Shape sensing using multi-core fiber optic cable and parametric curve solutions

作者：Jason P. Moore, Matthew D. Rogge · 发表于：Optics Express · 年份：2012 · DOI：10.1364/oe.20.002967 · 被引用次数：392 · 研究领域：Advanced Fiber Optic Sensors、Photonic and Optical Devices、Optical measurement and interference techniques

The shape of a multi-core optical fiber is calculated by numerically solving a set of Frenet-Serret equations describing the path of the fiber in three dimensions. Included in the Frenet-Serret equations are curvature and bending direction functions derived from distributed fiber Bragg grating strain measurements in each core. The method offers advantages over prior art in that it determines complex three-dimensional fiber shape as a continuous parametric solution rather than an integrated series of discrete planar bends. Results and error analysis of the method using a tri-core optical fiber is presented. Maximum error expressed as a percentage of fiber length was found to be 7.2%.