Question: 3. Assume that we have a material with refractive index 1. We input a waveform with an amplitude Eo and frequency w such that

$3. Assume that we have a material with refractive index 1. We input a waveform with an amplitude Eo and$

3. Assume that we have a material with refractive index 1. We input a waveform with an amplitude Eo and frequency w such that the sample length I contains exactly two periods. Assume E is maximum at the edges at time t = 0. Assume another material 1 on the right such that n = 2n. (a) Calculate the fraction of power that is reflected off this boundary for normal incidence. (b) Plot and justify the incident and transmitted electric field waveforms E, (x, t), Er(x, t) as a function of x for the time values wt = 0. Pay close attention to your answer to (a). n1 n2 E, ET X (c) Discuss how your answer to (a) changes if the incidence angle is no longer 0.

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