(Figure 1) depicts a light ray entering an optical fiber from air and being tran

Question

(Figure 1) depicts a light ray entering an optical fiber from air and being transmitted through the fiber by total internal reflection.

Part A

If the index of refraction of the fiber is n, what is the maximum value of , the angle the entering ray makes with the normal to the flat end of the fiber, for which total internal reflection occurs?

Express your answer in terms of n.

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Part B

When n is greater than a certain value n0 the light ray can enter the fiber at any angle between 0 and 90 and total internal reflection still occurs inside the fiber. What is n0?

Express your answer using three significant figures.

(Figure 1) depicts a light ray entering an optical fiber from air and being transmitted through the fiber by total internal reflection.

Part A

If the index of refraction of the fiber is n, what is the maximum value of , the angle the entering ray makes with the normal to the flat end of the fiber, for which total internal reflection occurs?

Express your answer in terms of n.

=

SubmitMy AnswersGive Up

Part B

When n is greater than a certain value n0 the light ray can enter the fiber at any angle between 0 and 90 and total internal reflection still occurs inside the fiber. What is n0?

Express your answer using three significant figures.

n0 =

Explanation / Answer

a) ni *• sine(i) = n • sine (r)

ni • sine(crit) = n • sine(90 degrees)

ni • sine(crit) = n

sine(crit) = n/ni

crit= sine-1 (n/ni) = invsine (n/ni)

where n = index of refraction of the fiber and ni = index of refraction of the air

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