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and I found out that the problem came from the fact that complex field vectors are expressed with e

^{-iwt}, not e

^{iwt}, thus producing (-iwt) term when differentiated:

http://photonics101.com/light-matter-interactions/drude-model-metal-permittivity-conductivity (See "Show Solutions")

Now, I guess that when you pick either e

^{iwt}or e

^{-iwt}and derive complex parameters like permittivity, you have to stick with it from then on in order to obtain valid real-part values with correct phase,

but is e

^{-iwt}the conventional one? I've seen the same formula for permittivity in Wikipedia... Is this because i(kx-wt) is more natural for waves propagating to positive x direction?