Homework 3

Due: Monday, 2013 April 22

14. 9.17
15. 9.19
16. 9.20
17. 9.22
18. Unpolarized light is incident on a dielectric interface at the Brewster's angle. Show that the ratio of transmissivities is

T_t/T_p = [(n₁²+n₂²/(2n₁n₂)]²
where "t" stands for tangential and "p" stands for perpendicular.
19. Show that the fraction of light forming the primary bow of a rainbow is (1-R)²R where R is the reflectivity. Evaluate this expression for each polarization at the primary-bow angle. What is the absolute maximum this fraction can reach? Repeat the calculations for the secondary bow where the corresponding fraction is (1-R)²R²

Solutions.