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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 25 — Dec. 7, 2009
  • pp: 22624–22631

Analytical coherency matrix treatment of shear strained fiber Bragg gratings

Mathias S. Müller and Christoph D. A. Schnarr  »View Author Affiliations


Optics Express, Vol. 17, Issue 25, pp. 22624-22631 (2009)
http://dx.doi.org/10.1364/OE.17.022624


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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.

© 2009 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.2300) Fiber optics and optical communications : Fiber measurements
(060.2370) Fiber optics and optical communications : Fiber optics sensors
(060.2420) Fiber optics and optical communications : Fibers, polarization-maintaining

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: September 21, 2009
Revised Manuscript: November 4, 2009
Manuscript Accepted: November 4, 2009
Published: November 25, 2009

Citation
Mathias S. Müller and Christoph D. A. Schnarr, "Analytical coherency matrix treatment of shear strained fiber Bragg gratings," Opt. Express 17, 22624-22631 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-25-22624


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References

  1. K. O. Hill and G. Meltz, "Fiber Bragg Grating Technology Fundamentals and Overview," J. Lightwave Technol. 15, 1263 (1997). [CrossRef]
  2. A. Othonos, "Fiber Bragg gratings," Rev. Sci. Instrum. 68, 4309 (1997). [CrossRef]
  3. T. Mawatari and D. Nelson, "A multi-parameter Bragg grating fiber optic sensor and triaxial strain measurement," Smart Mat. Struct. 17, 19 (2008). [CrossRef]
  4. M. Prabhugoud and K. Peters, "Finite element model for embedded fiber Bragg grating sensor," Smart Mat. Struct. 15, 550 (2006). [CrossRef]
  5. M. S. Muller, L. Hoffmann, A. Sandmair, and A. W. Koch, "Full strain tensor treatment of fiber Bragg grating sensors," J. Quantum Electron. 45, 547 (2009). [CrossRef]
  6. E. Udd, W. Schulz, J. Seim, and E. Haugse, in "Multidimensional strain field measurements using fiber optic grating sensors,"Proc. SPIE 3986, 254-262 (2000). [CrossRef]
  7. A. Barybin and V. Dmitriev, Modern Electrodynamics and Coupled-Mode Theory, (Rinton Press, 2002).
  8. M. S. Muller, H. J. El-Khozondar, T. C. Buck, and A. W. Koch, "Analytical Solution of Four-Mode Coupling in Shear Strain Loaded Fiber-Bragg-Grating Sensors," Opt. Lett. 34, 2622 (2009). [CrossRef] [PubMed]
  9. M. S. Muller, T. C. Buck, H. J. El-Khozondar, and A. W. Koch, "Shear-Strain Influence on Fiber Bragg Grating Measurement Systems," J. Lightwave Technol. 27, 1-7 (2009). [CrossRef]
  10. J. Gil, "Polarimetric characterization of light and media," The European Phys. J. Appl. Phys. 40, 1 (2007). [CrossRef]
  11. T. Erdogan, "Fiber Grating Spectra," J. Lightwave Technol. 15, 1277 (1997). [CrossRef]
  12. T. Narasimhamutry, Photoelastic and Electro-Optic Properties of Crystals, (Plenum Press, 1981).
  13. A. Yariv and P. Yeh, Optical Waves in Crystals, (Wiley, 1984).

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