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Tarea 2 Cristian Parra Alvial Elo 352: Comunicaciones por fibra óptica Profesor: Ricardo Olivares Fecha: 10/10/2017 Prob

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Tarea 2 Cristian Parra Alvial Elo 352: Comunicaciones por fibra óptica Profesor: Ricardo Olivares Fecha: 10/10/2017 Problema 2.1 A multimode fiber with a 50-µm core diameter is designed to limit the intermodal dispersion to 10 ns/km. What is the numerical aperture of this fiber? What is the limiting bit rate for transmission over 10 km at 0.88 µm? Use 1.45 for the refractive index of the cladding. Δ𝑡 𝑛1 − 𝑛2 𝑛1 𝑛1 − 𝑛2 = ⋅ ≈ 𝐿 𝑐 𝑛2 𝑐 Δ𝑡 𝑛𝑠 = 10 [ ] 𝐿 𝑘𝑚 𝑠 10 ⋅ 10−9 [𝑚] 𝑚 𝑛1 = ⋅ 3 ⋅ 108 [ ] + 𝑛2 = 1,453 1000 𝑠 𝐴𝑁 = √𝑛12 − 𝑛22 = 0,0933 Δ=

𝑛1 − 𝑛2 = 2,06 ⋅ 10−3 𝑛1 𝐵𝐿