,0 +1,21 @@
% Author: Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{tikzpicture}
\draw(0,+0)
to [american inductor, l={$L'$}, o-] ++(2,0) coordinate(x1)
to [american inductor, l={$L'$}] ++(2,0) coordinate(x2)
to [open] ++(2,0) coordinate(x3)
to [american inductor, l={$L'$}] ++(2,0) coordinate(x4)
to [short, -o] ++(1,0);
\draw(0,-2)
to [short, o-] ++(2,0) coordinate(y1)
to [short] ++(2,0) coordinate(y2)
to [open] ++(2,0) coordinate(y3)
to [short] ++(2,0) coordinate(y4)
to [short, -o] ++(1,0);
\draw[dashed](x2) -- (x3);
\draw[dashed](y2) -- (y3);
\draw(x1) to [C, l={$C'$}, *-*] (y1);
\draw(x2) to [C, l={$C'$}, *-*] (y2);
\draw(x4) to [C, l={$C'$}, *-*] (y4);
\end{tikzpicture}
+128
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@@ -0,0 +1,128 @@
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After

Width:  |  Height:  |  Size: 26 KiB

+60
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@@ -0,0 +1,60 @@
% Author: Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{tikzpicture}
\draw(0,0)
to [short, o-] ++ (1,0) coordinate(x1)
coordinate(h1);
\draw[DARCgreen](h1)
to [american inductor, name={L1}, inductors/width=2.0, inductors/coils=8] ++ (2,0) coordinate(h2);
\draw(h2)
to [short, -o] ++ (1,0)
to [open,-o] ++(0,-1) node[rground] {};
\draw(0,0)
to [open,-o, name={h3}] ++(0,-1) node[rground] {};
\draw[DARCgreen](x1)
to [open] ++(0,-1) coordinate(ll1)
to [american inductor, draw=DARCgreen, name={L2}, inductors/width=2.0, inductors/coils=8, v={$U_\mathrm{I}$}] ++ (2,0)
coordinate(ll2);
\draw[DARCorange](L1.south west)
to [open] ++(0,-0.2)
to [C] ++(0,-0.5)
to [open] (L2.north west);
\draw[DARCorange](L1.south)
to [open] ++(0,-0.2)
to [C] ++(0,-0.5)
to [open] (L2.north);
\draw[DARCorange](L1.south east)
to [open] ++(0,-0.2)
to [C] ++(0,-0.5)
to [open] (L2.north east);
\draw(L2.south)
to [open, -o] ++(0,-2)
node [rground](gnd){};
\draw(ll1)
to [short, -o] ++(0,-0.5) coordinate(left);
\draw(ll2)
to [short, -o] ++(0,-0.5) coordinate(right);
\draw(left)
to [open] ++(-0.125,0) coordinate(left1);
\draw(left)
to [open] ++(+0.125,0) coordinate(left2);
\draw(right)
to [open] ++(-0.125,0) coordinate(right1);
\draw(right)
to [open] ++(+0.125,0) coordinate(right2);
\draw(gnd)
to [open] ++(-0.125,0) coordinate(gnd1);
\draw(gnd)
to [open] ++(+0.125,0) coordinate(gnd2);
%
\draw[DARCorange](left1)
to [open, v={$U_\mathrm{C}$}, draw=DARCorange] (gnd1);
\draw[DARCorange](right2)
to [open, v^={$U_\mathrm{C}$}, draw=DARCorange] (gnd2);
\draw[DARCgreen](left2)
to [open, draw=DARCgreen, v^={$\frac{U_\mathrm{I}}{2}$}] (gnd2);
\draw[DARCgreen](gnd1)
to [open, draw=DARCgreen, v^={$\frac{U_\mathrm{I}}{2}$}] (right1);
%
\draw[ultra thick, -Triangle, DARCred] (h3.center) -- ++(0.75,0);
\end{tikzpicture}
+128
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@@ -0,0 +1,128 @@
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After

