Full Strain Tensor Treatment of Fiber Bragg Grating Sensors

Embedded fiber Bragg gratings can be subjected to arbitrary states of strain including shear strain. Such perturbations can cause coupling between polarization modes. Coupled-mode theory in Bragg gratings so far neglected this effect and only considered forward-backward coupling. Polarization mode c...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 2009-05, Vol.45 (5), p.547-553
Main Authors: Muller, M.S., Hoffmann, L., Sandmair, A., Koch, A.W.
Format: Article
Language:English
Subjects:
Bragg gratings
Capacitive sensors
coupled mode analysis
Dielectrics
Diffraction gratings
Equations
Exact sciences and technology
Fiber gratings
Fiber optics
Fibers
Fundamental areas of phenomenology (including applications)
General equipment and techniques
Gratings
Gratings (spectra)
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Joining
Mathematical analysis
Optical elements, devices, and systems
optical fiber measurements
Optical fiber polarization
Optical fiber sensors
optical fiber transducers
Optical reflection
Optics
Other fiber-optical devices
Physics
Polarization
Sensors (chemical, optical, electrical, movement, gas, etc.)
remote sensing
Sensors, gyros
shear strain
Strain
Strain measurement
Tensile stress
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Description
Summary:Embedded fiber Bragg gratings can be subjected to arbitrary states of strain including shear strain. Such perturbations can cause coupling between polarization modes. Coupled-mode theory in Bragg gratings so far neglected this effect and only considered forward-backward coupling. Polarization mode coupling within a Bragg grating leads to interdependencies between Bragg reflection peaks which have so far been unaddressed. We formulate a full strain tensor treatment of fiber Bragg gratings, considering the coupling of the polarization modes within the grating. We give an approximation for the coupling coefficients affecting the polarization mode coupling and numerically solve the coupled-mode equations for representative states of strain. We show in which way shear strain affects the optical response of a grating and demonstrate how the fiber's beat length influences this characteristic.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.2009.2013151