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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1544–1555

Radiation modes and tilted fiber gratings

Yufeng Li and Thomas G. Brown  »View Author Affiliations


JOSA B, Vol. 23, Issue 8, pp. 1544-1555 (2006)
http://dx.doi.org/10.1364/JOSAB.23.001544


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Abstract

Scattering from tilted fiber gratings into free space is useful in various filtering and monitoring applications. We develop a waveguide-scattering analysis based on the coupled-mode theory and new sets of radiation modes that resemble the HE and EH guided modes of an optical fiber. By simplifying the calculation of modal coupling coefficients and the scattered field, this approach allows us to verify the results from free-space perturbation models such as the volume-current method. The HE and EH radiation modes defined here are suitable for scattering analysis of cylindrical waveguides in general.

© 2006 Optical Society of America

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

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 9, 2006
Manuscript Accepted: February 20, 2006

Citation
Yufeng Li and Thomas G. Brown, "Radiation modes and tilted fiber gratings," J. Opt. Soc. Am. B 23, 1544-1555 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-8-1544


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References

  1. G. Meltz, W. W. Morey, and W. H. Glenn, "In-fiber Bragg grating tap," in Optical Fiber Communication Conference, Vol. 1 of 1990 OSA Technical Digest Series (Optical Society of America, 1990), paper TuG1.
  2. R. Kashyap, R. Wyatt, and R. J. Campbell, "Wideband gain flattened erbium fibre amplifier using a photosensitive fibre blazed grating," Electron. Lett. 29, 154-156 (1993).
  3. J. L. Wagener, T. A. Strasser, J. R. Pedrazanni, J. DeMarco, and D. J. DiGiovanni, "Fiber grating optical spectrum analyzer tap," in Proceedings of the European Conference on Optical Communication (ECOC'97), IEE Conference Publication (ECOC, 1997), Vol. 448, pp. 65-68
  4. K. S. Feder, P. S. Westbrook, J. Ging, P. I. Reyes, and G. E. Carver, "In-fiber spectrometer using tilted fiber gratings," IEEE Photon. Technol. Lett. 15, 933-935 (2003).
  5. S. Wielandy and S. C. Dunn, "Tilted superstructure fiber grating used as a Fourier-transform spectrometer," Opt. Lett. 29, 1614-1616 (2004).
  6. R. Kashyap, R. Wyatt, and P. F. McKee, "Wavelength flattened saturated erbium amplifier using multiple side-tap Bragg gratings," Electron. Lett. 29, 1025-1026 (1993).
  7. M. J. Holmes, R. Kashyap, R. Wyatt, and R. P. Smith, "Ultra narrow-band optical fibre side-tap," in Proceedings of the European Conference on Optical Communication (ECOC'98), IEEE Catalog 98TH8398 (ECOC, 1998), pp. 137-138.
  8. P. S. Westbrook, T. A. Strasser, and T. Erdogan, "In-line polarimeter using blazed fiber gratings," IEEE Photon. Technol. Lett. 12, 1352-1354 (2000).
  9. J. Peupelmann, E. Krause, A. Bandemer, and C. Schaffer, "Fibre-polarimeter based on grating taps," Electron. Lett. 38, 1248-1250 (2002).
  10. S. J. Mihailov, R. B. Walker, T. J. Stocki, and D. C. Johnson, "Fabrication of tilted fibre-grating polarisation-dependent loss equalizer," Electron. Lett. 37, 284-286 (2001).
  11. P. I. Reyes and P. S. Westbrook, "Tunable PDL of twisted-tilted fiber gratings," IEEE Photon. Technol. Lett. 15, 828-830 (2003).
  12. K. M. Zhou, G. Simpson, X. F. Chen, L. Zhang, and I. Bennion, "High extinction ratio in-fiber polarizers based on 45 degrees tilted fiber Bragg gratings," Opt. Lett. 30, 1285-1287 (2005).
  13. T. Erdogan and J. E. Sipe, "Tilted fiber phase gratings," J. Opt. Soc. Am. A 13, 296-313 (1996).
  14. A. W. Snyder, "Radiation on losses due to variations of radius dielectric or optical fibers," IEEE Trans. Microwave Theory Tech. MTT-18, 608-615 (1970).
  15. Y. Li, M. Froggatt, and T. Erdogan, "Volume current method for analysis of tilted fiber gratings," J. Lightwave Technol. 19, 1580-1591 (2001).
  16. R. B. Walker, S. J. Mihailov, P. Lu, D. Grobnic, "Shaping the radiation field of tilted fiber Bragg gratings," J. Opt. Soc. Am. B 22, 962-974 (2005).
  17. M. J. Holmes, R. Kashyap, and R. Wyatt, "Physical properties of optical fiber sidetap grating filters: free-space model," IEEE J. Sel. Top. Quantum Electron. 5, 1353-1365 (1999).
  18. A. W. Snyder, "Continuous mode spectrum of a circular dielectric rod," IEEE Trans. Microwave Theory Tech. MTT-19, 720-727 (1971).
  19. D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic, 1991).
  20. D. Marcuse, "Radiation losses of the dominant mode in round dielectric waveguides," Bell Syst. Tech. J. 49, 1665-1693 (1970).
  21. Y. Li, S. Wielandy, G. E. Carver, P. I. Reyes, and P. S. Westbrook, "Scattering from nonuniform tilted fiber gratings," Opt. Lett. 29, 1330-1332 (2004).
  22. Leopold B. Felsen and Nathan Marcuvitz, Radiation and Scattering of Waves, (Prentice-Hall, 1973).
  23. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic, 1994), Section 8.530.
  24. Y. Li, S. Wielandy, G. E. Carver, H. L. Durko, and P. S. Westbrook, "Influence of longitudinal mode field in grating scattering from weakly guided optical fiber waveguides," Opt. Lett. 29, 691-693 (2004).

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