Coles Powell
10/14/2023 · Junior High School

When the mean optical power launched into an 8 km length of fiber is \( 120 \mu \mathrm{~W} \), the mean optical power at the fiber output is \( 3 \mu \mathrm{~W} \). Determine: a) The overall signal attenuation or loss in decibels through the fiber assuming there are no connectors or splices; b) The signal attenuation per kilometer for the fiber; c) The overall signal attenuation for a 10 km optical link using the same fiber with splices at 1 km intervals, each giving an attenuation of 1 dB ; d) The overall signal attenuation for a 20 km optical link using the same fiber with splices and connectors at 1 km intervals and 4 km intervals respectively, When each splice gives an attenuation of 1 dB and a connector giving an attenuation of 0.5 dB ; e) The numerical input/output power ratio in part (c) and part (d.)

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a) The overall signal attenuation through the fiber is 16.02 dB. b) The signal attenuation per kilometer for the fiber is 2.01 dB/km. c) The overall signal attenuation for a 10 km optical link is 20.1 dB. d) The overall signal attenuation for a 20 km optical link is 22.5 dB. e) The numerical input/output power ratio for a 10 km link is 12, and for a 20 km link is 120 μW / 10 μW × 10^-22.5.

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