Question

please do #4 a and b

4) The following figure shows a piece of transparent dielectric. It is made out of two pieces of material with indices of refraction, n2 = 1.5 on the left and nz on the right, with the geometry shown in the figure. The whole thing sits in air with an index of refraction, ni = 1. A laser is shot in horizontally from the left along the mid-plane of the dielectric (the z-axis). n = 1 45° a) (15 pnts) If n3 = 2.0, determine the angle with respect to the z-axis when the beam emerges from the entire dielectric. Sketch the full ray geometry and label all optical assumptions made along the ray path. b) (15 pnts) If n3 = 1.05, determine the angle with respect to the 2-axis when the beam emerges from the entire dielectric. Sketch the full ray geometry and label all optical assumptions made along the ray path.

Answer 1

The site est cal from the fig. Sinero ang sino, - Sini => Sine, a ne sines na=2.0 and 12=ls then sino = 1.33% 2 Sine, 0,942 = 0,= 70,39 Á hence Des 90-70.39 = 19.619. let immerging angle be oz then sinez = hair Sinig.61 = 40.1356 1.5 = 0.223 > @z= 12.885"

(b) if n3=1.05 then sind, = 13 sin 45 Sin e = 0,495 (61= 29.7° = Oxs 29.7° nair hence Sin 23= 1 Sin 29.7 sings = 0,33 => 03= 19.26707