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

Optics Express
Jason P Moore, Matthew D Rogge

Abstract

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%.

References

Mar 28, 2003·Optics Letters·G M H FlockhartI Bennion

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Citations

Nov 5, 2016·IEEE Transactions on Bio-medical Engineering·Chaoyang ShiHongliang Ren
Sep 8, 2019·International Journal of Computer Assisted Radiology and Surgery·Sonja JäckleTorben Pätz
Jul 2, 2017·Scientific Reports·Joel VillatoroRodrigo Amezcua-Correa
Sep 16, 2020·Optics Letters·Raja AhmadPaul S Westbrook
Sep 25, 2020·Sensors·Demetrio SartianoSalvador Sales
Nov 10, 2016·Optics Express·Zhiyong ZhaoLuc Thévenaz
Nov 7, 2019·Optics Express·David BarreraSalvador Sales
May 10, 2020·International Journal of Computer Assisted Radiology and Surgery·Sonja JäckleTorben Pätz
Oct 2, 2019·Sensors·Oleg V ButovIgor' A Shevtsov
Mar 4, 2020·Optics Express·Angeliki ZafeiropoulouGilberto Brambilla
Aug 16, 2016·Optics Letters·Lukasz SzostkiewiczTomasz Nasilowski
Aug 17, 2021·Frontiers in Robotics and AI·Omar Al-AhmadEmmanuel Vander Poorten
Sep 5, 2021·The International Journal of Medical Robotics + Computer Assisted Surgery : MRCAS·Sonja JäckleTobias Preusser

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