Analyze the case of polarization perpendicular to the plane of incidence (i.e. electric...

Analyze the case of polarization perpendicular to the plane of incidence (i.e. electric fields in the y direction, in Fig. 9.15). Impose the boundary conditions (Eq. 9.101), and obtain the Fresnel equations for Sketch as functions of θ_I , for the case β = n₂/n₁ = 1.5. (Note that for this β the reflected wave is always 180^° out of phase.) Show that there is no Brewster’s angle for any n₁ and n₂: is never zero (unless, of course, n1 = n2 and μ₁ = μ₂, in which case the two media are optically indistinguishable). Confirm that your Fresnel equations reduce to the proper forms at normal incidence. Compute the reflection and transmission coefficients, and check that they add up to 1.