Homework 2 (due 2/27/02)
- Derive the phase change of a plane wave
undergoing total internal reflection from
a medium with index of
refraction n1 to a medium with n2 (n1>n2).
(This is the first equation on page 2 of the 2/20/02 handout).
Note that the angle q
is defined from the plane, not from the normal to the plane. You may want to
use the equations derived in Jackson directly.
the planar dielectric waveguide, consider the example with d=10mm,
n1=3.5, n2=3.45, and the wavelength in vacuum is 0.9mm.
Calculate all the allowed modes, the
phase velocity and the group velocity of each mode.
(you may want to write a simple
code to get the answers).