Related Experiment Video
Updated: May 26, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
Published on: September 30, 2019
Error analysis and measurement uncertainty for a fiber grating strain-temperature sensor.
Jaw-Luen Tang1, Jian-Neng Wang
1Department of Physics, National Chung Cheng University, 168 University Road, Chia-Yi 62102, Taiwan. jawluen@phy.ccu.edu.tw
This study presents a fiber Bragg grating sensor for distinguishing temperature and strain. It details error analysis and measurement uncertainty, achieving high accuracy for simultaneous sensing applications.
Area of Science:
- Optoelectronics
- Fiber optic sensing technology
- Metrology
Background:
- Accurate simultaneous measurement of temperature and strain is crucial in various engineering applications.
- Existing fiber optic sensors often face challenges in decoupling temperature and strain effects.
- Fiber Bragg gratings (FBGs) are widely used but require advanced methods for dual-parameter sensing.
Purpose of the Study:
- To develop and validate a fiber grating sensor system capable of distinguishing between temperature and strain.
- To conduct a thorough theoretical and experimental analysis of the sensor's error and measurement uncertainty.
- To establish a reliable method for quantifying uncertainty in simultaneous strain-temperature sensing using FBGs.
Main Methods:
- Utilized a dual-wavelength fiber Bragg grating sensor configuration with a reference grating.
- Performed theoretical calculations and experimental measurements to assess sensor performance.
- Analyzed root mean squared errors and maximum errors for both temperature and strain.
- Estimated expanded uncertainty at a 95% confidence level using a coverage factor.
Main Results:
- The sensor demonstrated the ability to distinguish between temperature and strain.
- Measured root mean squared errors were 0.13 °C for temperature and 6 με for strain.
- Maximum error calculations provided bounds for temperature and strain measurements.
- Evaluated temperature and strain measurement uncertainties as 2.60 °C and 32.05 με, respectively.
Conclusions:
- Successfully demonstrated a fiber grating sensor for simultaneous strain and temperature measurement.
- Provided a comprehensive analysis of measurement uncertainty for this sensing system.
- This work represents a significant advancement in the field of dual-parameter fiber optic sensing.
Related Concept Videos
Measurements of Strain
Uncertainty in Measurement: Reading Instruments
Design Example: Strain Gauge Bridge or Wheatstone Bridge
Stress-Strain Diagram
Thermal Strain
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.

