title: Analytical solution of four-mode coupling in shear strain loaded fiber Bragg grating sensors.
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.
authors.affiliation: Institute for Measurement Systems and Sensor Technology, Technische Universität München, Theresienstrasse 90/N5, 80333 Munich, Germany. m.s.mueller@tum.de
authors.forename: Mathias S
authors.initials: MS
authors.lastname: Müller
authors.forename: Hala J
authors.initials: HJ
authors.lastname: El-Khozondar
authors.forename: Thorbjörn C
authors.initials: TC
authors.lastname: Buck
authors.forename: Alexander W
authors.initials: AW
authors.lastname: Koch