Reconstruction of strains with a non-smooth distribution and temperature using optical fiber Bragg grating

Małgorzata Detka, Cezary Kaczmarek


This paper presents a simulation study of the simultaneous reconstruction of the non-smooth strain distribution of an optical fiber Bragg grating and its temperature, which is based on the reflection spectrum of the reflected beam of the grating. The transition matrix method was used to model the reflection spectrum of the grating, and the nonlinear Nelder-Mead optimization method was used to simultaneously reconstruct the strain distribution along the grating and its temperature. The results of simulations of simultaneous reconstruction of the strain profile and temperature indicate good accord with the strain profiles and temperature set. The reconstruction errors of the strain profiles are less than 1.2 percent and the temperature change errors are less than 0.2 percent, with a noise level of 5 percent.

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R. M. Andre, M. B. Marques, P. Roy, and O. Frazao, “Fiber loop mirror using a small core microstructured fiber for strain and temperature discrimination”, IEEE Photon. Technol. Lett. 22 (15), 1120–1122 (2010).

P. S. Reddy, R.L.N. Sai Prasad, D. Sen Gupta, M. Sai Shankar, K. Srimannarayana, U. Tiwwari, and V. Mishra, “A simple FBG sensor for strain-temperature discrimination”, Microw. and Opt. Technol. Lett.. 53 (5), 1021–2024 (2011).

P. Liu, and Y. Shi, “Simultaneous measurement of refractive index and temperature using cascaded side-coupled photonic crystal nanobeam cavities”, Optics Express, 25 (23), 28398–28406 (2017).

T. Osuch, T. Jurek, K. Markowski,and K. Jędrzejewski, “Simultaneous measurement of liquid level and temperature using tilted fiber Bragg grating”, IEEE Sensors J., 16 (5), 1205–1209 (2016).

Z. Yang, H. Xu, K. Ni, X. Dong, “Simultaneous measurement of force and temperature with a single FBG partially encapsulated with a metal canulla”, Microw. Opt. Technol. Lett., 53, 1656–1658 (2011).

L. Htein, D. S. Gunawardena, Z. Liu, and H-Y. Ibid., “Two semicircular-hole fiber in a Sagnac loop for simultaneous discrimination of torsion, strain and temperature”, Opt. Express, 28 (23/9), 33841-33853 (2020).

M. Detka, “Reconstruction of strains with a non-smooth distribution using optical fiber Bragg grating”, Optical Fiber Technology, 62 (9), (2021).

M. Detka, Z. Kaczmarek, “Distributed strain reconstruction based on a fiber Brag grating reflection spectrum”, Metrol Meas Syst., 20, 53-64 (2013).

Ch. Song, J. Zhang, M. Yang, E. Shang and J. Zhang, “Reconstruction of fiber Bragg grating strain profile used to monitor the stiffness degradation of the adhesive layer in carbon fiber-reinforced plastic single-lap joint”, Advances in Mech. Eng. 9 (3), 1-10, (2017).

S. Zhang, N. Zhang, Y. Xia, H. Wang, “Research on non-uniform strain profile reconstruction along fiber Bragg grating via genetic programming algorithm and interrelated experimental verification”, Opt. Commun., 315, 338-346 (2014).

Z. Wang, J. Wang, Q. Sui, L. Jia, “The simultaneous measurement of temperature and mean strain based on the distorted spectra of half-encapsulated fiber Bragg gratings using improved particle swarm optimization”, Opt. Commun. 392, 153–161 (2017).

Erdogan T., “Fiber grating spectra”, J. Lightwave Technol. 15 (8), 1277-1294 (1997).

Othonos T. A., Kalli K., “Fiber Bragg Grating: Fundamentals and Applications in Telecommunications and Sensing”, Artech House, Boston, London, (1999).

Lagaris J. C., Reeds J. A. Wright M. H., Wright P. E., “Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions”, Siam J., Optimizat., 9 (1), 112-147 (1998).


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