smith_chart_orbit.tex

Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets

smith_chart_orbit.tex

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

Skip source text

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);
15 \node[] at (-1.95200,0.00000) {$4$};
16 \fill (-1.13137,-1.13137) circle (.075);
17 \node[] at (-1.38027,-1.38027) {$5$};
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);
35 \node[] at (8.58233,0.00000) {$4$};
36 \fill (8.90895,-0.66841) circle (.075);
37 \node[] at (8.68339,-0.73525) {$5$};
38 \fill (9.31000,-1.48000) circle (.075);
39 \node[] at (9.12253,-1.62800) {$6$};
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}

Back to source controls

Other PDFs for this work

Original file and source record

This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: b3bfc786e7035d4eaa23ae8dd9d151392d7ee4c8b0332e173b6dbbd776e08c7e

Original source on GitHub

Back to Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets