Making use of the definitions of the azimuthal angles in Problem 4.69, show that R = R||cos

Making use of the definitions of the azimuthal angles in Problem 4.69, show that

and

Data from Prob. 4.69

It is often useful to work with the azimuthal angle γ, which is defined as the angle between the plane-of-vibration and the plane-of-incidence. Thus for linearly polarized light,

Figure P.4.69 is a plot of γ_r versus θ_i for internal and external reflection at an air–glass interface (n_gα = 1.51), where γ_i = 45°. Verify a few of the points on the curves and in addition show that 

Figure P.4.69

Transcribed Image Text:

R = R||cos" yi + R_sin²y¡ (4.96) T = T|cos yi + T_sin² y; (4.97)