A laser beam at a wavelength of 1.11 μm is coupled into an optic fiber, resulting in 138.2 mW of light inside the fiber initially. The fiber is 4.75 km long and has an absorption coefficienct of 1.562 dB/km. What light power, in mW, is at the end of the fiber?

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A laser beam at a wavelength of 1.11 μm is coupled into an optic fiber, resulting in 138.2 mW of light inside the fiber initially. The fiber is 4.75 km long and has an absorption coefficienct of 1.562 dB/km. What light power, in mW, is at the end of the fiber?

 
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As light travels through a fiber, the light gets attenuated due to losses in the fiber. These attenuations are mainly due to absorption of signals within the fiber, and other transmission losses.

These absorption losses in an optical fiber are defined in terms of an absorption coefficient, which is different for different fibers and is given by the formula

α=-10LlogPPoL is the length of the fiberPo is the input power entering the fiberP is the power of the signal after travelling the length L of the fiber

These absorption losses are measured in units of dB/km

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