J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “Analyzing the propagating waves in the two-dimensional photonic crystal by the decoupled internal-field expansion method,” AIP Advances 2, 0120188 (2012).

[CrossRef]

R. Ozaki and T. Yamasaki, “Propagation characteristics of dielectric waveguides with arbitrary inhomogeneous media along the middle layer,” IEICE Trans. Electron. e95-c, 53–62 (2012).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The high-transmission photonic crystal heterostructure Y-branch waveguide operating at photonic band region,” J. Appl. Phys. 109, 034504 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The equivalent structure and some optical properties of the periodic-defect photonic crystal,” J. Appl. Phys. 109, 073104 (2011).

[CrossRef]

T.-H. Pei, S. Thiyagu, and Z. Pei, “Ultra high-density silicon nanowires for extremely low reflection in visible regime,” Appl. Phys. Lett. 99, 153108 (2011).

[CrossRef]

P. Han, Y. W. Chen, and X.-C. Zhang, “Application of silicon micropyramid structures for antireflection of terahertz waves,” IEEE J. Sel. Topics Quantum Electron. 16, 338–343 (2010).

[CrossRef]

Y. W. Chen, P. Han, X.-C. Zhang, M.-L. Kuo, and S.-Y. Lin, “Three-dimensional inverted photonic grating with engineerable refractive indices for broadband antireflection of terahertz waves,” Opt. Lett. 35, 3159–3161 (2010).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

R. Irawan, D. Zhang, S. Chuan Tjin, and X. Yuan, “Biosensor based on two-dimensional photonic lattice,” Microwave Opt. Technol. Lett. 49, 1171–1175 (2007).

[CrossRef]

Y. Yuan, L. Ran, J. Huangfu, H. Chen, L. Shen, and J. Au Kong, “Experimental verification of zero order bandgap in a layered stack of left-handed and right-handed materials,” Opt. Express 14, 2220–2227 (2006).

[CrossRef]

D. G. Stavenga, S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array of butterflies,” Proc. R. Soc. B 273, 661–667 (2006).

[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, “Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface,” Phys. Rev. E 74, 066607 (2006).

[CrossRef]

I. De Leon and F. S. Roux, “Fourier analysis of reflection and refraction in two-dimensional photonic crystals,” Phys. Rev. B 71, 235105 (2005).

[CrossRef]

W. Jiang, R. T. Chen, and X. Lu, “Theory of light refraction at the surface of a photonic crystal,” Phys. Rev. B 71, 245115 (2005).

[CrossRef]

D. Felbacq and R. Smaâli, “Bloch modes dressed by evanescent waves and the generalized Goos–Hänchen effect in photonic crystals,” Phys. Rev. Lett. 92, 193902 (2004).

[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).

[CrossRef]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90, 083901 (2003).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

S. Foteinopoulou, A. Rosenberg, M. M. Sigalas, and C. M. Soukoulis, “In- and out-of-plane propagation of electromagnetic waves in low index contrast two dimensional photonic crystals,” J. Appl. Phys. 89, 824–830 (2001).

[CrossRef]

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

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

P. Halevi, A. A. Krokhin, and J. Arriaga, “Photonic crystal optics and homogenization of 2D periodic composites,” Phys. Rev. Lett. 82, 719–722 (1999).

[CrossRef]

J. G. Shawn-Yu Lin and J. G. Fleming, “A three-dimensional optical photonic crystal,” J. Lightwave Technol. 17, 1944–1947 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

H. Kikuta, Y. Ohira, H. Kubo, and K. Iwata, “Effective medium theory of two-dimensional subwavelength gratings in the non-quasi-static limit,” J. Opt. Soc. Am. A 15, 1577–1585 (1998).

[CrossRef]

P. Lalanne and J.-P. Hugonin, “High-order effective-medium theory of subwavelength gratings in classical mounting: application to volume holograms,” J. Opt. Soc. Am. A 15, 1843–1851 (1998).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960–963 (1998).

[CrossRef]

K. Sakoda, “Optical transmittance of a two-dimensional triangular photonic lattice,” Phys. Rev. B 51, 4672–4675 (1995).

[CrossRef]

K. Sakoda, “Transmittance and Bragg reflectivity of two-dimensional photonic lattices,” Phys. Rev. B 52, 8992–9002 (1995).

[CrossRef]

C. W. Haggans, L. Li, and R. K. Kostuk, “Effective-medium theory of zeroth-order lamellar gratings in conical mountings,” J. Opt. Soc. Am. A 10, 2217–2225 (1993).

