Abstract

A nonlinear, coupled, magneto-optic waveguide system supporting bright and dark spatial solitons is investigated to determine the stability and possible application of the resulting bright-dark soliton dynamics. An extensive variational analysis is verified by full numerical simulations. It is discovered that the stability of the magneto-optic coupled states can be exploited to give guaranteed isolator functionality, which could lead to very robust component protection in monolithic integrated circuits.

© 2005 Optical Society of America

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  1. S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).
  2. N. Finlayson and G. I. Stegeman, "Spatial switching, instabilities, and chaos in a three-waveguide nonlinear directional coupler," Appl. Phys. Lett. 56, 2276-2278 (1990).
  3. F. Dios, X. Nogues, and F. Canal, "Critical power in a symmetric nonlinear directional coupler," Opt. Quantum Electron. 24, 1191-1201 (1992).
  4. D. L. Lee, Electromagnetic Principles of Integrated Optics (Wiley, New York, 1986).
  5. A. D. Boardman and M. Xie, "Spatial solitons in discontinuous magneto-optic waveguides," J. Opt. B Quantum Semiclassical Opt. 3, S244-S250 (2001).
  6. A. D. Boardman and M. Xie, "Vector spatial solitons in complex magneto-optic waveguides," J. Opt. Soc. Am. B 19, 563-572 (2002).
  7. A. D. Boardman and M. Xie, "Spatial solitons in modulatedmagneto-optic waveguides," in Soliton-Driven Photonics , A. D. Boardman and A. P. Sukhorukov, eds. (Kluwer, London, 2001).
  8. A. D. Boardman, M. Xie, and K. Xie, "Surface magneto-optic solitons," J. Phys. D 36, 2211-2217 (2003).
  9. A. D. Boardman, P. Egan, T. Twardowski, and M. Wilkins, "Nonlinear surface-guided waves in self-focusing optical media," in Nonlinear Waves in Solid State Physics , A. D. Boardman, M. Bertolotti, and T. Twardowski, eds. (Plenum, New York, 1991).
  10. G. I. Stegeman, "Introduction to monlinear optics: a selected overview," in Beam Shaping and Control with Nonlinear Optics , F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1997).
  11. K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).
  12. S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).
  13. Takenori Jekijima, Takashi Fujii, and Kikuo Wakino, "Optical Faraday rotator using Ce-substituted fibrous YIG single crystal grown by floating-zone method with YAG laser heating," IEEE Trans. Microwave Theory Tech. 47, 2294-2298 (1999).
  14. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
  15. A. D. Boardman and K. Xie, "Spatial bright-dark soliton steering through waveguide coupling," Opt. Quantum Electron. 30, 783-794 (1998).

2003 (1)

A. D. Boardman, M. Xie, and K. Xie, "Surface magneto-optic solitons," J. Phys. D 36, 2211-2217 (2003).

2002 (1)

2001 (1)

A. D. Boardman and M. Xie, "Spatial solitons in discontinuous magneto-optic waveguides," J. Opt. B Quantum Semiclassical Opt. 3, S244-S250 (2001).

2000 (1)

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

1999 (1)

Takenori Jekijima, Takashi Fujii, and Kikuo Wakino, "Optical Faraday rotator using Ce-substituted fibrous YIG single crystal grown by floating-zone method with YAG laser heating," IEEE Trans. Microwave Theory Tech. 47, 2294-2298 (1999).

1998 (1)

A. D. Boardman and K. Xie, "Spatial bright-dark soliton steering through waveguide coupling," Opt. Quantum Electron. 30, 783-794 (1998).

1993 (1)

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

1992 (1)

F. Dios, X. Nogues, and F. Canal, "Critical power in a symmetric nonlinear directional coupler," Opt. Quantum Electron. 24, 1191-1201 (1992).

1990 (1)

N. Finlayson and G. I. Stegeman, "Spatial switching, instabilities, and chaos in a three-waveguide nonlinear directional coupler," Appl. Phys. Lett. 56, 2276-2278 (1990).

1982 (1)

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).

Boardman, A. D.

A. D. Boardman, M. Xie, and K. Xie, "Surface magneto-optic solitons," J. Phys. D 36, 2211-2217 (2003).

Boardman , A. D.

A. D. Boardman and M. Xie, "Vector spatial solitons in complex magneto-optic waveguides," J. Opt. Soc. Am. B 19, 563-572 (2002).

A. D. Boardman and M. Xie, "Spatial solitons in discontinuous magneto-optic waveguides," J. Opt. B Quantum Semiclassical Opt. 3, S244-S250 (2001).

A. D. Boardman and K. Xie, "Spatial bright-dark soliton steering through waveguide coupling," Opt. Quantum Electron. 30, 783-794 (1998).

Canal, F.

F. Dios, X. Nogues, and F. Canal, "Critical power in a symmetric nonlinear directional coupler," Opt. Quantum Electron. 24, 1191-1201 (1992).

Darwish, A. M.

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

Dios, F.

F. Dios, X. Nogues, and F. Canal, "Critical power in a symmetric nonlinear directional coupler," Opt. Quantum Electron. 24, 1191-1201 (1992).

Finlayson , N.

N. Finlayson and G. I. Stegeman, "Spatial switching, instabilities, and chaos in a three-waveguide nonlinear directional coupler," Appl. Phys. Lett. 56, 2276-2278 (1990).

