A uniform plane wave of angular frequency ω in medium 1 having a refractive index n1 is incident on a plane interface at z = 0 with medium 2 having a refractive index n2 (< n1) at the critical angle. Let Ei0 and Et0 denote the amplitudes of the incident and refracted electric field intensities, respectively.
a) Find the ratio Et0/Ei0 for perpendicular polarization.
b) Find the ratio Et0/Ei0 for parallel polarization.
c) Write the instantaneous expressions of Ei(x, z; t) and Et(x, z; t) for perpendicular polarization in terms of the parameters ω, n1n2, θi, and Ei0.
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