What Are Counter-Propagating Waves and Their Amplitude Scenarios?

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Counter-propagating waves refer to two waves moving in opposite directions that interfere with each other, creating a standing wave. The amplitude of each counter-propagating wave is half of the amplitude of the resulting standing wave. Other scenarios that could occur instead of counter-propagating waves include waves moving in the same direction or waves with different frequencies. Understanding these concepts is essential for analyzing wave behavior in various physical contexts. The discussion highlights the importance of wave interaction in determining amplitude outcomes.
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I was given an amplitude of a wave and was asked "What is the amplitude of each of the two counter-propagating waves that give rise to this standing wave" So since it says "counter-propagating" that means the waves are stacked on each other? so its really just half the given amplitude. Basically I'm trying to define counter propagating and in addition what other scenarios could be possible instead of counter propagating. Thanks!
 
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