Fujii, Takashi

Takenori Jekijima, Takashi Fujii, and Kikuo Wakino, "Optical Faraday rotator using Ce-substituted fibrous YIG single crystal grown by floating-zone method with YAG laser heating," IEEE Trans. Microwave Theory Tech. 47, 2294-2298 (1999).

Hall, K. L.

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

Haugen, H. K.

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

Ippen, E. P.

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

Jekijima, Takenori

Takenori Jekijima, Takashi Fujii, and Kikuo Wakino, "Optical Faraday rotator using Ce-substituted fibrous YIG single crystal grown by floating-zone method with YAG laser heating," IEEE Trans. Microwave Theory Tech. 47, 2294-2298 (1999).

Jensen, S. M.

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).

Koren, U.

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

Mascher, P.

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

Nogues, X.

F. Dios, X. Nogues, and F. Canal, "Critical power in a symmetric nonlinear directional coupler," Opt. Quantum Electron. 24, 1191-1201 (1992).

Raybon, G.

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

Robinson, B. J.

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

Stegeman, G. I.

N. Finlayson and G. I. Stegeman, "Spatial switching, instabilities, and chaos in a three-waveguide nonlinear directional coupler," Appl. Phys. Lett. 56, 2276-2278 (1990).

Thompson, D. A.

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

Wakino, Kikuo

Takenori Jekijima, Takashi Fujii, and Kikuo Wakino, "Optical Faraday rotator using Ce-substituted fibrous YIG single crystal grown by floating-zone method with YAG laser heating," IEEE Trans. Microwave Theory Tech. 47, 2294-2298 (1999).

Wallance, S. G.

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

Xie, K.

A. D. Boardman, M. Xie, and K. Xie, "Surface magneto-optic solitons," J. Phys. D 36, 2211-2217 (2003).

A. D. Boardman and K. Xie, "Spatial bright-dark soliton steering through waveguide coupling," Opt. Quantum Electron. 30, 783-794 (1998).

Xie, M.

A. D. Boardman, M. Xie, and K. Xie, "Surface magneto-optic solitons," J. Phys. D 36, 2211-2217 (2003).

A. D. Boardman and M. Xie, "Vector spatial solitons in complex magneto-optic waveguides," J. Opt. Soc. Am. B 19, 563-572 (2002).

A. D. Boardman and M. Xie, "Spatial solitons in discontinuous magneto-optic waveguides," J. Opt. B Quantum Semiclassical Opt. 3, S244-S250 (2001).

Appl. Phys. Lett. (3)

K. L. Hall, A. M. Darwish, E. P. Ippen, U. Koren, and G. Raybon, "Femtosecond index nonlinearities in InGaAsP optical amplifiers," Appl. Phys. Lett. 62, 1320-1322 (1993).

S. G. Wallance, B. J. Robinson, P. Mascher, H. K. Haugen, and D. A. Thompson, "Refractive indices of InGaAsP lattice-matched to GaAs at wavelength relevant to device design," Appl. Phys. Lett. 76, 2791-2793 (2000).

N. Finlayson and G. I. Stegeman, "Spatial switching, instabilities, and chaos in a three-waveguide nonlinear directional coupler," Appl. Phys. Lett. 56, 2276-2278 (1990).

IEEE J. Quantum Electron. (1)

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. 18, 1580-1583 (1982).

IEEE Trans. Microwave Theory Tech. (1)

Takenori Jekijima, Takashi Fujii, and Kikuo Wakino, "Optical Faraday rotator using Ce-substituted fibrous YIG single crystal grown by floating-zone method with YAG laser heating," IEEE Trans. Microwave Theory Tech. 47, 2294-2298 (1999).

J. Opt. B Quantum Semiclassical Opt. (1)

A. D. Boardman and M. Xie, "Spatial solitons in discontinuous magneto-optic waveguides," J. Opt. B Quantum Semiclassical Opt. 3, S244-S250 (2001).

J. Opt. Soc. Am. B (1)

J. Phys. D (1)

A. D. Boardman, M. Xie, and K. Xie, "Surface magneto-optic solitons," J. Phys. D 36, 2211-2217 (2003).

Opt. Quantum Electron. (2)

A. D. Boardman and K. Xie, "Spatial bright-dark soliton steering through waveguide coupling," Opt. Quantum Electron. 30, 783-794 (1998).

F. Dios, X. Nogues, and F. Canal, "Critical power in a symmetric nonlinear directional coupler," Opt. Quantum Electron. 24, 1191-1201 (1992).

Other (5)

D. L. Lee, Electromagnetic Principles of Integrated Optics (Wiley, New York, 1986).

A. D. Boardman and M. Xie, "Spatial solitons in modulatedmagneto-optic waveguides," in Soliton-Driven Photonics , A. D. Boardman and A. P. Sukhorukov, eds. (Kluwer, London, 2001).

A. D. Boardman, P. Egan, T. Twardowski, and M. Wilkins, "Nonlinear surface-guided waves in self-focusing optical media," in Nonlinear Waves in Solid State Physics , A. D. Boardman, M. Bertolotti, and T. Twardowski, eds. (Plenum, New York, 1991).

G. I. Stegeman, "Introduction to monlinear optics: a selected overview," in Beam Shaping and Control with Nonlinear Optics , F. Kajzar and R. Reinisch, eds. (Plenum, New York, 1997).

G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).

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