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Updated: Jun 20, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
Published on: September 30, 2019
Analytical solution of four-mode coupling in shear strain loaded fiber Bragg grating sensors
Mathias S Müller1, Hala J El-Khozondar, Thorbjörn C Buck
1Institute for Measurement Systems and Sensor Technology, Technische Universität München, Theresienstrasse 90/N5, 80333 Munich, Germany. m.s.mueller@tum.de
Abstract:
The polarization-dependent reflection spectra of fiber Bragg grating (FBG) sensors in polarization-maintaining fibers are influenced by shear strain. This influence can be evaluated from a tensorial coupled-mode theory approach. Yet, this approach requires the numerical integration of the four coupled-mode equations. We present an easy to handle, completely analytical treatment of the polarization-dependent reflection spectra of FBGs. We derive the required equations and compare the results to the numerical integration of the four tensorial coupled mode equations.
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