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

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  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).
  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]
  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).

2009 (3)

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]

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]

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]

2008 (1)

T. Mawatari and D. Nelson, "A multi-parameter Bragg grating fiber optic sensor and triaxial strain measurement," Smart Mat. Struct. 17, 19 (2008).
[CrossRef]

2007 (1)

J. Gil, "Polarimetric characterization of light and media," The European Phys. J. Appl. Phys. 40, 1 (2007).
[CrossRef]

2006 (1)

M. Prabhugoud and K. Peters, "Finite element model for embedded fiber Bragg grating sensor," Smart Mat. Struct. 15, 550 (2006).
[CrossRef]

2000 (1)

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).

1997 (3)

K. O. Hill and G. Meltz, "Fiber Bragg Grating Technology Fundamentals and Overview," J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

A. Othonos, "Fiber Bragg gratings," Rev. Sci. Instrum. 68, 4309 (1997).
[CrossRef]

T. Erdogan, "Fiber Grating Spectra," J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Buck, T. C.

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]

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]

El-Khozondar, H. J.

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]

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]

Erdogan, T.

T. Erdogan, "Fiber Grating Spectra," J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

Gil, J.

J. Gil, "Polarimetric characterization of light and media," The European Phys. J. Appl. Phys. 40, 1 (2007).
[CrossRef]

Haugse, E.

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).

Hill, K. O.

K. O. Hill and G. Meltz, "Fiber Bragg Grating Technology Fundamentals and Overview," J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

Hoffmann, L.

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]

Koch, A. W.

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]

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]

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]

Mawatari, T.

T. Mawatari and D. Nelson, "A multi-parameter Bragg grating fiber optic sensor and triaxial strain measurement," Smart Mat. Struct. 17, 19 (2008).
[CrossRef]

Meltz, G.

K. O. Hill and G. Meltz, "Fiber Bragg Grating Technology Fundamentals and Overview," J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

Muller, M. S.

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]

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]

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]

Nelson, D.

T. Mawatari and D. Nelson, "A multi-parameter Bragg grating fiber optic sensor and triaxial strain measurement," Smart Mat. Struct. 17, 19 (2008).
[CrossRef]

Othonos, A.

A. Othonos, "Fiber Bragg gratings," Rev. Sci. Instrum. 68, 4309 (1997).
[CrossRef]

Peters, K.

M. Prabhugoud and K. Peters, "Finite element model for embedded fiber Bragg grating sensor," Smart Mat. Struct. 15, 550 (2006).
[CrossRef]

Prabhugoud, M.

M. Prabhugoud and K. Peters, "Finite element model for embedded fiber Bragg grating sensor," Smart Mat. Struct. 15, 550 (2006).
[CrossRef]

Sandmair, A.

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]

Schulz, W.

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).

Seim, J.

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).

Udd, E.

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).

J. Lightwave Technol. (3)

K. O. Hill and G. Meltz, "Fiber Bragg Grating Technology Fundamentals and Overview," J. Lightwave Technol. 15, 1263 (1997).
[CrossRef]

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]

T. Erdogan, "Fiber Grating Spectra," J. Lightwave Technol. 15, 1277 (1997).
[CrossRef]

J. Quantum Electron. (1)

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]

Opt. Lett. (1)

Proc. SPIE (1)

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).

Rev. Sci. Instrum. (1)

A. Othonos, "Fiber Bragg gratings," Rev. Sci. Instrum. 68, 4309 (1997).
[CrossRef]

Smart Mat. Struct. (2)

T. Mawatari and D. Nelson, "A multi-parameter Bragg grating fiber optic sensor and triaxial strain measurement," Smart Mat. Struct. 17, 19 (2008).
[CrossRef]

M. Prabhugoud and K. Peters, "Finite element model for embedded fiber Bragg grating sensor," Smart Mat. Struct. 15, 550 (2006).
[CrossRef]

The European Phys. J. Appl. Phys. (1)

J. Gil, "Polarimetric characterization of light and media," The European Phys. J. Appl. Phys. 40, 1 (2007).
[CrossRef]

Other (3)

A. Barybin and V. Dmitriev, Modern Electrodynamics and Coupled-Mode Theory, (Rinton Press, 2002).

T. Narasimhamutry, Photoelastic and Electro-Optic Properties of Crystals, (Plenum Press, 1981).

A. Yariv and P. Yeh, Optical Waves in Crystals, (Wiley, 1984).

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