Making use of the Fresnel Equations, show that t_||(θ_p)t'_p||(θ'_p) = 1, as in the previous problem.

Data from Prob. 4.100

A wave, linearly polarized in the plane-of-incidence, impinges on the interface between two dielectric media. If n_i > n_t and θ_i = θ'_p, there is no reflected wave, that is, r'_||(θ'_p) = 0. Using Stokes€™s technique, start from scratch to show that t_||(θ_p)t'_||(θ'_p) = 1, r_||(θ_p) = 0, and θ_t = θ_p (Problem 4.68). How does this compare with Eq. (4.100)?

Data from Prob. 4.68

Show that the polarization angles for internal and external reflection at a given interface are complementary, that is, θ_p + θ'_p = 90° (see Problem 4.66).

Data from Prob. 4.66

Show that tan θ_p = n_t/n_i and calculate the polarization angle for external incidence on a plate of crown glass (n_g = 1.52) in air.

Transcribed Image Text:

tyt'| = T| (4.100)