[CrossRef]

D. H. Raguin and G. M. Morris, “Antireflection structured surfaces for the infrared spectral region,” Appl. Opt. 32, 1154–1167 (1993).

[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).

[CrossRef]

H. S. Sözüer, J. W. Haus, and R. Inguva, “Photonic bands: convergence problems with the plane-wave method,” Phys. Rev. B 45, 13962–13972 (1992).

[CrossRef]

K. M. Leung and Y. F. Liu, “Photon band structures: the plane-wave method,” Phys. Rev. B 41, 10188–10190 (1990).

[CrossRef]

D. J. Bergrnan, “Rigorous bounds for the complex dielectric constant of a two-component composite,” Ann. Phys. (N.Y.) 138, 78 (1982).

[CrossRef]

D. E. Aspnes, “Local-field effects and effective-medium theory: a microscopic perspective,” Am. J. Phys. 50, 704–709 (1982).

[CrossRef]

D. A. G. Bruggman, “Dielectric constant and conductivity of mixtures of isotropic materials,” Ann. Phys. (Leipzig) 24, 636 (1935).

J. C. Maxwell-Garnett, “Colors in metal glasses and in metallic films,” Philos. Trans. R. Soc. A 203, 385–420 (1904).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

D. G. Stavenga, S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array of butterflies,” Proc. R. Soc. B 273, 661–667 (2006).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

P. Halevi, A. A. Krokhin, and J. Arriaga, “Photonic crystal optics and homogenization of 2D periodic composites,” Phys. Rev. Lett. 82, 719–722 (1999).

[CrossRef]

D. E. Aspnes, “Local-field effects and effective-medium theory: a microscopic perspective,” Am. J. Phys. 50, 704–709 (1982).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

D. J. Bergrnan, “Rigorous bounds for the complex dielectric constant of a two-component composite,” Ann. Phys. (N.Y.) 138, 78 (1982).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

D. A. G. Bruggman, “Dielectric constant and conductivity of mixtures of isotropic materials,” Ann. Phys. (Leipzig) 24, 636 (1935).

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90, 083901 (2003).

[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

W. Jiang, R. T. Chen, and X. Lu, “Theory of light refraction at the surface of a photonic crystal,” Phys. Rev. B 71, 245115 (2005).

[CrossRef]

P. Han, Y. W. Chen, and X.-C. Zhang, “Application of silicon micropyramid structures for antireflection of terahertz waves,” IEEE J. Sel. Topics Quantum Electron. 16, 338–343 (2010).

[CrossRef]

Y. W. Chen, P. Han, X.-C. Zhang, M.-L. Kuo, and S.-Y. Lin, “Three-dimensional inverted photonic grating with engineerable refractive indices for broadband antireflection of terahertz waves,” Opt. Lett. 35, 3159–3161 (2010).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).

[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

I. De Leon and F. S. Roux, “Fourier analysis of reflection and refraction in two-dimensional photonic crystals,” Phys. Rev. B 71, 235105 (2005).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960–963 (1998).

[CrossRef]

D. Felbacq and R. Smaâli, “Bloch modes dressed by evanescent waves and the generalized Goos–Hänchen effect in photonic crystals,” Phys. Rev. Lett. 92, 193902 (2004).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

D. G. Stavenga, S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array of butterflies,” Proc. R. Soc. B 273, 661–667 (2006).

[CrossRef]

S. Foteinopoulou, A. Rosenberg, M. M. Sigalas, and C. M. Soukoulis, “In- and out-of-plane propagation of electromagnetic waves in low index contrast two dimensional photonic crystals,” J. Appl. Phys. 89, 824–830 (2001).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).

P. Halevi, A. A. Krokhin, and J. Arriaga, “Photonic crystal optics and homogenization of 2D periodic composites,” Phys. Rev. Lett. 82, 719–722 (1999).

[CrossRef]

Y. W. Chen, P. Han, X.-C. Zhang, M.-L. Kuo, and S.-Y. Lin, “Three-dimensional inverted photonic grating with engineerable refractive indices for broadband antireflection of terahertz waves,” Opt. Lett. 35, 3159–3161 (2010).

[CrossRef]

P. Han, Y. W. Chen, and X.-C. Zhang, “Application of silicon micropyramid structures for antireflection of terahertz waves,” IEEE J. Sel. Topics Quantum Electron. 16, 338–343 (2010).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960–963 (1998).

