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Optical characteristic research on fiber Bragg gratings utilizing finite element and eigenmode expansion methods
1Electronic Engineering Department, National Chin-Yi University of Technology, Taichung 41170, Taiwan. yuejing@ncut.edu.tw.
Sensors (Basel, Switzerland)
|June 21, 2014
Summary
A new method combining FEM and EEM simplifies optical fiber Bragg grating (FBG) analysis. This approach offers superior 3D design capabilities and accurate wavelength control compared to coupled-mode theory (CMT).
Area of Science:
- Photonics and Optical Engineering
- Computational Electromagnetics
Background:
- Coupled-mode theory (CMT) is the standard for optical fiber Bragg grating (FBG) analysis.
- Existing methods lack 3D design capabilities and precise wavelength control.
Purpose of the Study:
- To introduce a novel, simplified, and visualized investigation scheme for FBGs.
- To overcome limitations of CMT in FBG design and analysis.
- To enable accurate 3D design and analysis of large periodic components.
Main Methods:
- Combines the Finite Element Method (FEM) for mode calculation and power propagation.
- Integrates the Eigenmode Expansion Method (EEM).
- Utilizes rapid period scanning for precise wavelength control.
Main Results:
- The proposed FEM-EEM scheme provides superior visualization and simplicity over CMT.
- Achieves accurate maximal reflection wavelength matching the designed operating wavelength (e.g., 1550 nm).
- Demonstrates an inverse relationship between FBG periods and wavelengths, enabling spectral prediction.
Conclusions:
- The FEM-EEM method is the only current technique for 3D design and analysis of large periodic components.
- Reduces the time and expertise required for FBG research and application.
- Enables accurate prediction of FBG spectra, streamlining the design process.

