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Complex Wave Lecture - Michigan Technological University

Since exp(iϕ) = cos(ϕ) + i sin(ϕ), E(x,t) can also be written: E(x,t) = Re { E 0 exp[i(kx – ωt – θ)] } Recall that the energy transferred by a wave (flux density) is proportional to the square of the amplitude, i.e., E 0 2. Only the interaction of the wave with matter can alter the energy of the propagating wave.

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