College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 46

An optical fiber with index of refraction n and diameter d is surrounded by air. Light is sent into the fiber along its axis, as shown in Figure P22.52. (a) Find the smallest outside radius R permitted for a bend in the fiber if no light is to escape. (b) Does the result for part (a) predict reasonable behavior as d approaches zero As n increases As n approaches unity (c) Evaluate R , assuming the diameter of the fiber is 100 m and its index of refraction is 1.40.