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Updated: Jul 15, 2026

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A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
Published on: September 30, 2019
Modeling, design, fabrication, and testing of a fiber Bragg grating strain sensor array.
Abdeq M Abdi1, Shigeru Suzuki, Axel Schülzgen
1Saada Optical, LLC, Saint Louis, Missouri 63110, USA. abdeqa@aim.com
Applied Optics
|April 21, 2007
Summary
This study demonstrates a novel fiber Bragg grating strain sensor array (FBGA) interrogated using coherent optical frequency domain reflectometry (C-OFDR). The system shows good agreement between simulation and experimental results, with a peak strain error of 18% compared to electric strain gauges.
Area of Science:
- Fiber optics
- Optical sensing technologies
- Strain measurement systems
Background:
- Traditional strain measurement methods can be limited in scope and accuracy.
- Fiber Bragg Gratings (FBGs) offer a promising alternative for precise strain detection.
- Coherent Optical Frequency Domain Reflectometry (C-OFDR) provides high-resolution interrogation capabilities.
Purpose of the Study:
- To model, design, simulate, fabricate, calibrate, and test a three-element fiber Bragg grating array (FBGA) using C-OFDR.
- To validate the system's performance against established electric strain gauges (ESGs).
- To demonstrate the efficacy of the transfer matrix method for system-wide FBGA-C-OFDR modeling.
Main Methods:
- Utilized in-house software with transfer matrices for FBGA-C-OFDR system simulation.
- Fabricated the FBGA by imprinting the design into photosensitive fiber using the phase mask technique.
- Employed a fiber optic Fabry-Perot interferometric (FPI) strain gauge calibrator for nondestructive FBG calibration.
- Tested the FBGA on a cantilever beam, interrogating with a tunable laser and verifying with ESGs.
Main Results:
- Achieved a peak strain error of 18% when comparing FBGA measurements to ESG data.
- Demonstrated good agreement between simulation predictions and experimental outcomes.
- Successfully calibrated the FBGA using a nondestructive FPI method.
Conclusions:
- The developed FBGA system interrogated with C-OFDR is a viable method for strain measurement.
- The transfer matrix method provides an effective system-wide approach for modeling such optical sensing systems.
- Further validation and refinement can enhance the accuracy and applicability of this FBGA-C-OFDR technology.
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