4. Assume that we have a material with refractive index Ny. 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(1) as a function of time at x = 0. Label the peak power and RMS power on this plot. ni E AA . -1 0 (b) Discuss the propagation direction if you are told that E = and A = 2. Is this consistent with E+(x, t) as defined above? (c) Suppose we know u = Mo, 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