Optical bistability and cutoff solitons in photonic bandgap fibers.

We present detailed theoretical and numerical analysis of certain novel non-linear optical phenomena enabled by photonic bandgap fibers. In particular, we demonstrate the feasibility of optical bistability in an axially modulated nonlinear photonic bandgap fiber through analytical theory and detailed numerical experiments. At 1.55microm carrier wavelength, the in-fiber devices we propose can operate with only a few tens of mW of power, have a nearly instantaneous response and recovery time, and be shorter than 100microm. Furthermore, we predict existence of gap-like solitons (which have thus-far been described only in axially periodic systems) in axially uniform photonic bandgap fibers.

[1]  J. Broeng,et al.  Photonic crystal fibers , 2003, Proceedings of the 2003 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference - IMOC 2003. (Cat. No.03TH8678).

[2]  Steven G. Johnson,et al.  Optical bistability in axially modulated OmniGuide fibers. , 2003, Optics letters.

[3]  P. Russell,et al.  Photonic Crystal Fibers , 2003, Science.

[4]  J. Joannopoulos,et al.  Wavelength-scalable hollow optical fibres with large photonic bandgaps for CO2 laser transmission , 2002, Nature.

[5]  Daniel Maystre,et al.  Microstructured optical fibers: where's the edge? , 2002, Optics express.

[6]  F. Wise,et al.  Highly nonlinear Ge-As-Se and Ge-As-S-Se glasses for all-optical switching , 2002, IEEE Photonics Technology Letters.

[7]  A. Yariv.  Critical coupling and its control in optical waveguide-ring resonator systems , 2002, IEEE Photonics Technology Letters.

[8]  Burak Temelkuran,et al.  External Reflection from Omnidirectional Dielectric Mirror Fibers , 2002, Science.

[9]  M Ibanescu,et al.  Low-loss asymptotically single-mode propagation in large-core OmniGuide fibers. , 2001, Optics express.

[10]  Steven G. Johnson,et al.  Multipole-cancellation mechanism for high-Q cavities in the absence of a complete photonic band gap , 2001 .

[11]  Steven G. Johnson,et al.  Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis. , 2001, Optics express.

[12]  S Spälter,et al.  Large Kerr effect in bulk Se-based chalcogenide glasses. , 2000, Optics letters.

[13]  J. Joannopoulos,et al.  Guiding optical light in air using an all-dielectric structure , 1999 .

[14]  Knight,et al.  Single-Mode Photonic Band Gap Guidance of Light in Air. , 1999, Science.

[15]  J E Heebner,et al.  Enhanced all-optical switching by use of a nonlinear fiber ring resonator. , 1999, Optics letters.

[16]  S. Coen,et al.  Competition between modulational instability and switching in optical bistability. , 1999, Optics letters.

[17]  M Ibsen,et al.  Nonlinear self-switching and multiple gap-soliton formation in a fiber Bragg grating. , 1998, Optics letters.

[18]  Qiming Li,et al.  Optical nonlinear response of a single nonlinear dielectric layer sandwiched between two linear dielectric structures , 1997 .

[19]  Henry I. Smith,et al.  Photonic-bandgap microcavities in optical waveguides , 1997, Nature.

[20]  Benjamin J. Eggleton,et al.  Nonlinear pulse propagation in Bragg gratings , 1997 .

[21]  Siegfried Janz,et al.  Low threshold optical bistable switching in an asymmetric λ/4‐shifted distributed‐feedback heterostructure , 1995 .

[22]  Govind P. Agrawal,et al.  Theory of low-threshold optical switching in nonlinear phase-shifted periodic structures , 1995 .

[23]  Sipe,et al.  Switching dynamics of finite periodic nonlinear media: A numerical study. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[24]  Joseph,et al.  Slow Bragg solitons in nonlinear periodic structures. , 1989, Physical review letters.

[25]  Sipe,et al.  Envelope-function approach for the electrodynamics of nonlinear periodic structures. , 1988, Physical review. A, General physics.

[26]  Chen,et al.  Gap solitons and the nonlinear optical response of superlattices. , 1987, Physical review letters.

[27]  Elsa Garmire,et al.  Theory of bistability in nonlinear distributed feedback structures (A) , 1979 .

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