A thin-film waveguide is characterized by the following parameters: n1 = 1, n2 = 1.5 and n3 =1.462.The waveguide thickness = 0.9 μm. The fundamental TE mode of the waveguide is excited by coupling the...

A thin-film waveguide is characterized by the following parameters: n1 = 1,

n2 = 1.5 and n3 =1.462.The waveguide thickness = 0.9 μm. The fundamental

TE mode of the waveguide is excited by coupling the beam from a He-Ne laser

(λ0 = 6328A) through a prism having np = 2.25.

(a) What is the required angle of incidence of the light at the interface

between the prism and the waveguide (inside the prism) if the effective

index of refraction for the above mode is neff =1.481?

(b) For the mode and waveguide described above, what is the bounce angle

if the mode is represented by the ray optic method?