A plane wave traveling in a medium with εr1 = 9 is normally incident upon a second medium with εr1 = 4. Both media are made of nonmagnetic, non-conducting materials. If the magnetic field of the incident plane wave is given by
Hi = ẑ 2 cos(27t × 109 t – ky) (A/m).
(a) Obtain time-domain expressions for the electric and magnetic fields in each of the two media.
(b) Determine the average power densities of the incident, reflected, and transmitted waves.
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