Width:  |  Height:  |  Size: 26 KiB

+60
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@@ -0,0 +1,60 @@
% Author: Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{tikzpicture}
\draw(0,0)
to [short, o-] ++ (1,0) coordinate(x1)
coordinate(h1);
\draw[DARCgreen](h1)
to [american inductor, name={L1}, inductors/width=2.0, inductors/coils=8] ++ (2,0) coordinate(h2);
\draw(h2)
to [short, -o] ++ (1,0)
to [open,-o, name={h3}] ++(0,-1) node[rground] {};
\draw(0,0)
to [open,-o] ++(0,-1) node[rground] {};
\draw[DARCgreen](x1)
to [open] ++(0,-1) coordinate(ll1)
to [american inductor, draw=DARCgreen, name={L2}, inductors/width=2.0, inductors/coils=8, v<={$U_\mathrm{I}$}] ++ (2,0)
coordinate(ll2);
\draw[DARCorange](L1.south west)
to [open] ++(0,-0.2)
to [C] ++(0,-0.5)
to [open] (L2.north west);
\draw[DARCorange](L1.south)
to [open] ++(0,-0.2)
to [C] ++(0,-0.5)
to [open] (L2.north);
\draw[DARCorange](L1.south east)
to [open] ++(0,-0.2)
to [C] ++(0,-0.5)
to [open] (L2.north east);
\draw(L2.south)
to [open, -o] ++(0,-2)
node [rground](gnd){};
\draw(ll1)
to [short, -o] ++(0,-0.5) coordinate(left);
\draw(ll2)
to [short, -o] ++(0,-0.5) coordinate(right);
\draw(left)
to [open] ++(-0.125,0) coordinate(left1);
\draw(left)
to [open] ++(+0.125,0) coordinate(left2);
\draw(right)
to [open] ++(-0.125,0) coordinate(right1);
\draw(right)
to [open] ++(+0.125,0) coordinate(right2);
\draw(gnd)
to [open] ++(-0.125,0) coordinate(gnd1);
\draw(gnd)
to [open] ++(+0.125,0) coordinate(gnd2);
%
\draw[DARCorange](left1)
to [open, v={$U_\mathrm{C}$}, draw=DARCorange] (gnd1);
\draw[DARCorange](right2)
to [open, v^={$U_\mathrm{C}$}, draw=DARCorange] (gnd2);
\draw[DARCgreen](left2)
to [open, draw=DARCgreen, v^<={$\frac{U_\mathrm{I}}{2}$}] (gnd2);
\draw[DARCgreen](gnd1)
to [open, draw=DARCgreen, v^<={$\frac{U_\mathrm{I}}{2}$}] (right1);
%
\draw[ultra thick, -Triangle, DARCred] (h3.center) -- ++(-0.75,0);
\end{tikzpicture}
+223
View File
@@ -0,0 +1,223 @@
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After

