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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 3 — Feb. 2, 2009
  • pp: 1995–2004

Comparison of Inverse Scattering Algorithms for Designing Ultrabroadband Fibre Bragg Gratings

A. Buryak, J. Bland-Hawthorn, and V. Steblina  »View Author Affiliations


Optics Express, Vol. 17, Issue 3, pp. 1995-2004 (2009)
http://dx.doi.org/10.1364/OE.17.001995


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Abstract

We compare different inverse scattering (IS) algorithms used to calculate profiles of fibre Bragg gratings (FBGs) and analyse their robustness, speed and implementation difficulties. We analyse sources of IS algorithm errors and discuss their relative importance. We discuss the optimal choice of IS algorithm for inverse-direct iterative optimisation schemes for grating design. We find that our time-domain layer-peeling method is an order of magnitude faster and more robust than the spectral domain algorithms considered here. We demonstrate that our method is essential to solving highly complex FBG designs demanded by astronomical applications.

© 2009 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings

History
Original Manuscript: October 28, 2008
Revised Manuscript: November 8, 2008
Manuscript Accepted: November 8, 2008
Published: January 30, 2009

Virtual Issues
Focus Issue: Astrophotonics (2009) Optics Express

Citation
A. Buryak, J. Bland-Hawthorn, and V. Steblina, "Comparison of Inverse Scattering Algorithms for Designing Ultrabroadband Fibre Bragg Gratings," Opt. Express 17, 1995-2004 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-3-1995


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References

  1. J. Bland-Hawthorn, M. England, and G. Edvell, "New approach to atmospheric OH suppression using an aperiodic fibre Bragg grating," Opt. Express 12, 5902-5909 (2004). [CrossRef] [PubMed]
  2. J. Bland-Hawthorn, A. Buryak, and K. Kolossovski, "Optimization algorithm for ultrabroadband multichannel aperiodic fiber Bragg grating filters," J. Opt. Soc. Am. A 25, 153-158 (2008). [CrossRef]
  3. A.V. Buryak, "Iterative scheme for the "mixed" scattering problem," in Proc. BGPP, 2003, MB3.
  4. K. Kolossovski, R. A. Sammut, A. V. Buryak, and D. Yu. Stepanov, " Three-step design optimization for multichannel fibre Bragg gratings," Opt. Express 11, 1029-1038 (2003). [CrossRef] [PubMed]
  5. R. Feced, M. N. Zervas, and M. A. Muriel, "An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings," IEEE J. Quant. Electron. 35,1105-1115 (1999). [CrossRef]
  6. L. Poladian, "Simple grating synthesis algorithm," Opt. Lett. 25, 787-789 (2000);L. Poladian, "Simple grating synthesis algorithm: errata," Opt. Lett. 25, 1400 (2000). [CrossRef]
  7. J. Skaar, L. Wang, and T. Erdogan, "On the synthesis of fiber Bragg gratings by layer peeling," IEEE J. Quant. Electron. 37, 165-173 (2001). [CrossRef]
  8. J. Skaar and R. Feced, "Reconstruction of gratings from noisy reflection data," J. Opt. Soc. Am. A 19, 2229-2237 (2002). [CrossRef]
  9. A. Rosenthal and M. Horowitz, "Inverse scattering algorithm for reconstructing strongly reflecting fiber Bragg gratings," IEEE J. Quant. Electron. 39, 1018-1026 (2003). [CrossRef]
  10. K. Kolossovski, A. V. Buryak, and R. A. Sammut, "Optimised time-frequency domain layer-peeling algorithm to reconstruct fibre Bragg gratings," Electron. Lett. 40, 1046 (2004). [CrossRef]
  11. J. Skaar and O. H. Waagaard, "Design and characterization of finite-length fiber gratings," IEEE J. Quant. Electron. 39, 1238-1245 (2003). [CrossRef]
  12. L. Dong and S. Fortier, "Formulation of time-domain algorithm for fiber Bragg grating simulation and reconstruction," IEEE J. of Quant. Electron. 40, 1087-1098 (2004). [CrossRef]
  13. O. V. Belai, E. V. Podivilov, O. Ya. Schwarz, D. A. Shapiro, and L. L. Frumin, "Finite Bragg grating synthesis by numerical solution of Hermitian Gel’fand-Levitan-Marchenko equations," J. Opt. Soc. Am. B 23, 2040-2045 (2006). [CrossRef]
  14. O. V. Belai, L. L. Frumin, E. V. Podivilov, and D. A. Shapiro, "Efficient numerical method of the fiber Bragg grating synthesis," J. Opt. Soc. Am. B 24, 1451-1457 (2007). [CrossRef]
  15. C. K. Madsen and J. H. Zhao, "Optical flter design and analysis: a signal processing approach," Wiley & Sons, New York (1999).
  16. D. H. Jones, J. Bland-Hawthorn, & M.G. Burton, "Numerical evaluation of OH airglow suppression filters," Publ. Astron. Soc. Pac. 108, 929-938 (1996). [CrossRef]

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