Abstract
This article presents the derivation of a finite element formulation for the calculation of the spectral response of a fiber Bragg grating sensor embedded in a host material system. The formulation is based on a 3D/2D element for which the local fiber propagation constants are calculated from the optical and geometric properties in the plane perpendicular to light propagation. Afterwards, a modified transfer matrix can be applied to calculate the Bragg wavelength shifts in each of the principle optical axes for the grating. The effects of axial strain, transverse strain, and fiber curvature can be implemented into the formulation. This novel approach permits the prediction of the sensor response when the sensor is embedded in a complicated material system for which analytical or approximate solutions do not accurately predict the strain state in the sensor. A numerical example demonstrating the response of the senor to diametrical compression is presented to verify the formulation.
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Prabhugoud, M., Peters, K. (2005). Birefringence and Transverse Strain Sensitivity in Bragg Grating Sensors. In: Ansari, F. (eds) Sensing Issues in Civil Structural Health Monitoring. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3661-2_43
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DOI: https://doi.org/10.1007/1-4020-3661-2_43
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3660-6
Online ISBN: 978-1-4020-3661-3
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