A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields

Despite recent publications, the strain transfer in distributed optical fiber sensors is still often overlooked and poorly understood. In the first part of this paper, strain transfer is shown to be driven by a second-order differential equation, whether the optical fiber is embedded into the host m...

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Main Authors: Xavier Chapeleau, Antoine Bassil
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/16/5423
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author Xavier Chapeleau
Antoine Bassil
author_facet Xavier Chapeleau
Antoine Bassil
author_sort Xavier Chapeleau
collection DOAJ
description Despite recent publications, the strain transfer in distributed optical fiber sensors is still often overlooked and poorly understood. In the first part of this paper, strain transfer is shown to be driven by a second-order differential equation, whether the optical fiber is embedded into the host material or surface-mounted. In this governing equation, only the value of a key parameter, called strain lag parameter, varies according to the attachment configuration and the type of optical fiber used as a sensor. Then, a general solution of the governing equation is proposed. It is an analytical expression established from new boundary conditions that are more adequate than those used previously in the literature and allows the determination of the strain profile in the core of a distributed optical fiber sensor under any arbitrary strain fields. This general solution has been validated by two experiments presented in the third part of the paper. A very good agreement between the analytical solutions and measured strain profiles using a high spatial resolution optical interrogator for both uniform and non-uniform strain fields has been obtained. These results highlight the importance of the strain lag parameter which must be taken into account for a correct interpretation of measurements, especially in the case of important strain gradients.
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spelling doaj.art-f8ad9c8239f646e19488141b4cf393752023-11-22T09:39:31ZengMDPI AGSensors1424-82202021-08-012116542310.3390/s21165423A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain FieldsXavier Chapeleau0Antoine Bassil1COSYS-SII, I4S Team (Inria), Université Gustave Eiffel, Allée des Ponts et Chaussées, 44344 Bouguenais, FranceQuadric, 14 Porte du Grand Lyon, 01700 Neyron, FranceDespite recent publications, the strain transfer in distributed optical fiber sensors is still often overlooked and poorly understood. In the first part of this paper, strain transfer is shown to be driven by a second-order differential equation, whether the optical fiber is embedded into the host material or surface-mounted. In this governing equation, only the value of a key parameter, called strain lag parameter, varies according to the attachment configuration and the type of optical fiber used as a sensor. Then, a general solution of the governing equation is proposed. It is an analytical expression established from new boundary conditions that are more adequate than those used previously in the literature and allows the determination of the strain profile in the core of a distributed optical fiber sensor under any arbitrary strain fields. This general solution has been validated by two experiments presented in the third part of the paper. A very good agreement between the analytical solutions and measured strain profiles using a high spatial resolution optical interrogator for both uniform and non-uniform strain fields has been obtained. These results highlight the importance of the strain lag parameter which must be taken into account for a correct interpretation of measurements, especially in the case of important strain gradients.https://www.mdpi.com/1424-8220/21/16/5423fiber optics sensorsstrain transferdistributed strain measurements
spellingShingle Xavier Chapeleau
Antoine Bassil
A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields
Sensors
fiber optics sensors
strain transfer
distributed strain measurements
title A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields
title_full A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields
title_fullStr A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields
title_full_unstemmed A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields
title_short A General Solution to Determine Strain Profile in the Core of Distributed Fiber Optic Sensors under Any Arbitrary Strain Fields
title_sort general solution to determine strain profile in the core of distributed fiber optic sensors under any arbitrary strain fields
topic fiber optics sensors
strain transfer
distributed strain measurements
url https://www.mdpi.com/1424-8220/21/16/5423
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