A linearly polarized electromagnetic wave is incident on the plane interface between air and an isotropic medium of relative permittivity ε = 3 and relative permeability μ = 1. The incident propagation vector makes an angle of 60o with the normal to the interface and the direction of polarization of the incident wave is normal to the scattering plane.
a) Use one of Fresnel's equations to calculate the ratio of Et0, the amplitude of the transmitted electric field, to Ei0, the amplitude of the incident electric field. Use another of Fresnel's equations to calculate the ratio of Er0, the amplitude of the reflected electric field to Ei0.
b) Calculate the transmittance T and the reflectance R, that is, the relative amounts of power transmitted through and reflected from the boundary. Verify that your answers are consistent with the law os conservation of energy.