Problem 9.34 Light of (angular) frequency a: passes from medium 1, through a slab (thickness d} of medium 2, and into medium 3 {for instance, from water through glass into air, as in Fig. 9.27}. Show that the transmission coefcient for normal incidence is given by 2 _ 2 2_ 2 T" = I [(rt1+it_=t)2 + Wang (nzwd. (9.199) n 2 C [Hint To the ie, there is an incident wave and a reected wave; to the right. there is a trammitted wave; inside the slab there is a wave going to the right and a wave going to the left. Express each of these in terms of its complex amplitude, and relate the amplitudes by imposing suitable boundary conditions at the two interfaces. All three media are linear and homogeneous; assume a; = #2 = {.113 = tin-i Figure 9.27