A piece of glass in the shape of a rhombic prism can be used to convert linearly polarized light into circularly polarized light and vice versa. The effect is based on the phase change of totally internally reflected light.

(a) Show that the “s” or ⊥ Fresnel reflection amplitude for total internal reflection is

(b) Show that the “p” or ΙΙ Fresnel reflection amplitude for total internal reflection is

(c) Let the wave incident on the first interface be E_I = E_I (x̂ + ŷ). Use the foregoing to show that the polarization of the reflected wave is determined by δ_⊥ − δΙΙ and that

(d) If the index of refraction of non-magnetic glass is n = 1.5, show that the rhomb behaves as advertised in air if the rhombic angle is Θ = 50.2◦ or Θ = 53.3^◦.

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