Abstract

A brief historical narrative of the study of Bragg solitons and optical switching in nonlinear periodic structures is presented, beginning with the first theoretical predictions in the late 1970’s up to and including several recent experimental demonstrations of optical switching and nonlinear pulse propagation in these structures.

© Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |

  1. H. G. Winful et. al., "Theory of bistability in nonlinear distributed feedback structures" Appl. Phys. Lett. 35, 379 (1979).
    [CrossRef]
  2. H. G. Winful and G. I. Stegeman, "Applications of nonlinear periodic structures in guided wave optics" Proc. SPIE 517, 214 (1984).
  3. H. G. Winful and C. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices" Appl. Phys. Lett. 40, 298 (1982).
    [CrossRef]
  4. E. Yablonovitch, T. J. Gmitter, "Photonic band structure: the face-centered-cubic case" Phys. Rev. Lett., 63, 1950 (1989).
    [CrossRef] [PubMed]
  5. W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices" Phys. Rev. Lett. 58, 160 (1987).
    [CrossRef] [PubMed]
  6. D. L. Mills and S. E. Trullinger, "Gap solitons in nonlinear periodic structures" Phys. Rev. B 36, 947 (1987).
    [CrossRef]
  7. J. E. Sipe and H. G. Winful, "Nonlinear Schrodinger solitons in a periodic structure" Opt. Lett. 13, 132 (1988).
    [CrossRef] [PubMed]
  8. C. M. de Sterke and J. E. Sipe, "Envelope-function approach for the electrodynamics of nonlinear periodic structures" Phys. Rev. A 38, 5149 (1988).
    [CrossRef] [PubMed]
  9. D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in Nonlinear Periodic Structures" Phys. Rev. Lett. 62, 1746 (1989).
    [CrossRef] [PubMed]
  10. A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media" Phys. Lett. A 141, 37 (1989).
    [CrossRef]
  11. C. M. de Sterke and J. E. Sipe, "Extensions and generalizations of an envelope-function approach for the electrodynamics of nonlinear periodic structures" Phys. Rev. A, 39, 5163 (1989).
    [CrossRef] [PubMed]
  12. C. M. de Sterke and J. E. Sipe, "Coupled modes and the nonlinear Schrodinger equation" Phys. Rev. A 42, 550 (1990).
    [CrossRef]
  13. C. M. de Sterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study" Phys. Rev. A 42, 2858 (1990).
    [CrossRef] [PubMed]
  14. C. M. deSterke, K. R. Jackson and B. D. Robert, "Nonlinear coupled-mode equations on a finite interval: a numerical procedure" J. Opt. Soc. Am. B 8, 403 (1991).
    [CrossRef]
  15. N. G. R. Broderick, C. M. d. Sterke and K. R. Jackson, "Coupled mode equations with free carrier effects: a numerical solution" Opt. Quantum Electron. 26, S219 (1994).
    [CrossRef]
  16. J. Feng and F. K. Kneubuhl, "Solitons in a periodic structure with Kerr nonlinearity" IEEE J. Quantum Electronics 29, 590 (1993).
    [CrossRef]
  17. J. Feng, "Alternative scheme for studying gap solitons in an infinite periodic Kerr medium" Opt. Lett. 18, 1302 (1993).
    [CrossRef] [PubMed]
  18. A. B. Aceves et al., "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays" Opt. Lett. 19, 332 (1994).
    [CrossRef] [PubMed]
  19. M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer. "Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials" Phys. Rev. Lett. 73, 1368 (1994).
    [CrossRef] [PubMed]
  20. S. Radic, N. George, G. P. Agrawal, "Optical switching in l/4-shifted nonlinear periodic structures" Opt. Lett. 19, 1789 (1994).
    [CrossRef] [PubMed]
  21. P. St. J. Russell and J.-L. Archambault, "Field microstructure and temporal and spatial instability of photonc Bloch waves in nonlinear periodic structures" J. Phys. III France 4, 2471 (1994).
    [CrossRef]
  22. S. Larochelle, V. Mizrahi and G. Stegeman, "All-optical switching of grating transmission using cross-phase modulation in optical fibres" Electron. Lett. 26, 1459 (1990).
    [CrossRef]
  23. N. D. Sankey, D. F. Prelewitz and T. G. Brown, "All-optical switching in a nonlinear periodic waveguide structure" Appl. Phys. Lett. 60, 1427 (1992).
    [CrossRef]
  24. N. D. Sankey, D. F. Prelewitz and T. G. Brown, "Optical switching dynamics of the nonlinear Bragg reflector: comparison of theory and experiment" J. Appl. Phys. 73, 1 (1993).
    [CrossRef]
  25. Amy E. Bieber et. al., "Optical Switching in a metal-semiconductor-metal waveguide structure" Appl. Phys. Lett. 66, 3401 (1995).
    [CrossRef]
  26. Amy E. Bieber and T. G. Brown, "Integral coupler-resonator for silicon-based switching and modulation" Appl. Phys. Lett. 71, 861 (1995).
    [CrossRef]
  27. C. Herbert and M. Malcuit, Opt. Lett. 17, 1037 (1992).
    [CrossRef] [PubMed]
  28. J. He and M. Cada, "Optical bistability in semiconductor periodic structures" J. Quantum Electron. 27, 1182 (1991).
    [CrossRef]
  29. B. J. Eggleton, R. E. Slusher, C. M. deSterke, P. A. Krug, and J. E. Sipe "Bragg grating solitons" Phys. Rev. Lett. 76, 627 (1996).
  30. B. J. Eggleton, R. E. Slusher, C. M. deSterke, P. A. Krug, and J. E. Sipe, "Modulational instability and tunable multiple soliton generation in apodized fiber gratings" Opt. Commun. 149, 267 (1998).
    [CrossRef]
  31. N. G. R. Broderick, D. Taverner, D. J. Richardson, M. Ibsen and R. I. Laming, "Experimental Observation of nonlinear pulse compression in nonuniform Bragg gratings" Opt. Lett. 22, 1837 (1997).
    [CrossRef]

