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Question

Can coherent waves have different amplitudes?


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Solution

Explanation:

  1. Waves in phase and with the same frequency, but with different amplitudes. Technically these waves are coherent, but there will be no complete constructive interference where they meet, so they will contribute poorly to an interference pattern.
  2. Two waves can add together to create a wave of greater amplitude than either one (constructive interference) or subtract from each other to create a wave of lesser amplitude than either one (destructive interference), depending on their relative phase.
  3. If we consider light as an oscillating wave of energy then we can represent it on paper in the following way. In the diagram below there are two waves both of them has same wavelength but with different amplitudes.

4. Since the property of coherence has nothing to do with the amplitude of the waves. The property of coherence entirely depends on the phase difference.

Hence, two coherent waves can have different amplitudes.


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