Width:  |  Height:  |  Size: 33 KiB

+61
View File
@@ -0,0 +1,61 @@
% 2026 Prof. Dr. Matthias Jung (DL9MJ)
\begin{tikzpicture}
\draw(0,0) coordinate(start)
to [sinusoidal voltage source] (0,2)
to [short] ++(1,0)
to [short, -o] ++(0,-0.5) coordinate(l1);
\draw(start)
to [short] ++(1,0)
to [short, -o] ++(0,+0.5) coordinate(l2);
%
\draw[very thick](l1) to [short, o-o] ++(5,0) coordinate(l3);
\draw[very thick](l2) to [short, o-o] ++(5,0) coordinate(l4);
%
\draw[short, DARCgreen] (l3) to [short, l_={$R_\mathrm{a}=0$}] (l4);
%
\draw(l1) to [open] ++(0,-2.5) coordinate(s1);
%
\draw[-Triangle] (s1) -- ++(5.5,0);
%
\def\x{0.5}
%
\draw[DARCred] (s1)
sin ++(+1,+1*\x) coordinate(sinus)
cos ++(+1,-1*\x)
sin ++(+1,-1*\x)
cos ++(+1,+1*\x)
sin ++(+1,+1*\x)
;
\draw[DARCblue] (s1) ++(0,-1*\x)
cos ++(+1,+1*\x)
sin ++(+1,+1*\x) coordinate(cosius)
cos ++(+1,-1*\x)
sin ++(+1,-1*\x)
cos ++(+1,+1*\x)
;
%
\draw[DARCred] (sinus) -- ++(0.5*\x,0.5*\x) node[right] {$I$};
\draw[DARCblue] (cosius) -- ++(0.5*\x,0.5*\x) node[right] {$U$};
%
\draw(s1)
++(0,-1) node[](){$R=\infty$}
++(+1,0) node[](){$R=0$}
++(+1,0) node[](){$R=\infty$}
++(+1,0) node[](){$R=0$}
++(+1,0) node[](){$R=\infty$}
++(+1,0) node[](){$R=0$};
%
\draw(s1)
++(0,-1.5) coordinate(s2)
++(1,0) coordinate(s3)
++(1,0) coordinate(s4)
++(1,0) coordinate(s5)
++(1,0) coordinate(s6)
++(1,0) coordinate(s7);
% 1:[color], 2:[top], 3:start, 4:end, 5:shift, 6:rotate, 7:text
\DARCmeasure{s2}{s3}{0,0}{0}{$\frac{\lambda}{4}$}
\DARCmeasure{s3}{s4}{0,0}{0}{$\frac{\lambda}{4}$}
\DARCmeasure{s4}{s5}{0,0}{0}{$\frac{\lambda}{4}$}
\DARCmeasure{s5}{s6}{0,0}{0}{$\frac{\lambda}{4}$}
\DARCmeasure{s6}{s7}{0,0}{0}{$\frac{\lambda}{4}$}
\end{tikzpicture}
+218
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\draw[very thick](l1) to [short, o-o] ++(5,0) coordinate(l3);
\draw[very thick](l2) to [short, o-o] ++(5,0) coordinate(l4);
%
\draw[DARCgreen] (l3) to [open, l={$R_\mathrm{a}=\infty$}] (l4);
\draw[DARCgreen] (l3) to [open, l_={$R_\mathrm{a}=\infty$}] (l4);
%
\draw(l1) to [open] ++(0,-2.5) coordinate(s1);
%
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@@ -0,0 +1,345 @@
% Author: Prof. Dr. Matthias Jung, DL9MJ
% Year: 2026
%
% Strahlungsmuster und Stromverteilung idealer Monopolantennen
% über perfekter Erde.
%
% Elevationswinkel alpha:
% 0° = Horizont
% 90° = Zenit
%
% Gezeigt werden:
% lambda/4
% lambda/2
% 5 lambda/8
% lambda
%
% Die orangen Kurven zeigen die relative elektrische Feldstärke |E|
% im Fernfeld bei gleicher insgesamt abgestrahlter Leistung.
%
% Alle Diagramme sind gemeinsam auf den lambda/4-Monopol normiert:
% E_max(lambda/4) = 1
%
% Die roten Kurven zeigen die idealisierte Stromverteilung
% entlang des Strahlers.
%
% Für die Feldstärke ergeben sich ungefähr:
%
% lambda/4: E_max = 1.000
% lambda/2: E_max = 1.212
% 5 lambda/8: E_max = 1.414
% lambda: E_max = 1.241
%
\begin{tikzpicture}
% --------------------------------------------------------------------------
% Fernfeld eines idealen vertikalen Monopols
%
% alpha = Elevationswinkel über dem Horizont
% h = Strahlerlänge in Wellenlängen
%
% Unnormierter Feldfaktor:
%
% cos(2*pi*h*sin(alpha)) - cos(2*pi*h)
% F(alpha) = ---------------------------------------------------
% cos(alpha)
%
% Die Antennen unterschiedlicher Länge werden so normiert,
% dass jeweils dieselbe Gesamtleistung abgestrahlt wird.
%
% Als gemeinsame Referenz dient der lambda/4-Monopol.
%
% Die Normierungsfaktoren für die Feldstärke sind die
% Quadratwurzeln der entsprechenden Leistungsfaktoren:
%
% lambda/4: 1.000000000
% lambda/2: 0.606072220
% 5 lambda/8: 0.828507649
% lambda: 0.530720330
%
% PGF verwendet Grad bei trigonometrischen Funktionen.
% Daher entspricht 2*pi*h dem Winkel 360*h.
% --------------------------------------------------------------------------
\pgfmathdeclarefunction{monofield}{3}{%
\pgfmathparse{%
abs(
(
cos(360*#2*sin(#1))
- cos(360*#2)
)
/ cos(#1)
)
* #3
}%
}
% --------------------------------------------------------------------------
% Polardiagramm
%
% Eine radiale Einheit entspricht dem maximalen E-Feld
% des lambda/4-Monopols.
%
% Der äußere Radius entspricht E = 1.5.
% --------------------------------------------------------------------------
\def\R{0.93}
\def\Emax{1.5}
% Horizontale Auslenkung der Stromkurve
