The Critical Fiber Optic Cable · AI Generator #GEN-9A273786

Physics · optics

Problem

A telecommunications engineer is designing a step-index optical fiber with a glass core of refractive index n1=1.52n_1 = 1.52 and a cladding of refractive index n2=1.48n_2 = 1.48. The fiber must be able to guide light when submerged in water (nwater=1.33n_{\text{water}} = 1.33) for underwater communication cables. (a) What is the numerical aperture (NA) of this fiber when operated in air (n0=1.00n_0 = 1.00)? (b) What is the numerical aperture when the fiber is submerged in water? (c) The fiber cable accidentally gets a crack, exposing the core directly to water over a small section. What is the minimum refractive index the cladding must have to ensure total internal reflection still occurs at the core-cladding interface when water surrounds the core?

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