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Light propagates down a light fiber by reflecting off the walls.

a) Assuming that the fiber has an index of refraction of $n = 1.4$, what is the critical angle of incidence such that light will remain trapped in the fiber?

b) Indicate how you think light might be polarized in the fiber after propagating a few meters (and bouncing several times off the walls). Show the polarization direction(s) in cross section. Indicate WHY you think the light would be polarized that way.