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. 18, Iss. 3 — Mar. 1, 2001
  • pp: 557–564

Synthesis of fiber Bragg gratings for use in transmission

Johannes Skaar  »View Author Affiliations


JOSA A, Vol. 18, Issue 3, pp. 557-564 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000557


View Full Text Article

Acrobat PDF (180 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A method for designing fiber Bragg gratings with desired complex transmission coefficients is proposed. The transmission coefficient of a fiber grating satisfies the minimum-phase condition when the linear phase from the pure propagation is ignored. Therefore only a finite bandwidth is considered for the synthesis. The algorithm is based on a result of Krein and Nudel’man [Prob. Peredachi Inf. 11, 37 (1975)]. A numerical algorithm is developed, and by numerical examples it is demonstrated that it is possible to realize gratings with specified complex transmission responses inside the considered bandwidth. The method is also applicable for thin-film filters.

© 2001 Optical Society of America

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

Citation
Johannes Skaar, "Synthesis of fiber Bragg gratings for use in transmission," J. Opt. Soc. Am. A 18, 557-564 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-3-557


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. K. O. Hill and G. Meltz, “Fiber Bragg grating technology: fundamentals and overview,” J. Lightwave Technol. 15, 1263–1276 (1997).
  2. T. Erdogan, “Fiber grating spectra,” J. Lightwave Technol. 15, 1277–1294 (1997).
  3. R. Feced, M. N. Zervas, and M. A. Muriel, “An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings,” IEEE J. Quantum Electron. 35, 1105–1115 (1999).
  4. K. Hinton, “Dispersion compensation using apodized Bragg fiber gratings in transmission,” J. Lightwave Technol. 16, 2336–2346 (1998).
  5. E. Brinkmeyer, “Simple algorithm for reconstructing fiber grating from reflectometric data,” Opt. Lett. 20, 810–812 (1995).
  6. L. Poladian, “Group-delay reconstruction for fiber Bragg gratings in reflection and transmission,” Opt. Lett. 22, 1571–1573 (1997).
  7. G. Lenz, B. J. Eggleton, C. R. Giles, C. K. Madsen, and R. E. Slusher, “Dispersive properties of optical fibers for WDM systems,” IEEE J. Quantum Electron. 34, 1390–1402 (1998).
  8. F. Ouellette, “Limits of chirped pulse-compression with an unchirped Bragg grating filter,” Appl. Opt. 29, 4826–4829 (1990).
  9. B. J. Eggleton, T. Stephens, P. A. Krug, G. Dhosi, Z. Brodzeli, and F. Ouellette, “Dispersion compensation using a fibre grating in transmission,” Electron. Lett. 32, 1610–1611 (1996).
  10. N. M. Litchinitser, B. J. Eggleton, and D. B. Patterson, “Fiber Bragg gratings for dispersion compensation in transmission: theoretical model and design criteria for nearly ideal pulse recompression,” J. Lightwave Technol. 15, 1303–1313 (1997).
  11. J. Skaar, “Synthesis and characterization of fiber Bragg gratings,” Ph.D. dissertation (Norwegian University of Science and Technology, Trondheim, Norway, 2000), available online at http://www.fysel.ntnu.no/Department/Avhandlinger/dring/index.html#2000.
  12. M. G. Krein and P. Ya. Nudel’man, “On some new problems for Hardy class functions and continuous families of functions with double orthogonality,” Dokl. Akad. Nauk SSSR 206, 537–540 (1973).
  13. M. G. Krein and P. Ya. Nudel’man, “Approximation of functions by minimum-energy transfer functions of linear systems,” Probl. Peredachi Inf. 11, 37–60 (1975).
  14. V. Klibanov, P. E. Sacks, and A. V. Tikhonravov, “The phase retrieval problem,” Inverse Probl. 11, 1–28 (1995).
  15. M. Nussenzveig, Causality and Dispersion Relations (Academic, New York, 1972).
  16. A. Papoulis, The Fourier Integral and Its Applications (McGraw–Hill, New York, 1962), Chap. 10.
  17. L. Aizenberg, Carleman’s Formulas in Complex Analysis (Kluwer Academic, Dordrecht, The Netherlands, 1993).
  18. A. V. Tikhonravov, “Some theoretical aspects of thin-film optics and their applications,” Appl. Opt. 32, 5417–5426 (1993).
  19. A. M. Bruckstein, B. C. Levy, and T. Kailath, “Differential methods in inverse scattering,” SIAM J. Appl. Math. 45, 312–335 (1985).
  20. N. Young, An Introduction to Hilbert Space (Cambridge U. Press, Cambridge, UK, 1988), Chap. 7.
  21. G. H. Song, “Theory of symmetry in optical filter responses,” J. Opt. Soc. Am. A 11, 2027–2037 (1994).
  22. N. M. Litchinitser, B. J. Eggleton, and G. P. Agrawal, “Dispersion of cascaded fiber gratings in WDM lightwave systems,” J. Lightwave Technol. 16, 1523–1529 (1997).

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