The initial wave amplitude y = x*x where x is one dimensional space. The forward propagating wave should have amplitude y = (t-x)*(t-x). As time goes by, the wave move along positive x direction. The backward propagating wave should have amplitude y = (t+x)*(t+x). As time goes by, the wave move along negative x direction. To view the following movies, you may need the quicktime plugin.
For Mac
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Figure 1. Forward wave y = (t-x)*(t-x) as t increasing from 0 to 10. Click on the arrow on the left to start the animation. |
Figure 2. Backward wave y = (t+x)*(t+x) as t increasing from 0 to 10. Click on the arrow on the left to start the animation. |
For PC
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Figure 1. Forward wave y = (t-x)*(t-x) as t increasing from 0 to 10. Click any where on the graph start the animation. |
Figure 2. Backward wave y = (t+x)*(t+x) as t increasing from 0 to 10. Click any where on the graph start the animation. |