A. Andueza, R. Echeverría, P. Morales, and J. Sevilla, “Geometry influence on the transmission spectra of dielectric single layers of spheres with different compactness,” J. Appl. Phys. 107, 124902 (2010).

[Crossref]
[PubMed]

B. Wang, Y. Jin, and S. He, “Effects of disorder in a photonic crystal on the extraction efficiency of a light-emitting diode,” J. Appl. Phys. 106, 014508 (2009).

[Crossref]

L. A. Dorado and R. A. Depine, “Modeling of disorder effects and optical extinction in three-dimensional photonic crystals,” Phys. Rev. B 79, 045124 (2009).

[Crossref]

B. Auguié and W. L. Barnes, “Diffractive coupling in gold nanoparticle arrays and the effect of disorder,” Opt. Lett. 34, 401–403 (2009).

[Crossref]
[PubMed]

C. Rockstuhl and F. Lederer, “Suppression of the local density of states in a medium made of randomly arranged dielectric spheres,” Phys. Rev. B 79, 132202 (2009).

[Crossref]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

A. Andueza, R. Echeverría, and J. Sevilla, “Evolution of the electromagnetic modes of a single layer of dielectric spheres with compactness,” J. Appl. Phys. 104, 043103 (2008).

[Crossref]

Z. Y. Koide, K. Fujisawa, and M. Nakane, “Preparation of non-contact ordered array of polystyrene colloidal particles by using a metallic thin film of fused hemispheres,” Colloids Surf. A 330, 108–111 (2008).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

T. Prasad, V. L. Colvin, and D. M. Mittleman, “The effect of structural disorder on guided resonances in photonic crystal slabs studied with terahertz time-domain spectroscopy,” Opt. Express 15, 16954–16965 (2007).

[Crossref]
[PubMed]

A. Andueza and J. Sevilla, “Non compact single-layers of dielectric spheres electromagnetic behaviour,” Opt. Quantum Electron. 39, 311–320 (2007).

[Crossref]

R. Meisels and F. Kuchar, “Density-of-states and wave propagation in two-dimensional photonic crystals with positional disorder,” J. Opt. A 9, S396–S402 (2007).

[Crossref]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

K. Vynck, K. Cassagne, and E. Centeno, “Superlattice for photonic band gap opening in monolayers of dielectric spheres,” Opt. Express 14, 6668–6674 (2006).

[Crossref]
[PubMed]

S. Matsushita and M. Shimomura, “Light-propagation patterns in freestanding two-dimensional colloidal crystals,” Colloids Surf. A 284–285, 315–319 (2006).

[Crossref]

W. Cai and R. Piestun, “Patterning of silica microsphere monolayers with focused femtosecond laser pulses,” Appl. Phys. Lett. 88, 111112 (2006).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

M. Skorobogatiy, G. Bégin, and A. Talneau, “Statistical analysis of geometrical imperfections from the images of 2D photonic crystals,” Opt. Express 13, 2487–2502 (2005).

[Crossref]
[PubMed]

Y. Kurokawa, H. Miyazaki, H. T. Miyazaki, and Y. Jimba, “Effect of a semi-infinite substrate on the internal electric field intensity distribution of a monolayer of periodically arrayed dielectric spheres,” J. Phys. Soc. Jpn. 74, 924–929 (2005).

[Crossref]

R. Rengarajan, D. Mittleman, C. Rich, and V. Colvin, “Effect of disorder on the optical properties of colloidal crystals,” Phys. Rev. E 71, 016615 (2005).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

Y. Kurokawa, Y. Jimba, and H. Miyazaki, “Internal electric-field distribution of a monolayer of periodically arrayed dielectric spheres,” Phys. Rev. B 70, 155107 (2004).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Optical band structure and near-field intensity of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness,” Phys. Rev. B 69, 155117 (2004).

[Crossref]

W. R. Frei and H. T. Johnson, “Finite-element analysis of disorder effects in photonic crystals,” Phys. Rev. B 70, 165116(2004).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, “Disorder-induced modification of the attenuation of light in a two-dimensional photonic crystal with complete band gap,” Phys. Status Solidi A 195, 612–617 (2003).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates,” Phys. Rev. B 65, 2011021 (2002).

[Crossref]

R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, “Scattering of elastic waves by a periodic monolayer of spheres,” Phys. Rev. B 66, 024303 (2002).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

H. T. Miyazaki, H. Miyazaki, K. Ohtaka, and T. Sato, “Photonic band in two-dimensional lattices of micrometer-sized spheres mechanically arranged under a scanning electron microscope,” J. Appl. Phys. 87, 7152–7158 (2000).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

H. Y. Ryu, J. K. Hwang, and Y. H. Lee, “Effect of size nonuniformities on the band gap of two-dimensional photonic crystals,” Phys. Rev. B 59, 5463–5469 (1999).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic band using vector spherical waves. I. Various properties of Bloch electric fields and heavy photons,” J. Phys. Soc. Jpn. 65, 2265–2275 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. II. Reflectivity, coherence and local field,” J. Phys. Soc. Jpn. 65, 2276–2284 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. III. Group-theoretical treatment,” J. Phys. Soc. Jpn. 65, 2670–2684 (1996).

