OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 4 — Apr. 1, 2002
  • pp: 772–780

Design of binary long-period fiber grating filters by the inverse-scattering method with genetic algorithm optimization

Gia-Wei Chern and Lon A. Wang  »View Author Affiliations


JOSA A, Vol. 19, Issue 4, pp. 772-780 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000772


View Full Text Article

Enhanced HTML    Acrobat PDF (190 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An approach is presented to the design of binary long-period fiber grating (LPFG) filters based on the Gel’fand–Levitan–Marchenko (GLM) inverse-scattering method and genetic algorithm optimization. The nonuniform coupling strength of the binary grating can be realized by varying the local duty ratio. A coupled-mode theory combined with the Poisson sum formula for treating the binary index perturbation is developed for the application of the GLM synthesis method. Since the coupled-mode theory, which smears out the discrete coupling nature, can be regarded only as an approximation to the modeling of a binary LPFG, we use instead the transfer-matrix model to analyze the coupling behavior of a nonuniform binary LPFG. Based on the synthesized grating patterns from the GLM method, a real-coded genetic algorithm with the transfer-matrix model is used to compensate for the discrepancies resulting from use of the coupled-mode theory and to optimize the design. We exemplify the above procedure by designing a flatband LPFG filter and a high-visibility all-fiber Mach–Zehnder filter.

© 2002 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2340) Fiber optics and optical communications : Fiber optics components

History
Original Manuscript: February 23, 2001
Revised Manuscript: August 2, 2001
Manuscript Accepted: August 30, 2001
Published: April 1, 2002

Citation
Gia-Wei Chern and Lon A. Wang, "Design of binary long-period fiber grating filters by the inverse-scattering method with genetic algorithm optimization," J. Opt. Soc. Am. A 19, 772-780 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-4-772


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. M. Vengsarkar, P. J. Lemaire, J. B. Judkins, V. Bhatia, T. Erdogan, J. E. Sipe, “Long-period fiber gratings as band-rejection filters,” J. Lightwave Technol. 14, 58–65 (1996). [CrossRef]
  2. T. Erdogan, “Cladding-mode resonances in short- and long-period fiber grating filters,” J. Opt. Soc. Am. A 14, 1760–1773 (1997). [CrossRef]
  3. A. M. Vengsarkar, J. R. Pedrazzani, J. B. Judkins, P. J. Lemaire, N. S. Bergano, C. R. Davidson, “Long-period fiber-grating-based gain equalizers,” Opt. Lett. 21, 336–338 (1996). [CrossRef] [PubMed]
  4. J. R. Qian, H. F. Chen, “Gain flattening fibre filters using phase-shifted long period fibre gratings,” Electron. Lett. 34, 1132–1133 (1998). [CrossRef]
  5. J. Bae, J. Chun, S. B. Lee, “Equalization of the non-flat erbium gain spectrum using the multiport lattice filter model,” in Optical Fiber Communications Conference, Vol. 2 of 2000 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2000), pp. 80–83.
  6. W. H. Loh, M. J. Cole, M. N. Zervas, S. Barcelos, R. L. Laming, “Complex grating structures with uniform phase masks based on the moving fiber-scanning beam technique,” Opt. Lett. 20, 2051–2053 (1995). [CrossRef] [PubMed]
  7. G. W. Chern, L. A. Wang, “Transfer-matrix method based on perturbation expansion for periodic and quasi-periodic binary long-period gratings,” J. Opt. Soc. Am. A 16, 2675–2689 (1999). [CrossRef]
  8. H. Sakata, “Sidelobe suppression in grating-assisted wavelength-selective couplers,” Opt. Lett. 17, 463–465 (1992). [CrossRef] [PubMed]
  9. Y. H. Jan, G. A. Fish, L. A. Coldren, S. P. DenBaars, “Demonstration of InP-InGaAsP vertical grating-assisted co-directional coupler filters and receivers with tapered coupling coefficient distributions,” IEEE Photon. Technol. Lett. 9, 994–996 (1997). [CrossRef]
  10. G. W. Chern, L. A. Wang, “Analysis and design of almost-periodic vertical-grating-assisted codirectional coupler filters with nonuniform duty ratios,” Appl. Opt. 39, 4629–4637 (2000). [CrossRef]
  11. G. H. Song, S. Y. Shin, “Design of corrugated waveguide filters by the Gel’fand–Levitan–Marchenko inverse-scattering method,” J. Opt. Soc. Am. A 2, 1905–1915 (1985). [CrossRef]
  12. L. Poladian, “Simple grating synthesis algorithm,” Opt. Lett. 25, 787–789 (2000). [CrossRef]
  13. 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]
  14. A. Ishimaru, “Theory of unequally spaced arrays,” IRE Trans. Antennas Propag. 10, 691–702 (1963). [CrossRef]
  15. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1991).
  16. K. A. Winick, “Design of grating-assisted waveguide couplers with weighted coupling,” J. Lightwave Technol. 9, 1481–1492 (1991). [CrossRef]
  17. X. J. Gu, “Wavelength-division multiplexing isolation fiber filter and light source using cascaded long-period fiber gratings,” Opt. Lett. 23, 509–510 (1998). [CrossRef]
  18. B. H. Lee, J. Nishii, “Dependence of fringe spacing on the grating separation in a long-period fiber grating pair,” Appl. Opt. 38, 3450–3459 (1999). [CrossRef]
  19. 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]
  20. E. Michielssen, S. Ranjithan, R. Mittra, “Optimal multilayer filter design using real coded genetic algorithm,” IEE Proc. J Optoelectron. 139, 413–420 (1992). [CrossRef]
  21. P. L. Swart, A. P. Kotze, B. M. Lacquet, “Effects of the nature of the starting population on the properties of rugate filters designed with the genetic algorithm,” J. Lightwave Technol. 18, 853–859 (2000). [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