OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 21 — Jul. 20, 2007
  • pp: 4555–4562

Estimations of fiber Bragg grating parameters and strain gauge factor using optical spectrum and strain distribution information

C. C. Cheng, Y. L. Lo, W. Y. Li, C. T. Kuo, and H. C. Cheng  »View Author Affiliations

Applied Optics, Vol. 46, Issue 21, pp. 4555-4562 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (1075 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An inverse approach based on an optimization technique is proposed to characterize a fiber Bragg grating (FBG) and the strain gauge factor (GF) when the FBG is bonded on a structure. By bonding an FBG on a substrate and simply straining this FBG into a chirped fiber Bragg grating with a predesignated strain, the proposed method, based on an optimization technique, can be used to reconstruct seven parameters of the FBG from the corresponding reflective spectrum. The parameters identified are the length of an FBG, the grating period, the average refractive index, the index modulation, the apodization coefficient, the starting point bonded on the plate, and the strain GF. The information from the predesignated strain, as well as the measured reflective spectrum, is used as the objective function during the optimal search. As a result, the design sensitivity for the optimal search is much improved compared with the design sensitivity when only the reflective spectrum is used. In particular, the strain GF, which depends on the adhesive, the bonding layer characteristics, etc., can be determined in order to provide a reference for an FBG used as a strain sensor. Results from numerical simulations and experiments show that seven parameters of an FBG can be obtained accurately and efficiently.

© 2007 Optical Society of America

OCIS Codes
(060.2270) Fiber optics and optical communications : Fiber characterization
(060.2300) Fiber optics and optical communications : Fiber measurements
(060.2310) Fiber optics and optical communications : Fiber optics

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: November 28, 2006
Revised Manuscript: March 8, 2007
Manuscript Accepted: April 4, 2007
Published: July 6, 2007

C. C. Cheng, Y. L. Lo, W. Y. Li, C. T. Kuo, and H. C. Cheng, "Estimations of fiber Bragg grating parameters and strain gauge factor using optical spectrum and strain distribution information," Appl. Opt. 46, 4555-4562 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. P. A. Krug, R. Stolte, and R. Ulrich, "Measurement of index modulation along an optical fiber Bragg grating," Opt. Lett. 20, 1767-1769 (1995). [CrossRef] [PubMed]
  2. D. Ramecourt, P. Bernage, P. Niay, M. Douay, and I. Riant, "Improvement in the measurement of index modulation along an optical fiber grating by movement of the probe spot perpendicularly to the fiber axis," Appl. Opt. 40, 6166-6169 (2001). [CrossRef]
  3. N. Roussel, S. Magne, C. Martinez, and P. Ferdinand, "Measurement of index modulation along fiber Bragg gratings by side scattering and local heating technique," Opt. Fiber Technol. 5, 119-132 (1999). [CrossRef]
  4. D. W. Huang and C. C. Yang, "Reconstruction of fiber grating refractive-index profiles from complex Bragg reflection spectra," Appl. Opt. 38, 4494-4499 (1999). [CrossRef]
  5. G. Cormier, R. Boudreau, and S. Thériault, "Real-coded genetic algorithm for Bragg grating parameter synthesis," J. Opt. Soc. Am. B 18, 1771-1776 (2001). [CrossRef]
  6. K. A. Winick and J. E. Roman, "Design of corrugated waveguide filters by Fourier-transform techniques," IEEE J. Quantum Electron. 26, 1918-1929 (1990). [CrossRef]
  7. E. Peral, J. Capmany, and J. Marti, "Iterative solution to the Gel'fand-Levitan-Marchenko coupled equations and application to synthesis of fiber gratings," IEEE J. Quantum Electron. 32, 2078-2084 (1996). [CrossRef]
  8. H. C. Cheng and Y. L. Lo, "The synthesis of multiple parameters of arbitrary FBGs via a genetic algorithm and two thermally-modulated intensity spectra," J. Lightwave Technol. 23, 2158-2168 (2005). [CrossRef]
  9. J. Skaar and K. M. Risvik, "A genetic algorithm for the inverse problem in synthesis of fiber gratings," J. Lightwave Technol. 16, 1928-1998 (1998). [CrossRef]
  10. P. Dong, J. Azana, and A. G. Kirk, "Synthesis of fiber Bragg grating parameters from reflectivity by means of simulated annealing algorithm," Opt. Commun. 28, 303-308 (2003). [CrossRef]
  11. C. Z. Shi, N. Zeng, M. Zhang, Y. B. Liao, and S. R. Lai, "Adaptive simulated annealing algorithm for the fiber Bragg grating distributed strain sensing," Opt. Commun. 26, 167-173 (2003). [CrossRef]
  12. C. C. Cheng, Y. L. Lo, B. S. Pun, E. M. Chang, and W. Y. Li, "An investigation of bonding layer characteristics of a substrate-bonded fiber Bragg grating," J. Lightwave Technol. 23, 3907-3915 (2005). [CrossRef]
  13. D. S. Li, H. N. Li, L. Ren, and G. Song, "Strain transferring analysis of fiber Bragg grating sensors," Opt. Eng. 45, 024402 (2006). [CrossRef]
  14. K. W. Yang, A. G. Liu, C. C. Cheng, and Y. L. Lo, "Topology and shape optimization of substrate using for chirp fiber Bragg grating spectrum tuning," J. Lightwave Technol. 20, 1182-1187 (2002). [CrossRef]
  15. S. Huang, M. LeBlanc, M. M. Ohn, and R. M. Measures, "Bragg intragrating structural sensing," Appl. Opt. 34, 5003-5009 (1995). [CrossRef] [PubMed]
  16. M. Matsuhara, K. O. Hill, and A. Watanabe, "Optical-waveguide filters: synthesis," J. Opt. Soc. Am. 65, 804-809 (1975). [CrossRef]
  17. M. LeBlanc, S. Y. Huang, M. Ohn, and R. M. Measures, "Distributed strain measurement based on a fiber Bragg grating and its reflection spectrum analysis," Opt. Lett. 21, 1405-1407 (1996). [CrossRef] [PubMed]
  18. C. D. Butter and G. B. Hocker, "Fiber optics strain gauge," Appl. Opt. 17, 2867-1869 (1978). [CrossRef] [PubMed]
  19. R. Maaskant, T. Alavie, R. M. Measures, G. Tadros, S. H. Rizkalla, and A. Guha-Thakurta, "Fiber-optic Bragg grating sensors for bridge monitoring," Cem. Concr. Compos. 19, 21-33 (1997). [CrossRef]
  20. Y. B. Lin, K. C. Chang, J. C. Chern, and L. A. Wang, "Packaging methods of fiber-Bragg grating sensors in civil structure applications," IEEE Sens. J. 5, 419-424 (2005). [CrossRef]
  21. P. Ferraro and G. de Natale, "On the possible use of optical fiber Bragg gratings as strain sensors for geodynamical monitoring," Opt. Lasers Eng. 37, 115-130 (2002). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited