Figure P33.57 depicts a light ray entering an optical fiber from air and being transmitted through the

Question:

Figure P33.57 depicts a light ray entering an optical fiber from air and being transmitted through the fiber by total internal reflection.

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

(b) When \(n\) is greater than a certain value \(n_{0}\), the light ray can enter the fiber at any angle \(\theta\) between 0 and \(90^{\circ}\) and total internal reflection still occurs inside the fiber. What is \(n_{0}\) ?

Data from Figure P33.57

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