File:Sequential superposition of plane waves.gif
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
DescriptionSequential superposition of plane waves.gif |
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
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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Original upload log
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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20 May 2012
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Date/Time | Dimensions | User | Comment | |
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current | 10:27, 3 April 2013 | 360 × 223 (1.85 MB) | Patrick Edwin Moran | description |
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GIF file comment | Created by Wolfram Mathematica 7.0 |
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