4. Assume that we have a material with refractive index n1. We input a waveform with an amplitude E, and frequency w such that the sample length l contains exactly two periods. Assume E is maximum at the edges at time t = 0. (a) Plot and justify the instantaneous incident power P, (t) as a function of time at x = 0. Label the peak power and RMS power on this plot. n1 P4(t) E H (b) Discuss the propagation direction if you are told that Ê = ŷ and Ĥ = î. Is this consistent with E„ (x,t) as defined above? (c) Suppose we know µ = µo, as is standard for non-ferromagnetic media. Calculate the exact amplitude of the H field based on the given input E field amplitude and material parameters.

4. Assume that we have a material with refractive index n1. We input a waveform with an amplitude E, and frequency w such that the sample length l contains exactly two periods. Assume E is maximum at the edges at time t = 0. (a) Plot and justify the instantaneous incident power P, (t) as a function of time at x = 0. Label the peak power and RMS power on this plot. n1 P4(t) E H (b) Discuss the propagation direction if you are told that Ê = ŷ and Ĥ = î. Is this consistent with E„ (x,t) as defined above? (c) Suppose we know µ = µo, as is standard for non-ferromagnetic media. Calculate the exact amplitude of the H field based on the given input E field amplitude and material parameters.