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 9.101, and obtain the Fresnel equations for E0R and E0T. Sketch (E0R/E01) and (E0T/E01) as functions of θ1 for the case β = n2/n1 = 1.5. (Note that for this fl the reflected wave is always 180o out of phase.) Show that there is no Brewster's angle for any n1 and n2: E0R is never zero (unless, of course, n1 = n2 and ?1 = ?2, 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.

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KR E₁ BR OR 0, B₁ ER ET 07 BT кт N