[CrossRef]

H. S. Sözüer, J. W. Haus, and R. Inguva, “Photonic bands: convergence problems with the plane-wave method,” Phys. Rev. B 45, 13962–13972 (1992).

[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “Analyzing the propagating waves in the two-dimensional photonic crystal by the decoupled internal-field expansion method,” AIP Advances 2, 0120188 (2012).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The equivalent structure and some optical properties of the periodic-defect photonic crystal,” J. Appl. Phys. 109, 073104 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The high-transmission photonic crystal heterostructure Y-branch waveguide operating at photonic band region,” J. Appl. Phys. 109, 034504 (2011).

[CrossRef]

H. S. Sözüer, J. W. Haus, and R. Inguva, “Photonic bands: convergence problems with the plane-wave method,” Phys. Rev. B 45, 13962–13972 (1992).

[CrossRef]

R. Irawan, D. Zhang, S. Chuan Tjin, and X. Yuan, “Biosensor based on two-dimensional photonic lattice,” Microwave Opt. Technol. Lett. 49, 1171–1175 (2007).

[CrossRef]

W. Jiang, R. T. Chen, and X. Lu, “Theory of light refraction at the surface of a photonic crystal,” Phys. Rev. B 71, 245115 (2005).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960–963 (1998).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

P. Halevi, A. A. Krokhin, and J. Arriaga, “Photonic crystal optics and homogenization of 2D periodic composites,” Phys. Rev. Lett. 82, 719–722 (1999).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

K. M. Leung and Y. F. Liu, “Photon band structures: the plane-wave method,” Phys. Rev. B 41, 10188–10190 (1990).

[CrossRef]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90, 083901 (2003).

[CrossRef]

Y. W. Chen, P. Han, X.-C. Zhang, M.-L. Kuo, and S.-Y. Lin, “Three-dimensional inverted photonic grating with engineerable refractive indices for broadband antireflection of terahertz waves,” Opt. Lett. 35, 3159–3161 (2010).

[CrossRef]

S.-Y. Lin, V. M. Hietala, L. Wang, and E. D. Jones, “Highly dispersive photonic band-gap prism,” Opt. Lett. 21, 1771–1773 (1996).

[CrossRef]

K. M. Leung and Y. F. Liu, “Photon band structures: the plane-wave method,” Phys. Rev. B 41, 10188–10190 (1990).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

W. Jiang, R. T. Chen, and X. Lu, “Theory of light refraction at the surface of a photonic crystal,” Phys. Rev. B 71, 245115 (2005).

[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, “Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface,” Phys. Rev. E 74, 066607 (2006).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

J. C. Maxwell-Garnett, “Colors in metal glasses and in metallic films,” Philos. Trans. R. Soc. A 203, 385–420 (1904).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

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

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

R. Ozaki and T. Yamasaki, “Propagation characteristics of dielectric waveguides with arbitrary inhomogeneous media along the middle layer,” IEICE Trans. Electron. e95-c, 53–62 (2012).

[CrossRef]

D. G. Stavenga, S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array of butterflies,” Proc. R. Soc. B 273, 661–667 (2006).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “Analyzing the propagating waves in the two-dimensional photonic crystal by the decoupled internal-field expansion method,” AIP Advances 2, 0120188 (2012).

[CrossRef]

T.-H. Pei, S. Thiyagu, and Z. Pei, “Ultra high-density silicon nanowires for extremely low reflection in visible regime,” Appl. Phys. Lett. 99, 153108 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The equivalent structure and some optical properties of the periodic-defect photonic crystal,” J. Appl. Phys. 109, 073104 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The high-transmission photonic crystal heterostructure Y-branch waveguide operating at photonic band region,” J. Appl. Phys. 109, 034504 (2011).

[CrossRef]

T.-H. Pei, S. Thiyagu, and Z. Pei, “Ultra high-density silicon nanowires for extremely low reflection in visible regime,” Appl. Phys. Lett. 99, 153108 (2011).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. Foteinopoulou, A. Rosenberg, M. M. Sigalas, and C. M. Soukoulis, “In- and out-of-plane propagation of electromagnetic waves in low index contrast two dimensional photonic crystals,” J. Appl. Phys. 89, 824–830 (2001).

