Abstract

We describe the effect of symmetry breaking in a system with two coupled Fano resonators. A general criterion is derived and optimal parameter regions for switching are identified. By extending the single resonator behavior we show that one achieves the effect at very low input powers.

© 2008 Optical Society of America

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  1. U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866 (1961).
    [CrossRef]
  2. V. Lousse, and J. P. Vigneron, "Use of Fano resonances for bistable optical transfer through photonic crystal films," Phys. Rev. E 69, 155106 (2004).
  3. J. E. Heebner, R. W. Boyd, and Q-H. Park, "SCISSOR solitons and other novel propagation effects in microresonator-modified waveguides," J. Opt. Soc. Am. B 19, 722-731 (2002).
  4. B. Maes, P. Bienstman, and R. Baets, "Switching in coupled nonlinear photonic-crystal resonators," J. Opt. Soc. Am. B 22, 1778-1784 (2005).
    [CrossRef]
  5. B. Maes, M. Solja¡ci’c, J.D. Joannopoulos, P. Bienstman, R. Baets, S-P. Gorza, and M. Haelterman, "Switching through symmetry breaking in coupled nonlinear micro-cavities," Opt. Express 14, 10678-10683 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10678.
    [CrossRef]
  6. P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Express 13, 801-820 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-3-801.
    [CrossRef]
  7. M. Notomi, A. Shinya, S. Mitsugi, G. Kira, E. Kuramochi, and T. Tanabe, "Optical bistable switching action of Si high-Q photonic-crystal nanocavities," Opt. Express 13, 2678-2687 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-7-2678.
    [CrossRef]
  8. T. Uesugi, B-S. Song, T. Asano, and S. Noda, "Investigation of optical nonlinearities in an ultrahigh-Q Si nanocavity in a two-dimensional photonic crystal slab," Opt. Express 14, 377-386 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-1-377.
    [CrossRef]
  9. Y. Lu, J. Yao, X. Li, and P. Wang, "Tunable asymmetrical Fano resonance and bistability in a microcavityresonator-coupled Mach-Zehnder interferometer," Opt. Lett. 30, 3069-3071 (2005).
    [CrossRef]
  10. S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80, 908-910 (2002).
    [CrossRef]
  11. P. Bienstman and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).
    [CrossRef]
  12. S. Fan, W. Suh, and J. D. Joannopoulos, "Temporal coupled-mode theory for the Fano resonance in optical resonators," J. Opt. Soc. Am. A 20, 569-572 (2003).
    [CrossRef]
  13. M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

2006 (2)

2005 (4)

2004 (1)

V. Lousse, and J. P. Vigneron, "Use of Fano resonances for bistable optical transfer through photonic crystal films," Phys. Rev. E 69, 155106 (2004).

2003 (1)

2002 (3)

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

J. E. Heebner, R. W. Boyd, and Q-H. Park, "SCISSOR solitons and other novel propagation effects in microresonator-modified waveguides," J. Opt. Soc. Am. B 19, 722-731 (2002).

S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80, 908-910 (2002).
[CrossRef]

2001 (1)

P. Bienstman and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).
[CrossRef]

1961 (1)

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866 (1961).
[CrossRef]

Asano, T.

Baets, R.

B. Maes, P. Bienstman, and R. Baets, "Switching in coupled nonlinear photonic-crystal resonators," J. Opt. Soc. Am. B 22, 1778-1784 (2005).
[CrossRef]

P. Bienstman and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).
[CrossRef]

Barclay, P. E.

Bienstman, P.

B. Maes, P. Bienstman, and R. Baets, "Switching in coupled nonlinear photonic-crystal resonators," J. Opt. Soc. Am. B 22, 1778-1784 (2005).
[CrossRef]

P. Bienstman and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).
[CrossRef]

Boyd, R. W.

Fan, S.

S. Fan, W. Suh, and J. D. Joannopoulos, "Temporal coupled-mode theory for the Fano resonance in optical resonators," J. Opt. Soc. Am. A 20, 569-572 (2003).
[CrossRef]

S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80, 908-910 (2002).
[CrossRef]

Fano, U.

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866 (1961).
[CrossRef]

Fink, Y.

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

Heebner, J. E.

Ibanescu, M.

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

Joannopoulos, J. D.

S. Fan, W. Suh, and J. D. Joannopoulos, "Temporal coupled-mode theory for the Fano resonance in optical resonators," J. Opt. Soc. Am. A 20, 569-572 (2003).
[CrossRef]

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

Johnson, S. G.

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

Kira, G.

Kuramochi, E.

Li, X.

Lousse, V.

V. Lousse, and J. P. Vigneron, "Use of Fano resonances for bistable optical transfer through photonic crystal films," Phys. Rev. E 69, 155106 (2004).

Lu, Y.

Maes, B.

Mitsugi, S.

Noda, S.

Notomi, M.

Painter, O.

Park, Q-H.

Shinya, A.

Solja¡cic, M.

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

Song, B-S.

Srinivasan, K.

Suh, W.

Tanabe, T.

Uesugi, T.

Vigneron, J. P.

V. Lousse, and J. P. Vigneron, "Use of Fano resonances for bistable optical transfer through photonic crystal films," Phys. Rev. E 69, 155106 (2004).

Wang, P.

Yao, J.

Appl. Phys. Lett. (1)

S. Fan, "Sharp asymmetric line shapes in side-coupled waveguide-cavity systems," Appl. Phys. Lett. 80, 908-910 (2002).
[CrossRef]

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

J. Opt. Soc. Am. B (2)

Opt. Express (4)

Opt. Lett. (1)

Opt. Quantum Electron. (1)

P. Bienstman and R. Baets, "Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers," Opt. Quantum Electron. 33, 327-341 (2001).
[CrossRef]

Phys. Rev. (1)

U. Fano, "Effects of configuration interaction on intensities and phase shifts," Phys. Rev. 124, 1866 (1961).
[CrossRef]

Phys. Rev. E (2)

V. Lousse, and J. P. Vigneron, "Use of Fano resonances for bistable optical transfer through photonic crystal films," Phys. Rev. E 69, 155106 (2004).

M. Solja¡cic, M. Ibanescu, S. G. Johnson, Y. Fink, and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals," Phys. Rev. E 66, 055601(R) (2002).

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