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A large-core multimode SI fiber is excited by a surface emitting LED. The fiber's NA is 0.2.
The LED's output is 5mW. The fiber's loss is 4dB/Km. Compute the power in the fiber at 1m,
1Km, and 10km. Repeat this problem if the fiber now has NA=0.5 and a loss of 500dB/km.
Solution
In any fiber optic interconnection, some loss occurs. Insertion loss for a connector or splice is the
difference in power that you see when you insert the device into the system. For example, take a
length of fiber and measure the optical power through the fiber. Note the reading (P1). Now cut
the fiber in half, terminate the fibers and connect them, and measure the power again. Note the
second reading (P2). The difference between the first reading (P1) and the second (P2) is the
insertion loss, or the loss of optical power that occurs when you insert the connector into the line.
This is measured as:
IL (dB) = 10 Log 10 (P2 / P1)
LNA = 10 Log 10 (NAr/NAt) 2

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