[CrossRef]

I. De Leon and F. S. Roux, “Fourier analysis of reflection and refraction in two-dimensional photonic crystals,” Phys. Rev. B 71, 235105 (2005).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

K. Sakoda, “Optical transmittance of a two-dimensional triangular photonic lattice,” Phys. Rev. B 51, 4672–4675 (1995).

[CrossRef]

K. Sakoda, “Transmittance and Bragg reflectivity of two-dimensional photonic lattices,” Phys. Rev. B 52, 8992–9002 (1995).

[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, “Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface,” Phys. Rev. E 74, 066607 (2006).

[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, “Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface,” Phys. Rev. E 74, 066607 (2006).

[CrossRef]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90, 083901 (2003).

[CrossRef]

S. Foteinopoulou, A. Rosenberg, M. M. Sigalas, and C. M. Soukoulis, “In- and out-of-plane propagation of electromagnetic waves in low index contrast two dimensional photonic crystals,” J. Appl. Phys. 89, 824–830 (2001).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

D. Felbacq and R. Smaâli, “Bloch modes dressed by evanescent waves and the generalized Goos–Hänchen effect in photonic crystals,” Phys. Rev. Lett. 92, 193902 (2004).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

S. Foteinopoulou, A. Rosenberg, M. M. Sigalas, and C. M. Soukoulis, “In- and out-of-plane propagation of electromagnetic waves in low index contrast two dimensional photonic crystals,” J. Appl. Phys. 89, 824–830 (2001).

[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).

[CrossRef]

H. S. Sözüer, J. W. Haus, and R. Inguva, “Photonic bands: convergence problems with the plane-wave method,” Phys. Rev. B 45, 13962–13972 (1992).

[CrossRef]

D. G. Stavenga, S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array of butterflies,” Proc. R. Soc. B 273, 661–667 (2006).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).

T.-H. Pei, S. Thiyagu, and Z. Pei, “Ultra high-density silicon nanowires for extremely low reflection in visible regime,” Appl. Phys. Lett. 99, 153108 (2011).

[CrossRef]

R. Irawan, D. Zhang, S. Chuan Tjin, and X. Yuan, “Biosensor based on two-dimensional photonic lattice,” Microwave Opt. Technol. Lett. 49, 1171–1175 (2007).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960–963 (1998).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

R. Ozaki and T. Yamasaki, “Propagation characteristics of dielectric waveguides with arbitrary inhomogeneous media along the middle layer,” IEICE Trans. Electron. e95-c, 53–62 (2012).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

R. Irawan, D. Zhang, S. Chuan Tjin, and X. Yuan, “Biosensor based on two-dimensional photonic lattice,” Microwave Opt. Technol. Lett. 49, 1171–1175 (2007).

[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).

[CrossRef]

R. Irawan, D. Zhang, S. Chuan Tjin, and X. Yuan, “Biosensor based on two-dimensional photonic lattice,” Microwave Opt. Technol. Lett. 49, 1171–1175 (2007).

[CrossRef]

P. Han, Y. W. Chen, and X.-C. Zhang, “Application of silicon micropyramid structures for antireflection of terahertz waves,” IEEE J. Sel. Topics Quantum Electron. 16, 338–343 (2010).

[CrossRef]

Y. W. Chen, P. Han, X.-C. Zhang, M.-L. Kuo, and S.-Y. Lin, “Three-dimensional inverted photonic grating with engineerable refractive indices for broadband antireflection of terahertz waves,” Opt. Lett. 35, 3159–3161 (2010).

[CrossRef]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90, 083901 (2003).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “Analyzing the propagating waves in the two-dimensional photonic crystal by the decoupled internal-field expansion method,” AIP Advances 2, 0120188 (2012).

[CrossRef]

D. E. Aspnes, “Local-field effects and effective-medium theory: a microscopic perspective,” Am. J. Phys. 50, 704–709 (1982).

[CrossRef]

D. A. G. Bruggman, “Dielectric constant and conductivity of mixtures of isotropic materials,” Ann. Phys. (Leipzig) 24, 636 (1935).

D. J. Bergrnan, “Rigorous bounds for the complex dielectric constant of a two-component composite,” Ann. Phys. (N.Y.) 138, 78 (1982).

[CrossRef]

T.-H. Pei, S. Thiyagu, and Z. Pei, “Ultra high-density silicon nanowires for extremely low reflection in visible regime,” Appl. Phys. Lett. 99, 153108 (2011).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, D. Cassagne, C. Jouanin, R. Houdre, U. Oesterle, and V. Bardinal, “Diffraction efficiency and guided light control by two-dimensional photonic-bandgap lattices,” IEEE J. Quantum Electron. 35, 1045–1052 (1999).

