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What waves combine so that the resulting wave is bigger than the largest original wave?
This is known as superposition (this can refer to an increase or decrease in the amplitude of a wave caused by the interaction of two or more differing waves) or constructive interference (refers specifically to the increase in amplitude caused by the interaction of two or more waves).
For optimum constructive interference to occur, the waves must be perfectly in phase at all times. This means that they must have the same frequency and wavelength and the peaks and troughs of one wave coincide perfectly with the peaks and troughs of the second wave at all times.
Maximum constructive interference can occur in waves of differing frequency and wavelength, however it will only occur intermittently when the peaks and troughs happen to coincide perfectly. At other times it may vary from constructive interference (where two wave crests interact but not at their peaks) or destructive interference.
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