2012
DOI: 10.1070/qe2012v042n01abeh014719
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Statistical properties of backscattered semiconductor laser radiation with different degrees of coherence

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Cited by 13 publications
(17 citation statements)
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“…The dispersion of the intensity (11) over the ensemble {ρ} is defined as a statistical average of the products of intensities taken for different realizations ρ minus the square of the mean intensity (13). This value defines the deviation of random backscattered intensity from the mean value (13) on transition from one statistical realization {ρ} to another.…”
Section: Contrastmentioning
confidence: 99%
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“…The dispersion of the intensity (11) over the ensemble {ρ} is defined as a statistical average of the products of intensities taken for different realizations ρ minus the square of the mean intensity (13). This value defines the deviation of random backscattered intensity from the mean value (13) on transition from one statistical realization {ρ} to another.…”
Section: Contrastmentioning
confidence: 99%
“…The theory of high-coherence OTDR is developed in numerous works, for instance [7][8][9][10][11][12][13][14]. Low-coherence OTDR has some features that are disclosed in the next section.…”
Section: Introductionmentioning
confidence: 99%
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“…Due to the random density fluctuations caused by limitations in the fiber fabrication, Rayleigh scattering occurs at statistically independent spatial positions along the fiber from the input (z 0 ) to the open port (z L ), and only a fraction of the scattered light is recaptured by the fiber at scattering angles close to π compared to that propagating in the opposite direction. It is worth mentioning that the instantaneous Rayleigh scattering amplitude at each scatter section fluctuates randomly in time, with a Gaussian distribution [18][19][20] . A backscattering coefficient Δρ (z i ) is used to measure the fraction of the scattered field from a section, and the coefficient Δρ(z i ) is a time-independent zeromean circular complex Gaussian random variable.…”
Section: Resultsmentioning
confidence: 99%
“…In general, quality of sensing systems for remote monitoring of extended objects is determined by its ability to detect perturbations caused by an activity near the sensor fiber within a background, where this background is formed both by external noises (e.g., seismic noises) and self-noises of the system. In order to maximize the rate of recognized (i.e., detected and classified) perturbations, Φ-OTDR based sensors have been studied throughout via numerical simulations [10][11][12][13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%