[CrossRef]

P. Han, Y. W. Chen, and X.-C. Zhang, “Application of silicon micropyramid structures for antireflection of terahertz waves,” IEEE J. Sel. Topics Quantum Electron. 16, 338–343 (2010).

[CrossRef]

R. Ozaki and T. Yamasaki, “Propagation characteristics of dielectric waveguides with arbitrary inhomogeneous media along the middle layer,” IEICE Trans. Electron. e95-c, 53–62 (2012).

[CrossRef]

S. Foteinopoulou, A. Rosenberg, M. M. Sigalas, and C. M. Soukoulis, “In- and out-of-plane propagation of electromagnetic waves in low index contrast two dimensional photonic crystals,” J. Appl. Phys. 89, 824–830 (2001).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The high-transmission photonic crystal heterostructure Y-branch waveguide operating at photonic band region,” J. Appl. Phys. 109, 034504 (2011).

[CrossRef]

T.-H. Pei and Y.-T. Huang, “The equivalent structure and some optical properties of the periodic-defect photonic crystal,” J. Appl. Phys. 109, 073104 (2011).

[CrossRef]

J. G. Shawn-Yu Lin and J. G. Fleming, “A three-dimensional optical photonic crystal,” J. Lightwave Technol. 17, 1944–1947 (1999).

[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. de la Rue, R. Houdre, U. Oesterle, and C. Jouanin, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).

[CrossRef]

E. B. Grann, M. G. Moharam, and D. A. Pommet, “Artificial uniaxial and biaxial dielectrics with use of two-dimensional subwavelength binary gratings,” J. Opt. Soc. Am. A 11, 2695–2703 (1994).

[CrossRef]

H. Kikuta, Y. Ohira, H. Kubo, and K. Iwata, “Effective medium theory of two-dimensional subwavelength gratings in the non-quasi-static limit,” J. Opt. Soc. Am. A 15, 1577–1585 (1998).

[CrossRef]

P. Lalanne and J.-P. Hugonin, “High-order effective-medium theory of subwavelength gratings in classical mounting: application to volume holograms,” J. Opt. Soc. Am. A 15, 1843–1851 (1998).

[CrossRef]

P. Yeh, “Resonant tunneling of electromagnetic radiation in superlattice structures,” J. Opt. Soc. Am. A 2, 568–571 (1985).

[CrossRef]

C. W. Haggans, L. Li, and R. K. Kostuk, “Effective-medium theory of zeroth-order lamellar gratings in conical mountings,” J. Opt. Soc. Am. A 10, 2217–2225 (1993).

[CrossRef]

R. Irawan, D. Zhang, S. Chuan Tjin, and X. Yuan, “Biosensor based on two-dimensional photonic lattice,” Microwave Opt. Technol. Lett. 49, 1171–1175 (2007).

[CrossRef]

Y.-J. Lee, D. S. Ruby, D. W. Peters, B. B. McKenzie, and J. W. P. Hsu, “ZnO nanostructures as efficient antireflection layers in solar cells,” Nano Lett. 8, 1501–1505 (2008).

[CrossRef]

V. Sivakov, G. Andrä, A. Gawlik, A. Berger, J. Plentz, F. Falk, and S. H. Christiansen, “Silicon nanowire-based solar cells on glass: Synthesis, optical properties, and cell parameters,” Nano Lett. 9, 1549–1554 (2009).

[CrossRef]

S. Kocaman, M. S. Aras, P. Hsieh, J. F. Mcmillan, C. G. Biris, N. C. Panoiu, M. B. Yu, D. L. Kwong, A. Stein, and C. W. Wong, “Zero phase delay in negative-refractive-index photonic crystal superlattices,” Nat. Photonics 5,1–7 (2011).

[CrossRef]

L. Escoubas, J. J. Simon, M. Loli, G. Berginc, F. Flory, and H. Giovannini, “An antireflective silicon grating working in the resonance domain for the near infrared spectral region,” Opt. Commun. 226, 81–88 (2003).

[CrossRef]

Y. W. Chen, P. Han, X.-C. Zhang, M.-L. Kuo, and S.-Y. Lin, “Three-dimensional inverted photonic grating with engineerable refractive indices for broadband antireflection of terahertz waves,” Opt. Lett. 35, 3159–3161 (2010).

[CrossRef]

S.-Y. Lin, V. M. Hietala, L. Wang, and E. D. Jones, “Highly dispersive photonic band-gap prism,” Opt. Lett. 21, 1771–1773 (1996).

