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smaller in amplitude: sin(x), -3/2 sin(x) cancel out to become -sin(x)/2, which has a smaller amplitude

smaller wavelength: sin(x), sin(x), "combine" them by multiplying together. The wavelength is reduced by 2

If you are looking for an addition of waves that gets the smaller wavelength of a sine wave, here is the simplest one I can find. It is an infinite addition, and the result is sin(2x), a wave that has a smaller wavelength than the individual waves:

sum from k=0 to infinity of sin(k*pi/2+z0)(2x-z0)k / k!

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12y ago
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9y ago

I'd call that 'constructive interference'.

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12y ago

inference

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Q: A combination of waves from a larger wave?
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