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Mathematical description of traveling wave (行波)
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Wave function (波函数): describes the position of any particle in the medium at any time
The above wave function satisfies the following one-dimensional wave equation
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![](pic/chapter15.6.gif) |
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Mathematical description of a wave |
sinusoidal wave moving in +x-direction
Wave number (波数):
Phase (相位): ![](pic/15.07.3.gif)
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![](pic/chapter15.7.gif) |
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Graphing wave functions |
For wave moving in -x-direction
Phase velocity (相速度): speed of wave moving alongside a point of constant phase
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![](pic/chapter15.8.gif) |
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Particle velocity and acceleration in a sinusoidal wave |
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![](pic/15.09.1.gif) |
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Speed of a transverse wave |
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Energy in wave motion |
Assuming: ![](pic/15.11.2.gif)
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![](pic/chapter15.11.gif) |
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Wave intensity |
For waves that travel in 3-D, the intensity is defined as the average power per unit area.?
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![](pic/chapter15.12.gif) |
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