\def\Iscale{0.28}
% Vertikale Skalierung der Antennendarstellung
\def\AntennaScale{1.55}
\tikzset{
polargrid/.style={
draw=black!35,
line width=0.35pt
},
polargridminor/.style={
draw=black!20,
line width=0.25pt
},
polarreference/.style={
draw=black!45,
line width=0.45pt
},
radiation/.style={
draw=DARCorange,
line width=1.4pt
},
antenna/.style={
draw=black,
line width=1.1pt
},
current/.style={
draw=DARCred,
line width=1.3pt
}
}
% --------------------------------------------------------------------------
% Panel
%
% #1 x-Position
% #2 y-Position
% #3 Strahlerlänge h/lambda
% #4 Normierungsfaktor des E-Feldes
% #5 Beschriftung der mechanischen Länge
% --------------------------------------------------------------------------
\newcommand{\MonopolePanel}[5]{%
\begin{scope}[shift={(#1,#2)}]
% --------------------------------------------------------------
% Polardiagramm
%
% Radiale Kreise:
% 0.5
% 1.0 = Maximum lambda/4
% 1.5
% --------------------------------------------------------------
\foreach \r in {0.5,1.5}{
\draw[polargridminor]
(0,0)
++(0:{\r*\R})
arc[
start angle=0,
end angle=90,
radius={\r*\R}
];
}
% Referenzkreis E = 1
\draw[polarreference]
(0,0)
++(0:\R)
arc[
start angle=0,
end angle=90,
radius=\R
];
% Winkelstrahlen
\foreach \a in {0,10,...,90}{
\draw[polargrid]
(0,0) -- (\a:{\Emax*\R});
}
% Winkelbeschriftungen
\foreach \a in {0,10,...,90}{
\node[
font=\scriptsize,
inner sep=1pt
] at (\a:{1.60*\R}) {\a};
}
% --------------------------------------------------------------
% Strahlungsdiagramm
%
% Radius proportional zur relativen elektrischen Feldstärke |E|.
%
% Alle vier Diagramme benutzen dieselbe Referenz:
%
% E_max(lambda/4) = 1
% --------------------------------------------------------------
\draw[radiation]
plot[
domain=0:89.7,
samples=350,
smooth,
variable=\a
]
(
{
\R
* monofield(\a,#3,#4)
* cos(\a)
},
{
\R
* monofield(\a,#3,#4)
* sin(\a)
}
);
% --------------------------------------------------------------
% Antennendarstellung
% --------------------------------------------------------------
\pgfmathsetmacro{\antennaheight}{\AntennaScale*#3}
% Groundplane / Erde
\draw[antenna]
(-0.73,0) -- (-0.27,0);
% Strahler
\draw[antenna]
(-0.50,0) -- (-0.50,\antennaheight);
% --------------------------------------------------------------
% Stromverteilung
%
% I(z) = Imax * sin(k * (l-z))
%
% Da z und l in Wellenlängen angegeben sind:
%
% I(z) = sin(360° * (l-z))
%
% Die Stromverteilung ist für jede Antenne auf denselben
% zeichnerischen Ausschlag skaliert. Die roten Kurven zeigen
% daher Form und Phasenlage, nicht die absolute Stromstärke.
%
% Ein Vorzeichenwechsel erscheint auf der jeweils anderen
% Seite des Strahlers.
% --------------------------------------------------------------
\draw[current]
plot[
domain=0:#3,
samples=180,
smooth,
variable=\z
]
(
{
-0.50
+ \Iscale*sin(360*(#3-\z))
},
{
\AntennaScale*\z
}
);
% --------------------------------------------------------------
% Längenmaß
% --------------------------------------------------------------
\draw[
Triangle-Triangle,
line width=0.55pt
]
(-0.82,0)
--
(-0.82,\antennaheight);
% Längenbeschriftung
\node[
rotate=90,
font=\small,
anchor=south
] at (-0.87,{0.5*\antennaheight})
{$l=#5$};
\end{scope}
}
% --------------------------------------------------------------------------
% Obere Reihe
% --------------------------------------------------------------------------
% lambda/4
%
% E_max = 1.000 bei alpha = 0°
%
\MonopolePanel
{0}
{0}
{0.25}
{1.000000000}
{\frac{1}{4}\lambda}
% lambda/2
%
% E_max ~= 1.212 bei alpha = 0°
%
\MonopolePanel
{3.15}
{0}
{0.50}
{0.606072220}
{\frac{1}{2}\lambda}
% --------------------------------------------------------------------------
% Untere Reihe
% --------------------------------------------------------------------------
% 5 lambda/8
%
% E_max ~= 1.414 bei alpha = 0°
%
% erste Nullstelle:
% alpha ~= 36.87°
%
% kleine Hochwinkelkeule
%
\MonopolePanel
{0}
{-2.05}
{0.625}
{0.828507649}
{\frac{5}{8}\lambda}
% lambda
%
% Nullstelle am Horizont:
% alpha = 0°
%
% E_max ~= 1.241
% Hauptmaximum bei alpha ~= 32.56°
%
\MonopolePanel
{3.15}
{-2.05}
{1.0}
{0.530720330}
{\lambda}
\end{tikzpicture}
+189
View File
@@ -0,0 +1,189 @@
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After

