# If two sinusoidal waves that are out of phase and moving in same direction interferes then how will energy be distributed?

Let's say the two waves are $$y_1=\cos(\omega t-kx)$$ and $$y_2=\cos(\omega t-kx+\pi)$$

Here, $$\omega$$ is the angular frequency of wave, $$k$$ is the angular wave number, and $$t$$ is time.

They destructively interfere to produce no net movement of the medium particles everywhere and at all times.

Both the waves carry certain energy but where does this energy manifests itself after interference? I searched on the internet and found the answer "energy goes somewhere else".

But here there is only destructive interference everywhere and no constructive interference anywhere so in what way is the energy stored in the system?

• The energy is always stored in the medium. For sound or water its the elasticity of medium will hold the energy. Commented Dec 31, 2021 at 21:20
• better answer here physics.stackexchange.com/questions/623648/… Commented Dec 31, 2021 at 21:29