(a) Find the minimum required thickness for a planar slab waveguide with
index of refraction = 3.5 on a substrate with index = 3.38 if it is to support the propagation of the lowest order TE mode of light with a vacuum
wavelength 880 nm. The medium surrounding the waveguide and substrate
is air.
(b) It the thickness of the waveguide were increased above its minimum value
by a factor of 2, and all other parameters remained unchanged, how many
TE modes could be supported?
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