Home work 2 Dr. Lin, Shi-Mu 10/11/2012 1. Problem 3.3 Find the wavelength, frequency, and speed of light with vacuum wavelength 633 nm when it enters a region where the index of refraction is equal to 1.52. 2. Problem 3.5 Find values of rs, ts, rp, and tp for normal incidence when the incident medium is water (ni = 1.33) and the transmitted medium is glass with nt = 1.55. Repeat the calculation for internal incidence. 3. Problem 3.7 Derive Equations 3.31 and 3.32. 4. Problem 3.9 Find rs, ts, rp, and tp for _i = 30_ when the incident medium is water (n = 1.33) and the transmitted medium has index of refraction 1.50. Repeat the calculation for internal incidence. Example 3.5 Example 3.6 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 5. Problem 3.11 Find the critical angle for total internal reflection at an air/glass(n = 1.50) interface. Repeat for an air/diamond(n = 2.42) interface. 6. Problem 3.13 Repeat the plots of Example 3.7 when the glass is replaced by diamond (n = 2.42). 7. Problem 3.15 A glass block having an index of 1.68 is covered with a layer of plastic whose index is 1.46. What is the critical angle for total internal reflection? 8. Problem 3.17 Glass of index 1.50 is immersed in air. If the angle of incidence is 55_ , find the total internal reflection phase shift difference between Ep and Es polarization. 9. Problem 3.19 Plot the phase difference Δψ = ψp −ψs vs. θi > θc for internal incidence on a water/air interface.