Width:  |  Height:  |  Size: 39 KiB

+50
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% Author: Prof. Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{circuitikz}
\pgfdeclarelayer{bg} % declare background layer
\pgfsetlayers{bg,main}
\draw [dashed] (0,0) -- ++(0.55,0) coordinate(a);
\draw (a) to [short,o-o] ++(0.5,0) coordinate(u1);
\begin{pgfonlayer}{bg}
\draw[very thick ] (u1)
to [short] ++(1,0) coordinate(b);
\end{pgfonlayer}
\ctikzset{inductors/coils=2, inductors/scale=0.5, capacitors/scale=0.5}
\draw(b) to [short, *-] ++(0,0.35);
\draw(b) to [open] ++(0.5,0.35)
arc(0:180:0.125)
arc(0:180:0.125);
\draw(b) to [open] ++(0.5,0.35)
to [short] ++(0,-0.35) coordinate(u2);
\draw(b) to [short] ++(0,-0.35)
to [C, name={foo}] ++(0.5,0)
to [short,-*] ++(0,+0.35) coordinate(q);
\draw[very thick, DARCred](q)
to [short] ++(2,0) coordinate(x1)
to [open] ++(0.5,0) coordinate(x2)
to [short] ++(2,0) coordinate(c);
\draw(c) to [short] ++(0,0.35);
\draw(c) to [open] ++(0.5,0.35)
arc(0:180:0.125)
arc(0:180:0.125);
\draw(c) to [open, *-] ++(0.5,0.35)
to [short] ++(0,-0.35);
\draw(c) to [short] ++(0,-0.35)
to [C] ++(0.5,0)
to [short,-*] ++(0,+0.35) coordinate(u3);
\draw[very thick](u3)
to [short] ++(1,0) coordinate(u4);
\draw(u4)
to [short,o-] ++(0.5,0) coordinate(d);
\draw [dashed] (d) -- ++(0.55,0);
\draw (d) to [short,-o] ++(0.0,0);
\draw (x1) to [short, -*] ++(0,0) node[anchor=north]{X};
\draw (x2) to [short, -*] ++(0,0) node[anchor=north]{X};
\draw (q) to [short, -*] ++(0,0);
\draw (foo.south) node[anchor=north]{$f_\mathrm{res}=\qty{7,05}{\mega\hertz}$};
\DARCmeasure[black][top]{u1}{b}{0,0.75}{0}{$\qty{6,71}{\meter}$}
\DARCmeasure[black][top]{u2}{x1}{0,0.75}{0}{$\qty{10,07}{\meter}$}
\DARCmeasure[black][top]{x2}{c}{0,0.75}{0}{$\qty{10,07}{\meter}$}
\DARCmeasure[black][top]{u3}{u4}{0,0.75}{0}{$\qty{6,71}{\meter}$}
\end{circuitikz}
+191
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After

