Question

Cuando dos ondas interfieren constructiva o destructivamente ¿hay alguna ganancia o pérdida de energía?

When two waves interfere with each other, whether it be constructive or destructive interference, is there any gain or loss of energy?

Answer 1

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Answer 2

No, there is no gain or loss of energy.

Remember that power is proportional to amplitude squared and consider the following:

First wave : amplitude A ; power A²
Second wave : amplitude A ; power A²

Total power if no interferences : 2 A²

Where destructive interference : amplitude 0 ; power 0
Where constructive interference : amplitude 2A ; power (2A)² = 4 A²

Mean power when interferences : (0 + 4 A²)/2 = 2 A²

No gain nor loss of energy.

Answer 3

energy is just redistributed.