2D and 3D Shape Sensing Based on 7-Core Fiber Bragg Gratings

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2D and 3D Shape Sensing Based on 7-Core Fiber Bragg Gratings Tianting LAI, Pu CHENG, Congliao YAN, Chi LI, Wenbin HU*, and Minghong YANG* National Engineering Laboratory for Fiber Optic Sensing Technology, Wuhan University of Technology, Wuhan 430070, China *

Corresponding authors: Minghong YANG and Wenbin HU

E-mail: [email protected] and

[email protected]

Abstract: A fiber-optic shape sensing based on 7-core fiber Bragg gratings (FBGs) is proposed and experimentally demonstrated. The investigations are presented for two-dimensional and three-dimensional shape reconstruction by distinguishing bending and twisting of 7-core optical fiber with FBGs. The curvature and bending orientation can be calculated by acquiring FBG wavelengths from any two side cores among the six outer cores. And the shape sensing in three-dimensional (3D) space is computed by analytic geometry theory. The experiments corresponding of two-dimensional (2D) and 3D shape sensing are demonstrated and conducted to verify the theoretical principles. The resolution of curvature is about 0.1 m–1 for 2D measuring. The error of angle in shape reconstruction is about 1.89° for 3D measuring. The proposed sensing technique based on 7-core FBGs is promising of high feasibility, stability, and repeatability, especially for the distinguishing ability on the bending orientation due to the six symmetrical cores on the cross-section. Keywords: Shape sensing; fiber Bragg gratings; multi-core fiber Citation: Tianting LAI, Pu CHENG, Congliao YAN, Chi LI, Wenbin HU, and Minghong YANG, “2D and 3D Shape Sensing Based on 7-Core Fiber Bragg Gratings,” Photonic Sensors, DOI: 10.1007/s13320-020-0579-0.

1. Introduction Shape sensing is of great practical significance in the safety monitoring of buildings and aircrafts, human motion monitoring, intelligent robot posture monitoring, intelligent material deformation monitoring, and other fields [1–3]. Shape sensing technology consists of two main categories, electrics and optics, both of which are realized by indirect or direct sensing via stress and strain measuring [4]. The fiber optic shape sensors (FOSSs), including fiber Bragg grating (FBG) on the multicore optical fiber (MCF) and optical

frequency domain reflectometry (OFDR), attract more interest due to their inherent ability for distributed sensing [5–8]. The FOSSs based on the OFDR technique on normal fibers and fibers with continuous grating have been proposed [9–11]. The curvature sensitivity and spatial resolution for distributed shape sensing have been investigated [12]. In order to overcome the limitation of curvature measurement of single-core grating, in recent years, multi-core fiber has been used to measure shape, and the research of curvature sensing has attracted more and more attention [13–18]. In 2000, Flockhart used multi-core gratings

Received: 27 November 2019 / Revised: 09 January 2020 © The Author(s) 2020. This article is published with open access at Springerlink.com DOI: 10.1007/s13320-020-0579-0 Article type: Regular

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