Making use of the Fresnel Equations, show that t || (θ p )t' p|| (θ' p )
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Data from Prob. 4.100
A wave, linearly polarized in the plane-of-incidence, impinges on the interface between two dielectric media. If ni > nt and θi = θ'p, there is no reflected wave, that is, r'||(θ'p) = 0. Using Stokess technique, start from scratch to show that t||(θp)t'||(θ'p) = 1, r||(θp) = 0, and θt = θp (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, θp + θ'p = 90° (see Problem 4.66).
Data from Prob. 4.66
Show that tan θp = nt/ni and calculate the polarization angle for external incidence on a plate of crown glass (ng = 1.52) in air.
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