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A signal is retrieved at the optical fiber end whose power is half that of the input power. Calculate the loss in fiber. Also, calculate the output power if the loss is $30 \mathrm{~dB} / \mathrm{km}$
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Solution:

We know that the attenuation in optical fiber is,

$ A=\left(\frac{10}{L}\right) \log \frac{P_i}{P_f} \mathrm{~dB} / \mathrm{km}\\ $

where $P_f$ is the input power and $P_f$ is the power remaining after length $L \mathrm{~km}$ has been traversed.

or, the power loss in fiber can be written as $A=10 \log \left(\frac{P_i}{P_f}\right) …

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