Switching through symmetry breaking in coupled nonlinear micro-cavities.

We describe stable symmetry-breaking states in systems with two coupled nonlinear cavities, using coupled-mode theory and rigorous simulations. Above a threshold input level the symmetric state of the passive Kerr system becomes unstable, and we show how this phenomenon can be employed for switching and flip-flop purposes, using positive pulses only. A device with compact photonic crystal microcavities is proposed by which we numerically demonstrate the principle.

[1]  Zheng Wang,et al.  Optical circulators in two-dimensional magneto-optical photonic crystals. , 2005 .

[2]  C. Fabre,et al.  Experimental evidence of spontaneous symmetry breaking in intracavity type II second-harmonic generation with triple resonance. , 2004, Optics letters.

[3]  K. Ikeda,et al.  Hierarchical multistability and cooperative flip-flop operation in a bistable optical system with distributed nonlinear elements. , 1987, Optics letters.

[4]  Roel Baets,et al.  Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers , 2001 .

[5]  N. Loiko,et al.  Self-sustained pulsations of light in a nonlinear thin-film system (8 pages) , 2005 .

[6]  Steven G. Johnson,et al.  Optimal bistable switching in nonlinear photonic crystals. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Kenju Otsuka,et al.  All-optical flip-flop operations in a coupled element bistable device , 1988 .

[8]  Roel Baets,et al.  Switching in coupled nonlinear photonic-crystal resonators , 2005 .

[9]  K. Otsuka,et al.  Pitchfork bifurcation and all-optical digital signal processing with a coupled-element bistable system. , 1989, Optics letters.

[10]  Roel Baets,et al.  Modeling of Kerr nonlinear photonic components with mode expansion , 2004 .

[11]  Masaya Notomi,et al.  Optical bistable switching action of Si high-Q photonic-crystal nanocavities. , 2005, Optics express.

[12]  J. Torres,et al.  BILATERAL SYMMETRY BREAKING IN A NONLINEAR FABRY-PEROT CAVITY EXHIBITING OPTICAL TRISTABILITY , 1999, patt-sol/9908004.

[13]  Shanhui Fan,et al.  High-contrast all-optical bistable switching in photonic crystal microcavities , 2003 .

[14]  J. D. Joannopoulos,et al.  Enhancement of nonlinear effects using photonic crystals , 2004, Nature materials.

[15]  M Haelterman,et al.  Pitchfork bifurcation using a two-beam nonlinear Fabry-Perot interferometer: an analytical study. , 1990, Optics letters.

[16]  Yuri S. Kivshar,et al.  Nonlinear transmission and light localization in photonic-crystal waveguides , 2002 .

[17]  Oskar Painter,et al.  Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper. , 2005, Optics express.

[18]  N. Loiko,et al.  PHYSICAL BASIS OF QUANTUM ELECTRONICS: Symmetry breaking in optical dynamics of two bistable thin films , 1998 .