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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 3, Iss. 11 — Nov. 23, 1998
  • pp: 418–432

Nonlinear pulse propagation in birefringent fiber Bragg Gratings

Suresh Pereira and J.E. Sipe  »View Author Affiliations


Optics Express, Vol. 3, Issue 11, pp. 418-432 (1998)
http://dx.doi.org/10.1364/OE.3.000418


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Abstract

We present two sets of equations to describe nonlinear pulse propagation in a birefringent fiber Bragg grating. The first set uses a coupled-mode formalism to describe light in or near the photonic band gap of the grating. The second set is a pair of coupled nonlinear Schroedinger equations. We use these equations to examine viable switching experiments in the presence of birefringence. We show how the birefringence can both aid and hinder device applications.

© Optical Society of America

OCIS Codes
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.1150) Optical devices : All-optical devices
(260.1440) Physical optics : Birefringence

ToC Category:
Focus Issue: Bragg solitons and nonlinear optics of periodic structures

History
Original Manuscript: October 2, 1998
Published: November 23, 1998

Citation
Suresh Pereira and John Sipe, "Nonlinear pulse propagation in birefringent fiber Bragg gratings," Opt. Express 3, 418-432 (1998)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-3-11-418


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References

  1. Pochi Yeh, Optical Waves in Layered Media, (Wiley, New York, 1988).
  2. C. M. de Sterke and J. E. Sipe, "Gap Solitons" in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1994).
  3. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug and J. E. Sipe, "Bragg Grating Solitons," Phys. Lett. 76, 1627-30 (1996). [CrossRef]
  4. see, e.g., M. J. Steel and C. M. de Sterke, "Schroedinger equation description for cross-phase modulation in grating structures," Phys. Rev. A 49, 5048-55 (1994). [CrossRef] [PubMed]
  5. W. Samir, S. J. Garth and C. Pask, "Interplay of grating and nonlinearity in mode-coupling," J. Opt. Soc. Am. B 11, 64-71 (1994). [CrossRef]
  6. S. Lee and S. T. Ho, "Optical switching scheme based on the transmission of coupled gap solitons in nonlinear periodic dielectric media," Opt. Lett. 18, 962-64 (1993). [CrossRef] [PubMed]
  7. D. Taverner, N. G. R. Broderick, D. J. Richardson, M. Ibsen and R. I. Laming, "All-optical AND gate based on coupled gap-soliton formation in a fiber Bragg grating," Opt. Lett. 23, 259-61 (1998). [CrossRef]
  8. Y. Silberberg and Y. Barad, "Rotating vector solitary waves in isotropic fibers," Opt. Lett. 20, 246-48 (1995). [CrossRef] [PubMed]
  9. C. M. de Sterke, D. G. Salinas and J. E. Sipe, "Coupled-mode theory for light propagation through deep nonlinear gratings," Phys. Rev. E 54, 1969-89 (1996). [CrossRef]
  10. Govind Agrawal, Nonlinear Fiber Optics, (Academic Press, Boston, 1989).
  11. T. Erdogan and V. Mizrahi, "Characterization of UV-induced birefringence in photosensitive Ge-doped silica optical fibers," J. Opt. Soc. Am. B 11, 2100-05 (1994). [CrossRef]
  12. C. R. Menyuk, "Stability of solitons in birefringent optical fibers. I: Equal propagation amplitudes," Opt. Lett. 12, 614-16 (1987). [CrossRef] [PubMed]

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