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Unformatted text preview: HW 9 Phys5406 S10 due 4/15/10
1) An optical ﬁber has the shape of a right circular cylinder of transparent material of index
of refraction n.
a) If all light that enters one end face is to be transported to the other end face, what is the
minimum value of n = nmin ?
b) If n = 0.9nmin , what is the largest angle of incidence for which no light is lost?
c) Suppose the ﬁber is clad with a very thin coating of material n′ > n Show that the same
amount of light makes it to the other end as in part b.
d) Nevertheless such ﬁbers are clad and more light is collected. This is due to a special
property of cladding material that hasn’t been touched on. What do you think such property could be? 2) JDJ 7.2 (b) 3) JDJ 7.2 (b), but let n1 and n3 be reversed. 4) JDJ 7.3. I interpret the question to be that there are two cases i) EI = E , ii)EI = E⊥ .
Do parts a and b for each case. Don’t sketch as JDJ suggests, use Mathematica or something
else and plot the results. Use n=1.5 with critical angle 41.8 deg and plot your results for
incident angles = 42 and 45 deg. 1 ...
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