Other (31)

H. G. Winful et. al., "Theory of bistability in nonlinear distributed feedback structures" Appl. Phys. Lett. 35, 379 (1979).
[CrossRef]

H. G. Winful and G. I. Stegeman, "Applications of nonlinear periodic structures in guided wave optics" Proc. SPIE 517, 214 (1984).

H. G. Winful and C. D. Cooperman, "Self-pulsing and chaos in distributed feedback bistable optical devices" Appl. Phys. Lett. 40, 298 (1982).
[CrossRef]

E. Yablonovitch, T. J. Gmitter, "Photonic band structure: the face-centered-cubic case" Phys. Rev. Lett., 63, 1950 (1989).
[CrossRef] [PubMed]

W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices" Phys. Rev. Lett. 58, 160 (1987).
[CrossRef] [PubMed]

D. L. Mills and S. E. Trullinger, "Gap solitons in nonlinear periodic structures" Phys. Rev. B 36, 947 (1987).
[CrossRef]

J. E. Sipe and H. G. Winful, "Nonlinear Schrodinger solitons in a periodic structure" Opt. Lett. 13, 132 (1988).
[CrossRef] [PubMed]

C. M. de Sterke and J. E. Sipe, "Envelope-function approach for the electrodynamics of nonlinear periodic structures" Phys. Rev. A 38, 5149 (1988).
[CrossRef] [PubMed]

D. N. Christodoulides and R. I. Joseph, "Slow Bragg solitons in Nonlinear Periodic Structures" Phys. Rev. Lett. 62, 1746 (1989).
[CrossRef] [PubMed]

A. B. Aceves and S. Wabnitz, "Self-induced transparency solitons in nonlinear refractive periodic media" Phys. Lett. A 141, 37 (1989).
[CrossRef]

