2015
DOI: 10.1109/jlt.2015.2449085
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Fundamentals of Optical Fiber Sensing Schemes Based on Coherent Optical Time Domain Reflectometry: Signal Model Under Static Fiber Conditions

Abstract: The paper develops a statistical model for the signals received in phase-sensitive optical time domain reflectometry (OTDR) probed by highly coherent sources. The backscattering process is modelled by a set of discrete scatterers with properly chosen parameters. Explicit equations for calculating the amplitude and the phase of the backscattered signal are obtained. The developed model predicts spectral and autocorrelation characteristics of the amplitude signals that are validated by experimental results. Char… Show more

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Cited by 128 publications
(61 citation statements)
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“…[9]. In particular, the backscattering process is modelled by a set of discrete scatterers (reflectors) whose amplitude and phase are characterized as statistically independent random Gaussian variables, while their coordinates are deterministic (the random phase of the scatterers contributes to the final backscatter trace as if they had randomly distributed positions).…”
mentioning
confidence: 99%
“…[9]. In particular, the backscattering process is modelled by a set of discrete scatterers (reflectors) whose amplitude and phase are characterized as statistically independent random Gaussian variables, while their coordinates are deterministic (the random phase of the scatterers contributes to the final backscatter trace as if they had randomly distributed positions).…”
mentioning
confidence: 99%
“…Rayleigh scattering in a single-mode optical fiber can be described by a simplified model of effective discrete scatterers characterized by their axial positions x j along the fiber and their scattering amplitudes, where the typical spacing ∆x between the positions of neighboring scatterers is larger than an optical wavelength, ∆x λ [1]. Similarly, provided that fiber birefringence is sufficiently small, and assuming a polarization-insensitive optical detector, polarization effects can be neglected [1].…”
Section: Theorymentioning
confidence: 99%
“…Similarly, provided that fiber birefringence is sufficiently small, and assuming a polarization-insensitive optical detector, polarization effects can be neglected [1]. In the following we assume fully polarized, perfectly monochromatic light.…”
Section: Theorymentioning
confidence: 99%
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“…In typical time-domain configurations, a light pulse is sent into the fiber, and a small fraction of the incident light is backscattered towards the emitter. The time of flight of the light pulse in the fiber gives the localization of the backscatter, and the analysis of the local backscatter might reveal information of certain thermal and mechanical fiber properties [24]. Distributed optical fiber sensors have, so far, been demonstrated to be well-suited for the sensing of physical quantities such as temperature or strain.…”
Section: Introductionmentioning
confidence: 99%