3. Assume that we have a material with refractive index 1. We input a waveform with...

Transcribed Image Text:

3. Assume that we have a material with refractive index 1₁. 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 1₂ on the right such that n₂ = 2n₁. (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 E₁, ET X (c) Discuss how your answer to (a) changes if the incidence angle is no longer 0°. 3. Assume that we have a material with refractive index 1₁. 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 1₂ on the right such that n₂ = 2n₁. (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 E₁, ET X (c) Discuss how your answer to (a) changes if the incidence angle is no longer 0°.

Answer rating: 100% (QA)

a For normal incidence 0 at the boundary between two materials with refractive indices n1 and n2 the ... View the full answer