Y. Shen, P. G. Kevrekidis, N. Whitaker, and B. A. Malomed, “Spatial solitons under competing linear and nonlinear diffractions,” Phys. Rev. E 85, 026606 (2012).

[CrossRef]

J.-M. Moison, N. Belabas, J. A. Levenson, and C. Minot, “Light-propagation management in coupled waveguide arrays: quantitative experimental and theoretical assessment from band structures to functional patterns,” Phys. Rev. A 86, 033811 (2012).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

C. Etrich, R. Iliew, K. Staliunas, F. Lederer, and O. A. Egorov, “Ab initio dissipative solitons in an all-photonic crystal resonator,” Phys. Rev. A 84, 021808(R) (2011).

[CrossRef]

Z. Xu, B. Maes, X. Jiang, J. D. Joannopoulos, L. Torner, and M. Soljačić, “Nonlinear photonic crystals near the supercollimation point,” Opt. Lett. 33, 1762–1764 (2008).

[CrossRef]

K. Staliunas, O. Egorov, Y. S. Kivshar, and F. Lederer, “Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. Rev. Lett. 101, 153903 (2008).

[CrossRef]

K. Ikeda, R. E. Saperstein, N. Alic, and Y. Fainman, “Thermal and Kerr nonlinear properties of plasma-deposited silicon nitride/silicon dioxide waveguides,” Opt. Express 16, 12987–12994 (2008).

[CrossRef]

X. Jiang, C. Zhou, X. Yu, S. Fan, M. Soljačić, and J. D. Joannopoulos, “The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal,” Appl. Phys. Lett. 91, 031105 (2007).

[CrossRef]

D. Zhao, J. Zhang, P. Yao, X. Jiang, and X. Chen, “Photonic crystal Mach–Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90, 231114 (2007).

[CrossRef]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays,” Opt. Express 15, 9547–9552 (2007).

[CrossRef]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Broadband diffraction management and self-collimation of white light in photonic lattices,” Phys. Rev. E 74, 066609 (2006).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

T. Matsumoto, S. Fujita, and T. Baba, “Wavelength demultiplexer consisting of photonic crystal superprism and superlens,” Opt. Express 13, 10768–10776 (2005).

[CrossRef]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).

[CrossRef]

D. N. Chigrin, S. Enoch, C. Sotomayor Torres, and G. Tayeb, “Self-guiding in two-dimensional photonic crystals,” Opt. Express 11, 1203–1211 (2003).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength resolution in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104(R) (2002).

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).

[CrossRef]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86, 3296–3299 (2001).

[CrossRef]

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2001).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: refraction like behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74, 1212–1214 (1999).

[CrossRef]

J.-I. Shim, M. Yamaguchi, P. Delansay, and M. Kitamura, “Refractive index and loss changes produced by current injection in InGaAs(P)-InGaAsP multiple quantum-well (MQW) waveguides,” IEEE J. Sel. Top. Quantum Electron. 1, 408–415 (1995).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]

J. Sajeev, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).

[CrossRef]

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2001).

[CrossRef]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86, 3296–3299 (2001).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength resolution in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

J.-M. Moison, N. Belabas, J. A. Levenson, and C. Minot, “Light-propagation management in coupled waveguide arrays: quantitative experimental and theoretical assessment from band structures to functional patterns,” Phys. Rev. A 86, 033811 (2012).

[CrossRef]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).

[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]

D. Zhao, J. Zhang, P. Yao, X. Jiang, and X. Chen, “Photonic crystal Mach–Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90, 231114 (2007).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength resolution in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

J.-I. Shim, M. Yamaguchi, P. Delansay, and M. Kitamura, “Refractive index and loss changes produced by current injection in InGaAs(P)-InGaAsP multiple quantum-well (MQW) waveguides,” IEEE J. Sel. Top. Quantum Electron. 1, 408–415 (1995).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

K. Staliunas, O. Egorov, Y. S. Kivshar, and F. Lederer, “Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. Rev. Lett. 101, 153903 (2008).

[CrossRef]

C. Etrich, R. Iliew, K. Staliunas, F. Lederer, and O. A. Egorov, “Ab initio dissipative solitons in an all-photonic crystal resonator,” Phys. Rev. A 84, 021808(R) (2011).

[CrossRef]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86, 3296–3299 (2001).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

C. Etrich, R. Iliew, K. Staliunas, F. Lederer, and O. A. Egorov, “Ab initio dissipative solitons in an all-photonic crystal resonator,” Phys. Rev. A 84, 021808(R) (2011).

[CrossRef]

X. Jiang, C. Zhou, X. Yu, S. Fan, M. Soljačić, and J. D. Joannopoulos, “The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal,” Appl. Phys. Lett. 91, 031105 (2007).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength resolution in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays,” Opt. Express 15, 9547–9552 (2007).

[CrossRef]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Broadband diffraction management and self-collimation of white light in photonic lattices,” Phys. Rev. E 74, 066609 (2006).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

C. Etrich, R. Iliew, K. Staliunas, F. Lederer, and O. A. Egorov, “Ab initio dissipative solitons in an all-photonic crystal resonator,” Phys. Rev. A 84, 021808(R) (2011).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

X. Lin, X. Zhang, L. Chen, M. Soljačić, and X. Jiang, “Super-collimation with high frequency sensitivity in 2D photonic crystals induced by saddle-type van Hove singularities,” Opt. Express 21, 30140–30147 (2013).

[CrossRef]

Z. Xu, B. Maes, X. Jiang, J. D. Joannopoulos, L. Torner, and M. Soljačić, “Nonlinear photonic crystals near the supercollimation point,” Opt. Lett. 33, 1762–1764 (2008).

[CrossRef]

X. Jiang, C. Zhou, X. Yu, S. Fan, M. Soljačić, and J. D. Joannopoulos, “The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal,” Appl. Phys. Lett. 91, 031105 (2007).

[CrossRef]

D. Zhao, J. Zhang, P. Yao, X. Jiang, and X. Chen, “Photonic crystal Mach–Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90, 231114 (2007).

[CrossRef]

Z. Xu, B. Maes, X. Jiang, J. D. Joannopoulos, L. Torner, and M. Soljačić, “Nonlinear photonic crystals near the supercollimation point,” Opt. Lett. 33, 1762–1764 (2008).

[CrossRef]

X. Jiang, C. Zhou, X. Yu, S. Fan, M. Soljačić, and J. D. Joannopoulos, “The nonlinear effect from the interplay between the nonlinearity and the supercollimation of photonic crystal,” Appl. Phys. Lett. 91, 031105 (2007).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104(R) (2002).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104(R) (2002).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74, 1212–1214 (1999).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74, 1212–1214 (1999).

[CrossRef]

Y. Shen, P. G. Kevrekidis, N. Whitaker, and B. A. Malomed, “Spatial solitons under competing linear and nonlinear diffractions,” Phys. Rev. E 85, 026606 (2012).

[CrossRef]

J.-I. Shim, M. Yamaguchi, P. Delansay, and M. Kitamura, “Refractive index and loss changes produced by current injection in InGaAs(P)-InGaAsP multiple quantum-well (MQW) waveguides,” IEEE J. Sel. Top. Quantum Electron. 1, 408–415 (1995).

[CrossRef]

K. Staliunas, O. Egorov, Y. S. Kivshar, and F. Lederer, “Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. Rev. Lett. 101, 153903 (2008).

[CrossRef]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays,” Opt. Express 15, 9547–9552 (2007).

[CrossRef]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Broadband diffraction management and self-collimation of white light in photonic lattices,” Phys. Rev. E 74, 066609 (2006).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74, 1212–1214 (1999).

[CrossRef]

C. Etrich, R. Iliew, K. Staliunas, F. Lederer, and O. A. Egorov, “Ab initio dissipative solitons in an all-photonic crystal resonator,” Phys. Rev. A 84, 021808(R) (2011).

[CrossRef]

K. Staliunas, O. Egorov, Y. S. Kivshar, and F. Lederer, “Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. Rev. Lett. 101, 153903 (2008).

[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003).

[CrossRef]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).

[CrossRef]

J.-M. Moison, N. Belabas, J. A. Levenson, and C. Minot, “Light-propagation management in coupled waveguide arrays: quantitative experimental and theoretical assessment from band structures to functional patterns,” Phys. Rev. A 86, 033811 (2012).

[CrossRef]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104(R) (2002).

Y. Shen, P. G. Kevrekidis, N. Whitaker, and B. A. Malomed, “Spatial solitons under competing linear and nonlinear diffractions,” Phys. Rev. E 85, 026606 (2012).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

J.-M. Moison, N. Belabas, J. A. Levenson, and C. Minot, “Light-propagation management in coupled waveguide arrays: quantitative experimental and theoretical assessment from band structures to functional patterns,” Phys. Rev. A 86, 033811 (2012).

[CrossRef]

J.-M. Moison, N. Belabas, J. A. Levenson, and C. Minot, “Light-propagation management in coupled waveguide arrays: quantitative experimental and theoretical assessment from band structures to functional patterns,” Phys. Rev. A 86, 033811 (2012).

[CrossRef]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86, 3296–3299 (2001).

[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).

[CrossRef]

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2001).

[CrossRef]

M. J. Steel, R. Zoli, C. Grillet, R. C. McPhedran, C. M. de Sterke, A. Norton, P. Bassi, and B. J. Eggleton, “Analytic properties of photonic crystal superprism parameters,” Phys. Rev. E 71, 056608 (2005).

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: refraction like behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74, 1212–1214 (1999).

[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, “Subwavelength resolution in a two-dimensional photonic-crystal-based superlens,” Phys. Rev. Lett. 91, 207401 (2003).

[CrossRef]

V. R. Almeida, C. A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip,” Nature 431, 1081–1084 (2004).

[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index,” Phys. Rev. B 65, 201104(R) (2002).

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).

[CrossRef]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5, 93–96 (2006).

[CrossRef]

J. Sajeev, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).

[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Self-collimating phenomena in photonic crystals,” Appl. Phys. Lett. 74, 1212–1214 (1999).

[CrossRef]

Z. Chen, M. Segev, and D. N. Christodoulides, “Optical spatial solitons: historical overview and recent advances,” Rep. Prog. Phys. 75, 086401 (2012).

[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).

[CrossRef]

Y. Shen, P. G. Kevrekidis, N. Whitaker, and B. A. Malomed, “Spatial solitons under competing linear and nonlinear diffractions,” Phys. Rev. E 85, 026606 (2012).

[CrossRef]

J.-I. Shim, M. Yamaguchi, P. Delansay, and M. Kitamura, “Refractive index and loss changes produced by current injection in InGaAs(P)-InGaAsP multiple quantum-well (MQW) waveguides,” IEEE J. Sel. Top. Quantum Electron. 1, 408–415 (1995).

[CrossRef]

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