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Related Experiment Video

Updated: May 25, 2026

A Silicon-tipped Fiber-optic Sensing Platform with High Resolution and Fast Response

A Silicon-tipped Fiber-optic Sensing Platform with High Resolution and Fast Response

Published on: January 7, 2019

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

Jason P Moore¹, Matthew D Rogge

¹NASA Langley Research Center, Hampton, Virginia 23681, USA. jason.p.moore@nasa.gov

|February 15, 2012

Summary

This summary is machine-generated.

This study introduces a new method to calculate the 3D shape of multi-core optical fibers using Frenet-Serret equations and strain measurements. The technique provides a continuous solution with a maximum error of 7.2%.

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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Area of Science:

Optoelectronics
Fiber Optics
Applied Mathematics

Background:

Accurate characterization of multi-core optical fiber (MCF) geometry is crucial for advanced photonic applications.
Previous methods often approximate fiber shape using discrete planar bends, limiting precision for complex 3D structures.

Purpose of the Study:

To develop and validate a novel numerical method for calculating the continuous three-dimensional shape of MCFs.
To leverage distributed fiber Bragg grating (FBG) strain measurements for precise shape reconstruction.

Main Methods:

Numerically solving a set of Frenet-Serret equations that describe the fiber's path in 3D space.
Incorporating curvature and bending direction functions derived from FBG strain data collected from each core.
Validating the method using a tri-core optical fiber sample.

Main Results:

The developed method successfully calculates the complex 3D shape of the MCF as a continuous parametric solution.
Error analysis on a tri-core fiber demonstrated a maximum error of 7.2% relative to the fiber length.
The approach offers improved accuracy over methods relying on integrated discrete planar bends.

Conclusions:

The numerical solution of Frenet-Serret equations based on FBG strain measurements provides an effective and accurate method for determining MCF 3D shape.
This continuous parametric approach enhances the precision and utility of MCF characterization for research and development.