5. Assume that we have a material with refractive index n,. We input a waveform with an amplitude Eo and frequency w such that the sample length l contains exactly two periods. Assume E = 0 at the edges at time t = 0.Assume another material n, on the right such that the boundary is in short condition. n, is a conductor at the given w. Discuss the necessary mathematical requirements for n2 to force a short condition on the boundary,assuming n, is vacuum. Is this a physically valid refractive index? Hint: is there propagation in n2?

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