title: Analytical coherency matrix treatment of shear strained fiber Bragg gratings.
abstract: Reconstruction of the strain tensor at the position of an embedded fiber Bragg grating sensor has been the goal of recent research. However, ambiguities in the measurand--the polarization resolved reflected intensity spectrum--upon occurrence of shear strain hinder its achievement due to lack of an invertible model. In this work, we derive such a model using coherency matrix properties of unpolarized light. We deduce simplified sensor parameters for the ambiguous shear strain loading case, which possibly lead to a practical inversion of the problem.
authors.affiliation: Institute for Measurement Systems and Sensor Technology, Technische Universität München Germany. m.s.mueller@tum.de
authors.forename: Mathias S
authors.initials: MS
authors.lastname: Müller
authors.forename: Christoph D A
authors.initials: CD
authors.lastname: Schnarr
mesh_terms: D017076:Computer-Aided Design; D055119:Elastic Modulus; D004867:Equipment Design; D019544:Equipment Failure Analysis; D005336:Fiber Optic Technology / Q000295:instrumentation; D008027:Light; D012031:Refractometry / Q000295:instrumentation*; D012542:Scattering, Radiation; D033081:Shear Strength; D014159:Transducers