# File:Wave opposite-group-phase-velocity.gif

Wave_opposite-group-phase-velocity.gif(250 × 154 pixels, file size: 354 KB, MIME type: image/gif, looped, 50 frames, 4.0 s)

## Summary

Description
English: Animated Plot of a wave with phase and group velocities in opposite directions.
${\displaystyle y(x,t)=({\frac {5}{8}}-{\frac {3}{8}}\cdot \cos(2\pi (x-t)))\cdot \cos(2\pi (10x+4t))}$
Date
Source

Own work;

 This diagram was created with Mathematica
Author Geek3

## Source Code

 This diagram was created with Mathematica
Table[Plot[
(5/8 - 3/8 * Cos[2 Pi (x - t)]) * Cos[2 Pi (10*x + 4*t)],
{x, 0, 1}, PlotRange -> {-1, 1}, PlotStyle -> Thick,
PerformanceGoal -> "Quality" , ImageSize -> 250],
{t, 0, 1 - 1/50, 1/50}]


File -> Save Selection As... -> wave_opposite-group-phase-velocity.gif

Bash commands for postprocessing (bash, ImageMagick, gifsicle):

$convert wave_opposite-group-phase-velocity.gif -crop 268x192 +repage wave.png$ for i in wave-*.png; do convert $i -crop 250x154+9+0 +repage$i; done
$convert wave-?.png wave-??.png wave_opposite-group-phase-velocity.gif$ rm wave-*.png
\$ gifsicle -b --delay 8 --comment "http://commons.wikimedia.org/wiki/File:wave_opposite-group-phase-velocity.gif" wave_opposite-group-phase-velocity.gif


## Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
 Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
 This file is licensed under the Creative Commons Attribution 3.0 Unported license. You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

## File history

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Date/TimeThumbnailDimensionsUserComment
current22:42, 2 April 2011250 × 154 (354 KB)Geek3self created file
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