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In my book it says that if the dielectric function ε is time invariant, we can write a solution to Maxwells equations of the form E(r, t) = E(r)exp(jωt). I agree that the ME are separable, but I don't see how theyknowthat the time-dependence is harmonic? What is so special about exp(jωt) in this respect?

Best,

Niles.

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# Maxwells Equations and Time Invariance

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