Width:  |  Height:  |  Size: 40 KiB

+51
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% Author: Prof. Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{circuitikz}
\pgfdeclarelayer{bg} % declare background layer
\pgfsetlayers{bg,main}
\draw [dashed] (0,0) -- ++(0.55,0) coordinate(a);
\draw (a) to [short,o-o] ++(0.5,0) coordinate(u1);
\begin{pgfonlayer}{bg}
\draw[very thick, DARCred] (u1)
to [short] ++(1,0) coordinate(b);
\end{pgfonlayer}
\ctikzset{inductors/coils=2, inductors/scale=0.5, capacitors/scale=0.5}
\draw(b) to [short, *-] ++(0,0.35);
\draw(b) to [open] ++(0.5,0.35)
arc(0:180:0.125)
arc(0:180:0.125);
\draw(b) to [open] ++(0.5,0.35)
to [short] ++(0,-0.35) coordinate(u2);
\draw(b) to [short] ++(0,-0.35)
to [C, name={foo}] ++(0.5,0)
to [short,-*] ++(0,+0.35) coordinate(q);
\draw[very thick, DARCred](q)
to [short] ++(2,0) coordinate(x1)
to [open] ++(0.5,0) coordinate(x2)
to [short] ++(2,0) coordinate(c);
\draw(c) to [short] ++(0,0.35);
\draw(c) to [open] ++(0.5,0.35)
arc(0:180:0.125)
arc(0:180:0.125);
\draw(c) to [open, *-] ++(0.5,0.35)
to [short] ++(0,-0.35);
\draw(c) to [short] ++(0,-0.35)
to [C] ++(0.5,0)
to [short,-*] ++(0,+0.35) coordinate(u3);
\draw[very thick, DARCred](u3)
to [short] ++(1,0) coordinate(u4);
\draw(u4)
to [short,o-] ++(0.5,0) coordinate(d);
\draw [dashed] (d) -- ++(0.55,0);
\draw (d) to [short,-o] ++(0.0,0);
\draw (x1) to [short, -*] ++(0,0) node[anchor=north]{X};
\draw (x2) to [short, -*] ++(0,0) node[anchor=north]{X};
\draw (q) to [short, -*] ++(0,0);
\draw (u3) to [short, -*] ++(0,0);
\draw (foo.south) node[anchor=north]{$f_\mathrm{res}=\qty{7,05}{\mega\hertz}$};
\DARCmeasure[black][top]{u1}{b}{0,0.75}{0}{$\qty{6,71}{\meter}$}
\DARCmeasure[black][top]{u2}{x1}{0,0.75}{0}{$\qty{10,07}{\meter}$}
\DARCmeasure[black][top]{x2}{c}{0,0.75}{0}{$\qty{10,07}{\meter}$}
\DARCmeasure[black][top]{u3}{u4}{0,0.75}{0}{$\qty{6,71}{\meter}$}
\end{circuitikz}
+152
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@@ -0,0 +1,152 @@
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After

