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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 12 — Dec. 1, 2004
  • pp: 2399–2405

Two-stage hybrid optimization of fiber Bragg gratings for design of linear phase filters

Rui Tao Zheng, Nam Quoc Ngo, Le Nguyen Binh, and Swee Chuan Tjin  »View Author Affiliations


JOSA A, Vol. 21, Issue 12, pp. 2399-2405 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002399


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Abstract

We present a new hybrid optimization method for the synthesis of fiber Bragg gratings (FBGs) with complex characteristics. The hybrid optimization method is a two-tier search that employs a global optimization algorithm [i.e., the tabu search (TS) algorithm] and a local optimization method (i.e., the quasi-Netwon method). First the TS global optimization algorithm is used to find a “promising” FBG structure that has a spectral response as close as possible to the targeted spectral response. Then the quasi-Newton local optimization method is applied to further optimize the FBG structure obtained from the TS algorithm to arrive at a targeted spectral response. A dynamic mechanism for weighting of different requirements of the spectral response is employed to enhance the optimization efficiency. To demonstrate the effectiveness of the method, the synthesis of three linear-phase optical filters based on FBGs with different grating lengths is described.

© 2004 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.2770) Diffraction and gratings : Gratings
(060.2340) Fiber optics and optical communications : Fiber optics components

History
Original Manuscript: June 3, 2004
Revised Manuscript: July 7, 2004
Manuscript Accepted: July 7, 2004
Published: December 1, 2004

Citation
Rui Tao Zheng, Nam Quoc Ngo, Le Nguyen Binh, and Swee Chuan Tjin, "Two-stage hybrid optimization of fiber Bragg gratings for design of linear phase filters," J. Opt. Soc. Am. A 21, 2399-2405 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-12-2399


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References

  1. R. Feced, M. N. Zervas, M. A. Muriel, “An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings,” IEEE J. Quantum Electron. 35, 1105–1115 (1999). [CrossRef]
  2. L. Poladian, “Simple grating synthesis algorithm,” Opt. Lett. 25, 787–789 (2000). [CrossRef]
  3. J. Skaar, L. Wang, T. Erdogan, “On the synthesis of fiber Bragg gratings by layer peeling,” IEEE J. Quantum Electron. 37, 165–173 (2001). [CrossRef]
  4. M. Ibsen, P. Petropoulos, “Dispersion-free fibre Bragg gratings,” Optical Fiber Communications Conference, Vol. 1 of 2001 Trends in Optics and Photonics Series, Postconference Digest (Optical Society of America, Washington, D.C., 2001), pp. MC1/1–MC1/3.
  5. J. Skaar, K. M. Risvik, “A genetic algorithm for the inverse problem in synthesis of fiber gratings,” J. Lightwave Technol. 16, 1928–1932 (1998). [CrossRef]
  6. J. Bae, J. Chun, “Design of fiber Bragg gratings using the simulated annealing technique for an ideal WDM filter Bank,” MILCOM 2000: 21st Century Military Communications Conference Proceedings (IEEE Press, Piscataway, N.J., 2000), Vol. 2, pp. 892–896.
  7. F. Glover, M. Laguna, Tabu Search (Kluwer Academic, Dordrecht, The Netherlands, 1998).
  8. F. Glover, J. P. Kelly, M. Laguna, “Genetic algorithms and tabu search: hybrids for optimization,” Comput. Operations Res. 22, 111–134 (1995). [CrossRef]
  9. T. Erdogan, “Fiber grating spectra,” J. Lightwave Technol. 15, 1277–1294 (1997). [CrossRef]
  10. D. F. Shanno, “Conditioning of quasi-Newton methods for function minimization,” Math. Comput. 24, 647–656 (1970). [CrossRef]
  11. G. Nykolak, G. Lenz, B. J. Eggleton, T. A. Strasser, “Impact of fiber grating dispersion on WDM system performance,” Optical Fiber Communications Conference(OFC ’98) Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 4–5.
  12. M. J. N. Lima, A. L. J. Teixeira, J. R. F. Rocha, “Optimization of apodized fibre grating filters for WDM systems,” IEEE Lasers and Electro-Optics Society 1999 12th Annual Meeting (LEOS ’99) (IEEE Press, Piscataway, N.J., 1999), Vol. 2, pp. 876–877. [CrossRef]
  13. A. Asseh, “A writing technique for long fiber Bragg gratings with complex reflectivity profiles,” J. Lightwave Technol. 15, 1419–1423 (1997). [CrossRef]
  14. I. Petermann, B. Sahlgren, S. Helmfrid, A. T. Friberg, P. Y. Fonjallaz, “Fabrication of advanced fiber Bragg gratings by use of sequential writing with a continuous-wave ultraviolet laser source,” Appl. Opt. 41, 1051–1056 (2002). [CrossRef] [PubMed]

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