[CrossRef]

W. Stork, N. Streibl, H. Haidner, and P. Kipfer, “Artificial distributed-index media fabricated by zero-order gratings,” Opt. Lett. 16, 1921–1923 (1991).

[CrossRef]

J. C. Maxwell-Garnett, “Colors in metal glasses and in metallic films,” Philos. Trans. R. Soc. A 203, 385–420 (1904).

[CrossRef]

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

[CrossRef]

K. M. Leung and Y. F. Liu, “Photon band structures: the plane-wave method,” Phys. Rev. B 41, 10188–10190 (1990).

[CrossRef]

H. S. Sözüer, J. W. Haus, and R. Inguva, “Photonic bands: convergence problems with the plane-wave method,” Phys. Rev. B 45, 13962–13972 (1992).

[CrossRef]

S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, “Effective dielectric constant of periodic composite structures,” Phys. Rev. B 48, 14936–14943 (1993).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, “Theoretical analysis of channel drop tunneling processes,” Phys. Rev. B 59, 15882–15892 (1999).

[CrossRef]

S. A. Darmanyan and A. V. Zayats, “Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study,” Phys. Rev. B 67, 035424 (2003).

[CrossRef]

I. De Leon and F. S. Roux, “Fourier analysis of reflection and refraction in two-dimensional photonic crystals,” Phys. Rev. B 71, 235105 (2005).

[CrossRef]

W. Jiang, R. T. Chen, and X. Lu, “Theory of light refraction at the surface of a photonic crystal,” Phys. Rev. B 71, 245115 (2005).

[CrossRef]

K. Sakoda, “Optical transmittance of a two-dimensional triangular photonic lattice,” Phys. Rev. B 51, 4672–4675 (1995).

[CrossRef]

K. Sakoda, “Transmittance and Bragg reflectivity of two-dimensional photonic lattices,” Phys. Rev. B 52, 8992–9002 (1995).

[CrossRef]

D. Labilloy, H. Benisty, C. Weisbuch, C. J. Smith, T. F. Krauss, R. Houdré, and U. Oesterle, “Finely resolved transmission spectra and band structure of two-dimensional photonic crystals using emission from InAs quantum dots,” Phys. Rev. B 59, 1649–1652 (1999).

[CrossRef]

A. E. Serebryannikov, T. Magath, and K. Schuenemann, “Bragg transmittance of s-polarized waves through finite-thickness photonic crystals with a periodically corrugated interface,” Phys. Rev. E 74, 066607 (2006).

[CrossRef]

D. Felbacq and R. Smaâli, “Bloch modes dressed by evanescent waves and the generalized Goos–Hänchen effect in photonic crystals,” Phys. Rev. Lett. 92, 193902 (2004).

[CrossRef]

S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, “Channel drop tunneling through localized states,” Phys. Rev. Lett. 80, 960–963 (1998).

[CrossRef]

P. Halevi, A. A. Krokhin, and J. Arriaga, “Photonic crystal optics and homogenization of 2D periodic composites,” Phys. Rev. Lett. 82, 719–722 (1999).

[CrossRef]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90, 083901 (2003).

[CrossRef]

V. Mocella, S. Cabrini, A. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102, 133902–133905 (2009).

[CrossRef]

S. Kocaman, R. Chatterjee, N. Panoiu, J. Mcmillan, M. Yu, R. Osgood, D. Kwong, and C. Wong, “Observation of zeroth-order band gaps in negative-refraction photonic crystal superlattices at near-infrared frequencies,” Phys. Rev. Lett. 102, 203905 (2009).

[CrossRef]

J. Arlandis, E. Centeno, R. Pollès, A. Moreau, J. Campos, O. Gauthier-Lafaye, and A. Monmayrant, “Mesoscopic self-collimation and slow light in all-positive index layered photonic crystals,” Phys. Rev. Lett. 108, 037401 (2012).

[CrossRef]

D. G. Stavenga, S. Foletti, G. Palasantzas, and K. Arikawa, “Light on the moth-eye corneal nipple array of butterflies,” Proc. R. Soc. B 273, 661–667 (2006).

[CrossRef]

A. Taflove and S. C. Hagness, Computational Electrodynamics (Artech House, 2000).

P. Yeh, Optical Waves in Layered Media (Wiley, 1991).

K. Sakoda, Optical Properties of Photonic Crystals, 2nd ed. (Springer, 2005).