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% Author: Prof. Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{circuitikz}
\draw[thick, DARCred] (0,0)
sin ++(4, 3)
cos ++(4,-3);
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sin ++(2,+1.5)
cos ++(2,-1.5)
sin ++(2,+1.5)
cos ++(2,-1.5);
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cos ++(1,-0.75)
sin ++(1,+0.75)
cos ++(1,-0.75)
sin ++(1,+0.75)
cos ++(1,-0.75)
sin ++(1,+0.75)
cos ++(1,-0.75);
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cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35)
sin ++(0.5,+0.35)
cos ++(0.5,-0.35);
\draw[very thick] (0,0) coordinate(start)
to [short] ++( 3.9, 0)
to [short] ++( 0,-0.8);
\draw[very thick] (8,0) coordinate(end)
to [short] ++(-3.9, 0)
to [short] ++( 0,-0.8);
\node[DARCred, anchor=south west] at (6,{3/sqrt(2)}) {\qty{3.5}{\mega\hertz}};
\node[DARCblue, anchor=south west] at (3,{1.5/sqrt(2)}) {\qty{7}{\mega\hertz}};
\node[DARCgreen, anchor=south west] at (1.5,{0.75/sqrt(2)}) {\qty{14}{\mega\hertz}};
\node[DARCorange, anchor=north] at (1,0) {\qty{28}{\mega\hertz}};
\DARCmeasure{start}{end}{0,-1}{0}{$\qty{40}{\meter}$}
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After

Width:  |  Height:  |  Size: 20 KiB

+47
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@@ -0,0 +1,47 @@
% Author: Prof. Dr. Matthias Jung, DL9MJ
% Year: 2026
\begin{circuitikz}
\draw[thick, DARCred] (0,0)
sin ++(4, 3)
cos ++(4,-3);
% 3. Harmonische
\draw[thick, DARCblue] (0,0)
sin ++({4/3},+1) cos ++({4/3},-1)
sin ++({4/3},+1) cos ++({4/3},-1)
sin ++({4/3},+1) cos ++({4/3},-1);
% 5. Harmonische
\draw[thick, DARCgreen] (0,0)
sin ++(0.8,+0.6) cos ++(0.8,-0.6)
sin ++(0.8,+0.6) cos ++(0.8,-0.6)
sin ++(0.8,+0.6) cos ++(0.8,-0.6)
sin ++(0.8,+0.6) cos ++(0.8,-0.6)
sin ++(0.8,+0.6) cos ++(0.8,-0.6);
% 7. Harmonische
\draw[thick, DARCorange] (0,0)
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7})
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7})
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7})
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7})
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7})
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7})
sin ++({4/7},{+3/7}) cos ++({4/7},{-3/7});
\draw[very thick] (0,0) coordinate(start)
to [short] ++( 3.9, 0)
to [short] ++( 0,-0.8);
\draw[very thick] (8,0) coordinate(end)
to [short] ++(-3.9, 0)
to [short] ++( 0,-0.8);
\node[DARCred, anchor=south west] at (6,{3/sqrt(2)}) {\qty{3.5}{\mega\hertz}};
\node[DARCblue, fill=white, inner sep=1pt, anchor=south west]
at (2,{1/sqrt(2)}) {\qty{10.5}{\mega\hertz}};
\node[DARCgreen, fill=white, inner sep=1pt, anchor=south west]
at (4.8,{1/sqrt(2)}) {\qty{17.5}{\mega\hertz}};
\node[DARCorange, anchor=north] at ({8/7},0) {\qty{24.5}{\mega\hertz}};
\DARCmeasure{start}{end}{0,-1}{0}{$\qty{40}{\meter}$}
\end{circuitikz}
+57 -68
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@@ -1,89 +1,78 @@
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