smith_chart_orbit.tex
Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets
smith_chart_orbit.tex
This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.
1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round]
2 \draw[black!35] (0,0) circle (3.2);\draw[dashed] (0,0) circle (1.6);
3 \draw[black!45] (-3.40000,0.00000) -- (3.40000,0.00000);
4 \draw[black!45] (0.00000,-3.40000) -- (0.00000,3.40000);
5 \node[] at (0.00000,3.90000) {$\Gamma_k=\frac12e^{ik\pi/4}$};
6 \fill (1.60000,0.00000) circle (.075);
7 \node[] at (1.95200,0.00000) {$0$};
8 \fill (1.13137,1.13137) circle (.075);
9 \node[] at (1.38027,1.38027) {$1$};
10 \fill (0.00000,1.60000) circle (.075);
11 \node[] at (0.00000,1.95200) {$2$};
12 \fill (-1.13137,1.13137) circle (.075);
13 \node[] at (-1.38027,1.38027) {$3$};
14 \fill (-1.60000,0.00000) circle (.075);
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18 \fill (0.00000,-1.60000) circle (.075);
19 \node[] at (0.00000,-1.95200) {$6$};
20 \fill (1.13137,-1.13137) circle (.075);
21 \node[] at (1.38027,-1.38027) {$7$};
22 \draw[dashed] (11.28333,0) circle (2.46667);
23 \draw[black!45] (7.90000,0.00000) -- (14.21250,0.00000);
24 \draw[black!45] (8.20000,-2.85000) -- (8.20000,2.85000);
25 \node[] at (11.28333,3.90000) {$z_k=(1+\Gamma_k)/(1-\Gamma_k)$};
26 \fill (13.75000,0.00000) circle (.075);
27 \node[] at (13.98433,0.00000) {$0$};
28 \fill (10.75575,2.40959) circle (.075);
29 \node[] at (10.70563,2.65054) {$1$};
30 \fill (9.31000,1.48000) circle (.075);
31 \node[] at (9.12253,1.62800) {$2$};
32 \fill (8.90895,0.66841) circle (.075);
33 \node[] at (8.68339,0.73525) {$3$};
34 \fill (8.81667,0.00000) circle (.075);
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36 \fill (8.90895,-0.66841) circle (.075);
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40 \fill (10.75575,-2.40959) circle (.075);
41 \node[] at (10.70563,-2.65054) {$7$};
42 \node[] at (11.28333,-3.65000) {Equal phase steps do not become equal impedance steps.};
43 \end{tikzpicture}
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