File:Sequential superposition of plane waves.gif
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Sequential_superposition_of_plane_waves.gif (360 × 223 pixels, file size: 1.85 MB, MIME type: image/gif, looped, 451 frames)
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Summary
| Description |
made in Mathematica with the following sloppy but effective code: Do[a[jj] = Plot[{Cos[x], Cos[2 x] + 10 - 0.25*jj}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 1, 40}];
Do[a[jj] = Plot[{Cos[x] + 0.1*(jj - 40)*Cos[2 x],
0.1*(50 - jj)*Cos[2 x]}, {x, -Pi, Pi}, PlotRange -> {-3, 12},
Axes -> {True, False}, Ticks -> False], {jj, 41, 50}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x], Cos[3 x] + 10 - 0.25*(jj - 50)}, {x, -Pi,
Pi}, PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 51, 90}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + 0.1*(jj - 90)*Cos[3 x],
0.1*(100 - jj)*Cos[3 x]}, {x, -Pi, Pi}, PlotRange -> {-3, 12},
Axes -> {True, False}, Ticks -> False], {jj, 91, 100}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x],
Cos[4 x] + 10 - 0.25*(jj - 100)}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 101, 140}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + 0.1*(jj - 140)*Cos[4 x],
0.1*(150 - jj)*Cos[4 x]}, {x, -Pi, Pi}, PlotRange -> {-3, 12},
Axes -> {True, False}, Ticks -> False], {jj, 141, 150}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x],
Cos[5 x] + 10 - 0.25*(jj - 150)}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 151, 190}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] +
0.1*(jj - 190)*Cos[5 x], 0.1*(200 - jj)*Cos[5 x]}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 191, 200}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x],
Cos[6 x] + 10 - 0.25*(jj - 200)}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 201, 240}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
0.1*(jj - 240)*Cos[6 x], 0.1*(250 - jj)*Cos[6 x]}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 241, 250}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x], Cos[7 x] + 10 - 0.25*(jj - 250)}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 251, 290}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + 0.1*(jj - 290)*Cos[7 x],
0.1*(300 - jj)*Cos[7 x]}, {x, -Pi, Pi}, PlotRange -> {-3, 12},
Axes -> {True, False}, Ticks -> False], {jj, 291, 300}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + Cos[7 x], Cos[8 x] + 10 - 0.25*(jj - 300)}, {x, -Pi,
Pi}, PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 301, 340}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + Cos[7 x] + 0.1*(jj - 340)*Cos[8 x],
0.1*(350 - jj)*Cos[8 x]}, {x, -Pi, Pi}, PlotRange -> {-3, 12},
Axes -> {True, False}, Ticks -> False], {jj, 341, 350}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + Cos[7 x] + Cos[8 x],
Cos[9 x] + 10 - 0.25*(jj - 350)}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 351, 390}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + Cos[7 x] + Cos[8 x] + 0.1*(jj - 390)*Cos[9 x],
0.1*(400 - jj)*Cos[9 x]}, {x, -Pi, Pi}, PlotRange -> {-3, 12},
Axes -> {True, False}, Ticks -> False], {jj, 391, 400}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + Cos[7 x] + Cos[8 x] + Cos[9 x],
Cos[10 x] + 10 - 0.25*(jj - 400)}, {x, -Pi, Pi},
PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 401, 440}];
Do[a[jj] = Plot[{Cos[x] + Cos[2 x] + Cos[3 x] + Cos[4 x] + Cos[5 x] +
Cos[6 x] + Cos[7 x] + Cos[8 x] + Cos[9 x] +
0.1*(jj - 440)*Cos[10 x], 0.1*(450 - jj)*Cos[10 x]}, {x, -Pi,
Pi}, PlotRange -> {-3, 12}, Axes -> {True, False},
Ticks -> False], {jj, 441, 450}];
frames = ParallelTable[a[jj], {jj, 0, 450}]; |
| Date | |
| Source | made with Mathematica |
| Author | Teply |
Licensing
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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Original upload log
The original description page was here. All following user names refer to en.wikipedia.
Upload date | User | Bytes | Dimensions | Comment
- 2012-05-20 21:49:47 | Teply | 1940719 | 360×223 | Uploading a self-made file using [[Wikipedia:File_Upload_Wizard|File Upload Wizard]]
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:27, 3 April 2013 | | 360 × 223 (1.85 MB) | Patrick Edwin Moran | description |
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