Signal statistics of phase dependent optical time domain reflectometry

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Title: Signal statistics of phase dependent optical time domain reflectometry
Author: Wojcik, Aleksander Karol
Abstract: The statistics of the phase dependent optical time -domain reflectometer have been analyzed . The optical fiber is modeled by the use of a discrete set of reflectors positioned randomly along the fiber . The statistics of the reflected light from a traveling pulse are derived . The statistics of the signal are used to calculate the characteristics of shot noise in the photodetector , and the probability that noise of certain intensity will occur . An estimation of the backscattered power is made by calculating the fraction of the backscattered power that is captured in a guiding mode . Upper power limits are calculated by considering nonlinear optical effects . An estimation of noise from thermally excited sound waves , amplified by Brillouin scattering , is derived . This noise considers the parameters of a photodetector , giving a model for the noise in the measurable photocurrent . Two models are used to describe the fading probability of the signal . The first model , based on the Fabry -Perot interferometer with a random phase perturbation in the middle , is used to calculate the probability that the whole signal vanishes for any value of phase perturbation . The second model , by calculating the correlation between two signals , one perturbed and one unperturbed , predicts the fading of the signal of interest . The present work gives the theoretical basis for the phase dependant Optical Time Domain Reflectometry , allowing its optimization and setting the fundamental limitations to the performance of the system .
URI: http : / /hdl .handle .net /1969 .1 /4873
Date: 2007-04-25

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Signal statistics of phase dependent optical time domain reflectometry. Available electronically from http : / /hdl .handle .net /1969 .1 /4873 .

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