2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Journal of Lightwave Technology
Volume 18 Number 2, February 2000

On the Application of Coupled Mode Theory for Modeling Fiber Bragg Gratings

Page 236.

Abstract:

We remove some ambiguities associated with the coupled mode description of light propagation in fiber Bragg gratings (FBG's). We show, in particular, that different methods employed in the literature lead to physically distinct results. The significant distinctions are discussed both for interferometric systems and intensity-only spectral measurements. Analysis of the reflection spectrum of a suitably designed double-grating structure is shown to result in a novel form of spectral hole, similar to the well-known effect derived from discontinuous phase gratings.

References

1. G. E. Town, K. Sugden, J. A. R. Williams, I. Bennion and S. B. Poole, "Wide-band Fabry-Perot-like filters in optical fiber", IEEE Photon. Technol. Lett., vol. 7, no.  4, pp.  78- 80, Jan.  1995.
2. L. Zhang, K. Sugden, I. Bennion and A. Molony, "Wide-stopband chirped fiber moiré grating transmission filters", Elec. Lett., vol. 31, pp.  477 - 479, Mar.  1995.
3. J. Canning and M. G. Sceats, "-phase-shifted periodic distributed structures in optical fibers by UV post-processing", Electron. Lett., vol. 30, pp.  1344- 1345, Aug.  1994.
4. R. Kashyap, P. F. Mckee and D. Armes, "UV written reflection grating structures in photosensitive optical fibers using phase-shifted phase masks", Electron. Lett., vol. 30, pp.  1977- 1978, Nov.  1994.
5. M. Yamada and K. Sakuda, "Analysis of almost-periodic distributed feedback slap waveguides via a fundamental matrix approach", Appl. Opt., vol. 26, pp.  3474- 3478, Aug.  1987.
6. F. Bakhti and P. Sansonetti, "Wide bandwidth, low loss and highly rejective doubly phase-shifted UV-written fiber bandpasss filter", Electron. Lett., vol. 32, pp.  581- 582, 1986.
7. L. Wei and W. Lit, "Phase-shifted Bragg grating filters with symmetrical structures", J. Lightwave Technol., vol. 15, pp.  1405- 1410, Aug.  1997 .
8. R. Zengerle and O. Leminger, "Phase-shifted Bragg-grating filters with improved transmission characteristics", J. Lightwave Technol., vol. 13 , pp.  2354- 2358, Dec.  1995.
9. F. Bakhti and P. Sansonetti, "Design and realization of multiple quarter-wave phase-shifts UV-written bandpass filters in optical fibers", J. Lightwave Technol., vol. 15, pp.  1433- 1437, Aug.  1997.
10. G. P. Agrawal and S. Radic, "Phas-shifted fiber Bragg gratings and their applications for wavelength demultiplexing", IEEE Photon. Technol. Lett., vol. 6, pp.  995- 997, Aug.  1994.
11. T. Ergodan, "Fiber grating spectra", J. Lightwave Technol. , vol. 15, pp.  1277- 1294, Aug.  1997.
12. C. Giles, "Lightwave applications of fiber Gragg gratings ", J. Lightwave Technol., vol. 15, pp.  1391- 1404, Aug.  1997 .
13. M. W. McCall and A. Lakhtakia, "Polarization-dependent narrowband spectral filtering by chiral scupltered thin films", J. Modern Opt., to be published.
14. M. W. McCall and A. Lakhtakia, "Development and assessment of coupled wave theory of axial propagation in thin film helicoidal bianisotropic mediums. Part I: Reflectances and transmittances", J. Modern Opt.,
15. P. St. J. Russell and J. L. Archambault, " Fiber gratings," in Optical Fibers and Sensors-Components and Subsystems, B. Culshhaw, and J. Dakin, Eds. Boston, MA : Artech House , 1996,vol. 3.