B. Maes, P. Bienstman, and R. Baets, "Modeling of Kerr nonlinear photonic components with mode expansion," Opt. Quantum Electron. 36, 15-24 (2004).

[CrossRef]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

V. Lousse and J. P. Vigneron, "Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials," Phys. Rev. E 63, 027602 (2001).

[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]

S. F. Mingaleev, Y. S. Kivshar, and R. A. Sammut, "Long-range interaction and nonlinear localized modes in photonic crystal waveguides," Phys. Rev. E 62, 5777-5782 (2000).

[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).

[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

N. Aközbek and S. John, "Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures," Phys. Rev. E 57, 2287-2319 (1998).

[CrossRef]

P. Tran, "Photonic-band-structure calculation of material possessing Kerr nonlinearity," Phys. Rev. B 52, 10673-10676 (1995).

[CrossRef]

D. Cai, A. R. Bishop, and N. Gronbech-Jensen, "Localized states in discrete nonlinear Schrödinger equations," Phys. Rev. Lett. 72, 591-595 (1994).

[CrossRef]
[PubMed]

S. John and N. Aközbek, "Nonlinear optical solitary waves in a photonic band gap," Phys. Rev. Lett. 71, 1168-1171 (1993).

[CrossRef]
[PubMed]

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).

[CrossRef]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964).

[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

N. Aközbek and S. John, "Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures," Phys. Rev. E 57, 2287-2319 (1998).

[CrossRef]

S. John and N. Aközbek, "Nonlinear optical solitary waves in a photonic band gap," Phys. Rev. Lett. 71, 1168-1171 (1993).

[CrossRef]
[PubMed]

B. Maes, P. Bienstman, and R. Baets, "Modeling of Kerr nonlinear photonic components with mode expansion," Opt. Quantum Electron. 36, 15-24 (2004).

[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]

B. Maes, P. Bienstman, and R. Baets, "Modeling of Kerr nonlinear photonic components with mode expansion," Opt. Quantum Electron. 36, 15-24 (2004).

[CrossRef]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

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]

D. Cai, A. R. Bishop, and N. Gronbech-Jensen, "Localized states in discrete nonlinear Schrödinger equations," Phys. Rev. Lett. 72, 591-595 (1994).

[CrossRef]
[PubMed]

D. Cai, A. R. Bishop, and N. Gronbech-Jensen, "Localized states in discrete nonlinear Schrödinger equations," Phys. Rev. Lett. 72, 591-595 (1994).

[CrossRef]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964).

[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964).

[CrossRef]

D. Cai, A. R. Bishop, and N. Gronbech-Jensen, "Localized states in discrete nonlinear Schrödinger equations," Phys. Rev. Lett. 72, 591-595 (1994).

[CrossRef]
[PubMed]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

A. Huttunen and P. Törmä, "Band structures for nonlinear photonic crystals," J. Appl. Phys. 91, 3988-3991 (2002).

[CrossRef]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

N. Aközbek and S. John, "Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures," Phys. Rev. E 57, 2287-2319 (1998).

[CrossRef]

S. John and N. Aközbek, "Nonlinear optical solitary waves in a photonic band gap," Phys. Rev. Lett. 71, 1168-1171 (1993).

[CrossRef]
[PubMed]

V. Lousse and J. P. Vigneron, "Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials," Phys. Rev. E 63, 027602 (2001).

[CrossRef]

B. Maes, P. Bienstman, and R. Baets, "Modeling of Kerr nonlinear photonic components with mode expansion," Opt. Quantum Electron. 36, 15-24 (2004).

[CrossRef]

S. F. Mingaleev, Y. S. Kivshar, and R. A. Sammut, "Long-range interaction and nonlinear localized modes in photonic crystal waveguides," Phys. Rev. E 62, 5777-5782 (2000).

[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

S. F. Mingaleev, Y. S. Kivshar, and R. A. Sammut, "Long-range interaction and nonlinear localized modes in photonic crystal waveguides," Phys. Rev. E 62, 5777-5782 (2000).

[CrossRef]

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).

[CrossRef]
[PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).

[CrossRef]
[PubMed]

A. Huttunen and P. Törmä, "Band structures for nonlinear photonic crystals," J. Appl. Phys. 91, 3988-3991 (2002).

[CrossRef]

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964).

[CrossRef]

P. Tran, "Photonic-band-structure calculation of material possessing Kerr nonlinearity," Phys. Rev. B 52, 10673-10676 (1995).

[CrossRef]

V. Lousse and J. P. Vigneron, "Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials," Phys. Rev. E 63, 027602 (2001).

[CrossRef]

A. Huttunen and P. Törmä, "Band structures for nonlinear photonic crystals," J. Appl. Phys. 91, 3988-3991 (2002).

[CrossRef]

A. W. Snyder, D. J. Mitchell, L. Poladian, and F. Ladouceur, "Self-induced optical fibers - spatial solitary waves," Opt. Lett. 16, 21-23 (1991).

[CrossRef]
[PubMed]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).

[CrossRef]

B. Maes, P. Bienstman, and R. Baets, "Modeling of Kerr nonlinear photonic components with mode expansion," Opt. Quantum Electron. 36, 15-24 (2004).

[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]

P. Tran, "Photonic-band-structure calculation of material possessing Kerr nonlinearity," Phys. Rev. B 52, 10673-10676 (1995).

[CrossRef]

V. Lousse and J. P. Vigneron, "Self-consistent photonic band structure of dielectric superlattices containing nonlinear optical materials," Phys. Rev. E 63, 027602 (2001).

[CrossRef]

N. Aközbek and S. John, "Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures," Phys. Rev. E 57, 2287-2319 (1998).

[CrossRef]

S. F. Mingaleev, Y. S. Kivshar, and R. A. Sammut, "Long-range interaction and nonlinear localized modes in photonic crystal waveguides," Phys. Rev. E 62, 5777-5782 (2000).

[CrossRef]

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).

[CrossRef]
[PubMed]

D. Cai, A. R. Bishop, and N. Gronbech-Jensen, "Localized states in discrete nonlinear Schrödinger equations," Phys. Rev. Lett. 72, 591-595 (1994).

[CrossRef]
[PubMed]

K. C. Huang, P. Bienstman, J. D. Joannopoulos, K. A. Nelson, and S. Fan, "Field expulsion and reconfiguration in polaritonic photonic crystals," Phys. Rev. Lett. 90, 196402 (2003).

[CrossRef]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-trapping of optical beams," Phys. Rev. Lett. 13, 479-482 (1964).

[CrossRef]

S. John and N. Aközbek, "Nonlinear optical solitary waves in a photonic band gap," Phys. Rev. Lett. 71, 1168-1171 (1993).

[CrossRef]
[PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).

[CrossRef]

F. Lederer, S. Darmanyan, and A. Kobyakov, "Discrete solitons," in Spatial Solitons
, S. Trillo and W. Torruellas, eds. (Springer-Verlag, Berlin, 2001), pp. 269-292.

CAMFR simulation software is freely available from http://camfr.sourceforge.net/.

T. Fujisawa and M. Koshiba, "Time-domain beam propagation method for nonlinear optical propagation analysis and its application to photonic crystal circuits," in Integrated Photonics Research
, OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2003), p. IME5.