Abstract

We introduce simple model equations describing the dynamics of light in thin photonic crystal films with Kerr nonlinearity. We report modulational instabilities and bright and dark localized structures of light that exist in this system in the proximity of Fano resonances.

© 2005 Optical Society of America

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

Nature (1)

S. Barland, J.R. Tredicce, M. Brambilla, L.A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, and R. Jager, �??Cavity solitons as pixels in semiconductor microcavities,�?? Nature 419, 699-702 (2002).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. B (2)

S.H. Fan, J.D. Joannopoulos, �??Analysis of guided resonances in photonic crystal slabs,�?? Phys. Rev. B 65, 235112-235120 (2002).
[CrossRef]

V. Lousse and J.P. Vigneron, �??Use of Fano resonances for bistable optical transfer through photonic crystal films,�?? Phys. Rev. B 69, 155106-155117 (2004).
[CrossRef]

Phys. Rev. E (2)

A. R. Cowan ans J.F. Young, �??Optical bistability involving photonic crystal microcavities and Fano line shapes,�?? Phys. Rev. E 68, 046606-046622 (2003).
[CrossRef]

N. Akzbek and S. John, �??Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,�?? Phys. Rev. E 57, 2287-2319 (1998).
[CrossRef]

Phys. Rev. Lett. (3)

B. Schapers, M. Feldmann, T. Ackemann, andW. Lange, �??Interaction of localized structures in an optical patternforming system,�?? Phys. Rev. Lett. 85, 748-751 (2000).
[CrossRef]

K. Staliunas, �??Midband dissipative spatial solitons,�?? Phys. Rev. Lett. 91, 053901-053905 (2003).
[CrossRef]

D. Gomila, R. Zambrini, and G.-L. Oppo, �??Photonic band-gap inhibition of modulational instabilities,�?? Phys. Rev. Lett. 92, 253904-253908 (2004).
[CrossRef]

Prog. Opt. (1)

N.N. Rosanov, "Transverse patterns in wide-aperture nonlinear optical systems,�?? Prog. Opt. 35, 1-60 (1996).

Other (3)

W.J. Firth and G.K. Harkness, "Existence, stability, and properties of cavity solitons,�?? in �??Spatial Solitons�??, Eds. S. Trillo and W. Torruelas (Springer, 2001), pp. 343-358.

S. Trillo and M. Haeleterman, "Parametric solitons in passive structures with feedback,�?? in �??Spatial Solitons�??, Eds. S. Trillo and W. Torruelas (Springer, 2001), pp. 359-394.

C.M. de Sterke, B.J. Eggleton, and J.E. Sipe, �??Bragg solitons: Theory and experiment,�?? in �??Spatial Solitons�??, Eds. S. Trillo and W. Torruelas (Springer, 2001), pp. 169-210.

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