1) Consider a slab waveguide configuration. Using the following parameters: = 1550 nm (wavelength) nc = 1.10 nf = 2.55 ns = 1.94 1. Plot the effective index N (also called mode index) versus thickness T for both TE and TM modes, for thicknesses T between 0 and 5 m (microns). Plot all allowed modes. 2. How many TE modes and how many TM modes propagate for T = 1m? 3. How many TE modes and how many TM modes propagate for T = 4m? 4. What are the effective indices of first five TE and TM modes (m=0, 1, 2, 3, 4) at T = 9.00 m and what are the geometrical birefringence for each of the modes at that thickness? [Geometrical birefringence is the difference between TE and TM mode indices) nc T nf ns