Slope-assisted Raman distributed optical fiber sensing

Jian Li; Xinxin Zhou; Yang Xu; Lijun Qiao; Jianzhong Zhang; Mingjiang Zhang

doi:10.1364/PRJ.442352

Journals >Photonics Research >Volume 10 >Issue 1 >Page 205 > Article

Photonics Research
Vol. 10, Issue 1, 205 (2022)

Slope-assisted Raman distributed optical fiber sensing

Jian Li^1、2, Xinxin Zhou², Yang Xu², Lijun Qiao², Jianzhong Zhang¹, and Mingjiang Zhang^1、2、*

Author Affiliations

¹College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China

²Key Laboratory of Advanced Transducers and Intelligent Control Systems (Ministry of Education and Shanxi Province), Taiyuan University of Technology, Taiyuan 030024, China

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DOI: 10.1364/PRJ.442352 Cite this Article Set citation alerts

Jian Li, Xinxin Zhou, Yang Xu, Lijun Qiao, Jianzhong Zhang, Mingjiang Zhang. Slope-assisted Raman distributed optical fiber sensing[J]. Photonics Research, 2022, 10(1): 205 Copy Citation Text

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Abstract

Raman distributed optical fiber sensing is required to achieve accurate temperature measurements in a micro-scale area. In this study, we first analyze and demonstrate the pulse transmission feature in the temperature variation area and the superposition characteristics of Raman optical time-domain reflectometry (OTDR) signals by numerical simulation. The equations of superimposed Raman anti-Stokes scattered signals at different stages are presented, providing a theoretical basis for the positioning and physical quantity demodulation of whole optical fiber systems based on the OTDR principle. Moreover, we propose and experimentally demonstrate a slope-assisted sensing principle and scheme in a Raman distributed optical fiber system. To the best our knowledge, this is the first experimental demonstration of Raman distributed optical fiber sensing in a centimeter-level spatial measurement region.

ϕ_{a} (L_{A B}) = \sum_{L_{f} = L_{s}}^{L_{f}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{non - FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} .

(1)

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ϕ_{a} (L_{B C}) = \sum_{L_{i} = L_{s}}^{L_{m}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} + \sum_{L_{i} = L_{m}}^{L_{f}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{non - FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} .

(2)

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ϕ_{a} (L_{C D}) = \sum_{L_{i} = L_{s}}^{L_{f}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} .

(3)

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ϕ_{a} (L_{D E}) = \sum_{L_{i} = L_{s}}^{L_{m}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{non - FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} + \sum_{L_{i} = L_{m}}^{L_{f}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} .

(4)

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ϕ_{a} (L_{i}) = \sum_{i = L_{s 1}}^{L_{m}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{non - FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} + \sum_{i = L_{m}}^{L_{f 1}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{FUT}) \times \exp [- (α_{o} + α_{a})] L_{i}} .

(5)

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ϕ_{a} (L_{i + 1}) = \sum_{i = L_{s 2}}^{L_{m}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{non - FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} + \sum_{i = L_{m}}^{L_{f 2}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{FUT}) \times \exp [- (α_{o} + α_{a}) L_{i}]} .

(6)

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ϕ_{a o} (L_{i}) = \sum_{i = L_{s}}^{L_{f}} {K_{a} λ_{a}^{- 4} P \times R_{a} (T_{o}) \times \exp [- (α_{o} + α_{a}) L_{i}]} .

(7)

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\frac{ϕ_{a} (L_{i})}{ϕ_{a o} (L_{i})} = \sum_{L_{s 1}}^{L_{m}} [\frac{R_{a} (T_{non - FUT})}{R_{a} (T_{o})}] + \sum_{L_{m}}^{L_{f 1}} [\frac{R_{a} (T_{FUT})}{R_{a} (T_{o})}] = \sum_{L_{s 1}}^{L_{m}} [\frac{\exp (h Δ v / k T_{o} - 1)}{\exp (h Δ v / k T_{non - FUT} - 1)}] + \sum_{L_{m}}^{L_{f 1}} [\frac{\exp (h Δ v / k T_{o} - 1)}{\exp (h Δ v / k T_{FUT} - 1)}],

(8)

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\frac{ϕ_{a} (L_{i + 1})}{ϕ_{a o} (L_{i + 1})} = \sum_{L_{s 2}}^{L_{m}} [\frac{R_{a} (T_{non - FUT})}{R_{a} (T_{o})}] + \sum_{L_{m}}^{L_{f 2}} [\frac{R_{a} (T_{FUT})}{R_{a} (T_{o})}] = \sum_{L_{s_{2}}}^{L_{m}} [\frac{\exp (h Δ v / k T_{o} - 1)}{\exp (h Δ v / k T_{non - FUT} - 1)}] + \sum_{L_{m}}^{L_{f 2}} [\frac{\exp (h Δ v / k T_{o} - 1)}{\exp (h Δ v / k T_{FUT} - 1)}] .

(9)

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ϕ_{slope} = \frac{\frac{ϕ_{a} (L_{i + 1})}{ϕ_{a o} (L_{i + 1})} - \frac{ϕ_{a} (L_{i})}{ϕ_{a o} (L_{i})}}{L_{i + 1} - L_{i}} = \frac{\sum_{L_{s 1}}^{L_{s 2}} [\frac{\exp (h Δ v / k T_{o} - 1)}{\exp (h Δ v / k T_{non - FUT} - 1)}]}{L_{i + 1} - L_{i}} - \frac{\sum_{L_{f 1}}^{L_{f 2}} [\frac{\exp (h Δ v / k T_{o} - 1)}{\exp (h Δ v / k T_{FUT} - 1)}]}{L_{i + 1} - L_{i}},

(10)

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Jian Li, Xinxin Zhou, Yang Xu, Lijun Qiao, Jianzhong Zhang, Mingjiang Zhang. Slope-assisted Raman distributed optical fiber sensing[J]. Photonics Research, 2022, 10(1): 205

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