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Mar 10 at 11:56 history edited Noct CC BY-SA 4.0
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Mar 10 at 11:50 history edited Noct CC BY-SA 4.0
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Mar 10 at 11:42 history edited Noct CC BY-SA 4.0
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Mar 10 at 11:17 comment added Noct And that's because $\exp(i\omega)$ is the most physical representation of a pure frequency when your systems can be understood as some variation of a harmonic oscillator (physics.stackexchange.com/questions/716271/…).
Mar 10 at 8:25 comment added Noct Hi, then you are asking question: why we want solutions that are harmonic in time. When you assume that, you get the energy as described. However, spatial form of the solution does not matter.
Mar 9 at 22:41 comment added CuriousMind We could also represent the propagating field with any other basis different of plane waves, like triangular or square waves. The strange thing is that we choose plane waves for simplicity and that matches with reality by pure coincidence?
Mar 9 at 19:46 history answered Noct CC BY-SA 4.0