Dissipative localized structures of light in photonic crystal films

doi:10.1364/OPEX.13.003529

Optics Express

Editor: Michael Duncan
Vol. 13, Iss. 9 — May. 2, 2005
pp: 3529–3534

Dissipative localized structures of light in photonic crystal films

A. Yulin, Dmitry Skryabin, and P. Russell »View Author Affiliations

Optics Express, Vol. 13, Issue 9, pp. 3529-3534 (2005)
http://dx.doi.org/10.1364/OPEX.13.003529

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Abstract
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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.

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Research Papers

History
Original Manuscript: March 25, 2005
Revised Manuscript: April 26, 2005
Published: May 2, 2005

Citation
A. Yulin, Dmitry Skryabin, and P. Russell, "Dissipative localized structures of light in photonic crystal films," Opt. Express 13, 3529-3534 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-9-3529

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References

N.N. Rosanov, "Transverse patterns in wide-aperture nonlinear optical systems,�?? Prog. Opt. 35, 1-60 (1996). [CrossRef]
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.
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] [PubMed]
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] [PubMed]
K. Staliunas, �??Midband dissipative spatial solitons,�?? Phys. Rev. Lett. 91, 053901-053905 (2003). [CrossRef] [PubMed]
U. Peschel, O. Egorov, ans F. Lederer, �??Discrete cavity soliton,�?? Opt. Lett. 29, 1909-1911 (2004). [CrossRef] [PubMed]
D. Gomila, R. Zambrini, and G.-L. Oppo, �??Photonic band-gap inhibition of modulational instabilities,�?? Phys. Rev. Lett. 92, 253904-253908 (2004). [CrossRef] [PubMed]
J.M. Pottage, E. Silvestre, and P.St.J. Russell, �??Vertical-cavity surface-emitting resonances in photonic crystal films,�?? J. Opt. Soc. Am. A 18, 442-447 (2001). [CrossRef]
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]
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]
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.
K. Ogusu, J. Yamasaki, and Sh. Maeda, �??Linear and nonlinear optical properties of Ag-As-Se chalcogenide glasses for all-optical switching,�?? Opt. Lett. 29, 265-267 (2004). [CrossRef] [PubMed]

J. Opt. Soc. Am. A

J.M. Pottage, E. Silvestre, and P.St.J. Russell, �??Vertical-cavity surface-emitting resonances in photonic crystal films,�?? J. Opt. Soc. Am. A 18, 442-447 (2001). [CrossRef]

Nature

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] [PubMed]

Opt. Lett.

Phys. Rev. B

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

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.

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] [PubMed]
K. Staliunas, �??Midband dissipative spatial solitons,�?? Phys. Rev. Lett. 91, 053901-053905 (2003). [CrossRef] [PubMed]
D. Gomila, R. Zambrini, and G.-L. Oppo, �??Photonic band-gap inhibition of modulational instabilities,�?? Phys. Rev. Lett. 92, 253904-253908 (2004). [CrossRef] [PubMed]

Prog. Opt.

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

Other

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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