C. M. de Sterke and J. E. Sipe, "Extensions and generalizations of an envelope-function approach for the electrodynamics of nonlinear periodic structures" Phys. Rev. A, 39, 5163 (1989).
[CrossRef] [PubMed]

C. M. de Sterke and J. E. Sipe, "Coupled modes and the nonlinear Schrodinger equation" Phys. Rev. A 42, 550 (1990).
[CrossRef]

C. M. de Sterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study" Phys. Rev. A 42, 2858 (1990).
[CrossRef] [PubMed]

C. M. deSterke, K. R. Jackson and B. D. Robert, "Nonlinear coupled-mode equations on a finite interval: a numerical procedure" J. Opt. Soc. Am. B 8, 403 (1991).
[CrossRef]

N. G. R. Broderick, C. M. d. Sterke and K. R. Jackson, "Coupled mode equations with free carrier effects: a numerical solution" Opt. Quantum Electron. 26, S219 (1994).
[CrossRef]

J. Feng and F. K. Kneubuhl, "Solitons in a periodic structure with Kerr nonlinearity" IEEE J. Quantum Electronics 29, 590 (1993).
[CrossRef]

J. Feng, "Alternative scheme for studying gap solitons in an infinite periodic Kerr medium" Opt. Lett. 18, 1302 (1993).
[CrossRef] [PubMed]

A. B. Aceves et al., "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays" Opt. Lett. 19, 332 (1994).
[CrossRef] [PubMed]

M. Scalora, J. P. Dowling, C. M. Bowden, M. J. Bloemer. "Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials" Phys. Rev. Lett. 73, 1368 (1994).
[CrossRef] [PubMed]

S. Radic, N. George, G. P. Agrawal, "Optical switching in l/4-shifted nonlinear periodic structures" Opt. Lett. 19, 1789 (1994).
[CrossRef] [PubMed]

P. St. J. Russell and J.-L. Archambault, "Field microstructure and temporal and spatial instability of photonc Bloch waves in nonlinear periodic structures" J. Phys. III France 4, 2471 (1994).
[CrossRef]

S. Larochelle, V. Mizrahi and G. Stegeman, "All-optical switching of grating transmission using cross-phase modulation in optical fibres" Electron. Lett. 26, 1459 (1990).
[CrossRef]

N. D. Sankey, D. F. Prelewitz and T. G. Brown, "All-optical switching in a nonlinear periodic waveguide structure" Appl. Phys. Lett. 60, 1427 (1992).
[CrossRef]

N. D. Sankey, D. F. Prelewitz and T. G. Brown, "Optical switching dynamics of the nonlinear Bragg reflector: comparison of theory and experiment" J. Appl. Phys. 73, 1 (1993).
[CrossRef]

Amy E. Bieber et. al., "Optical Switching in a metal-semiconductor-metal waveguide structure" Appl. Phys. Lett. 66, 3401 (1995).
[CrossRef]

Amy E. Bieber and T. G. Brown, "Integral coupler-resonator for silicon-based switching and modulation" Appl. Phys. Lett. 71, 861 (1995).
[CrossRef]

C. Herbert and M. Malcuit, Opt. Lett. 17, 1037 (1992).
[CrossRef] [PubMed]

J. He and M. Cada, "Optical bistability in semiconductor periodic structures" J. Quantum Electron. 27, 1182 (1991).
[CrossRef]

B. J. Eggleton, R. E. Slusher, C. M. deSterke, P. A. Krug, and J. E. Sipe "Bragg grating solitons" Phys. Rev. Lett. 76, 627 (1996).

B. J. Eggleton, R. E. Slusher, C. M. deSterke, P. A. Krug, and J. E. Sipe, "Modulational instability and tunable multiple soliton generation in apodized fiber gratings" Opt. Commun. 149, 267 (1998).
[CrossRef]

N. G. R. Broderick, D. Taverner, D. J. Richardson, M. Ibsen and R. I. Laming, "Experimental Observation of nonlinear pulse compression in nonuniform Bragg gratings" Opt. Lett. 22, 1837 (1997).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics