Abstract

The period and length of a fiber grating structure can be reconstructed from its corresponding complex reflection coefficient using time-frequency signal analysis based on Wigner-Ville and Spectrogram distributions. We provide an experimental demonstration of this synthesis technique on two fiber grating structures and obtain good agreement between the reconstructed values and those expected based on the parameters used in their fabrication. We then propose and numerically demonstrate how this technique can be applied to distributed strain (or temperature) sensing.

© 2001 IEEE

PDF Article

References

  • View by:
  • |

  1. M. Matsuhara, K. O. Hill and A. Watanabe, "Optical-waveguide filters: Synthesis", J. Opt. Soc. Am., vol. 65, pp. 804-809, 1975.
  2. G. H. Song and S. Y. Shin, "Design of corrugated waveguide filters by the Gel'Fand-Levitan-Marchenko inverse-scattering method", J. Opt. Soc. Am. A., vol. 2, pp. 1905-1915, 1985.
  3. K. A. Winick and J. E. Roman, "Design of corrugated waveguide filters by Fourier Transform techniques", IEEE J. Quantum Electron., vol. 26, pp. 1918-1929, 1990.
  4. P. Roberts and G. Town, "Design of microwave filters by inverse scattering", IEEE Trans. Microwave Theory and Techniques, vol. 43, pp. 739-743, 1995.
  5. E. Peral, J. Capmany and J. Marti, "Iterative solution to the Gel'Fand-Levitan-Marchenko coupled equations and applications to synthesis of fiber gratings", IEEE J. Quantum Electron., vol. 32, pp. 2078-2084, 1996.
  6. J. Skaar and K. M. Rivsik, "A genetic algorithm for the inverse problem in synthesis of fiber gratings", J. Lightwave Technol., vol. 16, pp. 1928-1932, 1998.
  7. R. Feced, M. N. Zervas and M. A. Muriel, "An efficient inverse scattering algorithm for the design of non uniform fiber Bragg gratings", IEEE J. Quantum Electron., vol. 35, pp. 1105-1115, 1999.
  8. M. A. Muriel, J. Azaña and A. Carballar, "Fiber grating synthesis by use of time-frequency representations", Opt. Lett., vol. 23, pp. 1526-1528, 1998.
  9. L. Cohen, "Time-frequency distributions-A review", Proc. IEEE, vol. 77, pp. 941-981, 1989.
  10. H. Kogelnik, "Filter response of non uniform almost-periodic structures", The Bell System Technical Journal, vol. 55, pp. 109-126, 1976.
  11. M. M. Ohn, S. Y. Huang, R. M. Measures and J. Chwang, "Arbitrary strain profile measurement within fiber gratings using interferometric Fourier transform technique", Electron. Lett., vol. 33, pp. 1242-1243, 1997.
  12. S. Huang, M. M. Ohn and R. M. Measures, "Phase-based Bragg intragrating distributed strain sensor", Appl. Opt., vol. 35, pp. 1135 -1142, 1996.
  13. G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion and S. B. Poole, "Wide-band Fabry-Pérot-like filters in optical fiber", IEEE Photon. Technol. Lett., vol. 7, pp. 78-80, 1995 .
  14. S. Ryu, Y. Horiuchi and K. Mochizuki, "Novel chromatic dispersion measurement method over continuous gigahertz tuning range", J. Lightwave Technol., vol. 7, pp. 1177-1180, 1989.
  15. M. Leblanc, S. Y. Huang, M. Ohn, R. M. Measures, A. Guemes and A. Othonos, "Distributed strain measurement based on a fiber Bragg grating and its reflection spectrum analysis", Opt. Lett. , vol. 21, pp. 1405-1407, 1996.
  16. M. Volanthen, H. Geiger, M. J. Cole and J. P. Dakin, "Measurement of arbitrary strain profiles within fiber gratings", Electron. Lett., vol. 32, pp. 1028-1029, 1996.
  17. C. D. Butter and G. B. Hocker, "Fiber optics strain gauge", Appl. Opt., vol. 17, pp. 2867-2869, 1978.
  18. K. P. Koo, M. LeBlanc, T. E. Tsai and S. T. Vohra, "Fiber-chirped grating Fabry-Perot sensor with multiple-wavelength-addressable free-spectral ranges", IEEE Photon. Technol. Lett., vol. 10, pp. 1006-1008, 1998.
  19. J. Azaña and M. A. Muriel, "Reconstruction of fiber gratings period profile by employing Wigner-Ville distributions and spectrograms", J. Opt. Soc. of Am. A, vol. 17, pp. 2496-2505, 2000.
  20. G. Duck and M. M. Ohn, "Distributed Bragg grating sensing with a direct group-delay measurement technique", Opt. Lett., vol. 25, pp. 90-92, 2000.

Appl. Opt. (2)

J. Lightwave Technol. (2)

S. Ryu, Y. Horiuchi and K. Mochizuki, "Novel chromatic dispersion measurement method over continuous gigahertz tuning range", J. Lightwave Technol., vol. 7, pp. 1177-1180, 1989.

J. Skaar and K. M. Rivsik, "A genetic algorithm for the inverse problem in synthesis of fiber gratings", J. Lightwave Technol., vol. 16, pp. 1928-1932, 1998.

J. Opt. Soc. Am. (1)

Opt. Lett. (2)

Other (13)

L. Cohen, "Time-frequency distributions-A review", Proc. IEEE, vol. 77, pp. 941-981, 1989.

H. Kogelnik, "Filter response of non uniform almost-periodic structures", The Bell System Technical Journal, vol. 55, pp. 109-126, 1976.

M. M. Ohn, S. Y. Huang, R. M. Measures and J. Chwang, "Arbitrary strain profile measurement within fiber gratings using interferometric Fourier transform technique", Electron. Lett., vol. 33, pp. 1242-1243, 1997.

G. H. Song and S. Y. Shin, "Design of corrugated waveguide filters by the Gel'Fand-Levitan-Marchenko inverse-scattering method", J. Opt. Soc. Am. A., vol. 2, pp. 1905-1915, 1985.

K. A. Winick and J. E. Roman, "Design of corrugated waveguide filters by Fourier Transform techniques", IEEE J. Quantum Electron., vol. 26, pp. 1918-1929, 1990.

P. Roberts and G. Town, "Design of microwave filters by inverse scattering", IEEE Trans. Microwave Theory and Techniques, vol. 43, pp. 739-743, 1995.

E. Peral, J. Capmany and J. Marti, "Iterative solution to the Gel'Fand-Levitan-Marchenko coupled equations and applications to synthesis of fiber gratings", IEEE J. Quantum Electron., vol. 32, pp. 2078-2084, 1996.

R. Feced, M. N. Zervas and M. A. Muriel, "An efficient inverse scattering algorithm for the design of non uniform fiber Bragg gratings", IEEE J. Quantum Electron., vol. 35, pp. 1105-1115, 1999.

G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion and S. B. Poole, "Wide-band Fabry-Pérot-like filters in optical fiber", IEEE Photon. Technol. Lett., vol. 7, pp. 78-80, 1995 .

M. Leblanc, S. Y. Huang, M. Ohn, R. M. Measures, A. Guemes and A. Othonos, "Distributed strain measurement based on a fiber Bragg grating and its reflection spectrum analysis", Opt. Lett. , vol. 21, pp. 1405-1407, 1996.

M. Volanthen, H. Geiger, M. J. Cole and J. P. Dakin, "Measurement of arbitrary strain profiles within fiber gratings", Electron. Lett., vol. 32, pp. 1028-1029, 1996.

K. P. Koo, M. LeBlanc, T. E. Tsai and S. T. Vohra, "Fiber-chirped grating Fabry-Perot sensor with multiple-wavelength-addressable free-spectral ranges", IEEE Photon. Technol. Lett., vol. 10, pp. 1006-1008, 1998.

J. Azaña and M. A. Muriel, "Reconstruction of fiber gratings period profile by employing Wigner-Ville distributions and spectrograms", J. Opt. Soc. of Am. A, vol. 17, pp. 2496-2505, 2000.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.