[Crossref]

S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Phys. 78, 1415–1418 (1995).

[Crossref]

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

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

K. Ohtaka and M. Inoue, “Light scattering from macroscopic spherical bodies. I. Integrated density of states of transverse electromagnetic fields,” Phys. Rev. B 25, 677–688 (1982).

[Crossref]

K. Ohtaka, “Scattering theory of low-energy photon diffraction,” J. Phys. C 13, 667–680 (1980).

[Crossref]

K. Ohtaka, “Energy band of photons and low-energy photon diffraction,” Phys. Rev. B 19, 5057–5067 (1979).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, “Disorder-induced modification of the attenuation of light in a two-dimensional photonic crystal with complete band gap,” Phys. Status Solidi A 195, 612–617 (2003).

[Crossref]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

A. Andueza, R. Echeverría, P. Morales, and J. Sevilla, “Geometry influence on the transmission spectra of dielectric single layers of spheres with different compactness,” J. Appl. Phys. 107, 124902 (2010).

[Crossref]
[PubMed]

A. Andueza, R. Echeverría, and J. Sevilla, “Evolution of the electromagnetic modes of a single layer of dielectric spheres with compactness,” J. Appl. Phys. 104, 043103 (2008).

[Crossref]

A. Andueza and J. Sevilla, “Non compact single-layers of dielectric spheres electromagnetic behaviour,” Opt. Quantum Electron. 39, 311–320 (2007).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

W. Cai and R. Piestun, “Patterning of silica microsphere monolayers with focused femtosecond laser pulses,” Appl. Phys. Lett. 88, 111112 (2006).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, “Disorder-induced modification of the attenuation of light in a two-dimensional photonic crystal with complete band gap,” Phys. Status Solidi A 195, 612–617 (2003).

[Crossref]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

R. Rengarajan, D. Mittleman, C. Rich, and V. Colvin, “Effect of disorder on the optical properties of colloidal crystals,” Phys. Rev. E 71, 016615 (2005).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

L. A. Dorado and R. A. Depine, “Modeling of disorder effects and optical extinction in three-dimensional photonic crystals,” Phys. Rev. B 79, 045124 (2009).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

L. A. Dorado and R. A. Depine, “Modeling of disorder effects and optical extinction in three-dimensional photonic crystals,” Phys. Rev. B 79, 045124 (2009).

[Crossref]

A. Andueza, R. Echeverría, P. Morales, and J. Sevilla, “Geometry influence on the transmission spectra of dielectric single layers of spheres with different compactness,” J. Appl. Phys. 107, 124902 (2010).

[Crossref]
[PubMed]

A. Andueza, R. Echeverría, and J. Sevilla, “Evolution of the electromagnetic modes of a single layer of dielectric spheres with compactness,” J. Appl. Phys. 104, 043103 (2008).

[Crossref]

S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Phys. 78, 1415–1418 (1995).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

W. R. Frei and H. T. Johnson, “Finite-element analysis of disorder effects in photonic crystals,” Phys. Rev. B 70, 165116(2004).

[Crossref]

Z. Y. Koide, K. Fujisawa, and M. Nakane, “Preparation of non-contact ordered array of polystyrene colloidal particles by using a metallic thin film of fused hemispheres,” Colloids Surf. A 330, 108–111 (2008).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

B. Wang, Y. Jin, and S. He, “Effects of disorder in a photonic crystal on the extraction efficiency of a light-emitting diode,” J. Appl. Phys. 106, 014508 (2009).

[Crossref]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

H. Y. Ryu, J. K. Hwang, and Y. H. Lee, “Effect of size nonuniformities on the band gap of two-dimensional photonic crystals,” Phys. Rev. B 59, 5463–5469 (1999).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

K. Ohtaka and M. Inoue, “Light scattering from macroscopic spherical bodies. I. Integrated density of states of transverse electromagnetic fields,” Phys. Rev. B 25, 677–688 (1982).

[Crossref]

Y. Kurokawa, H. Miyazaki, H. T. Miyazaki, and Y. Jimba, “Effect of a semi-infinite substrate on the internal electric field intensity distribution of a monolayer of periodically arrayed dielectric spheres,” J. Phys. Soc. Jpn. 74, 924–929 (2005).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Optical band structure and near-field intensity of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness,” Phys. Rev. B 69, 155117 (2004).

[Crossref]

Y. Kurokawa, Y. Jimba, and H. Miyazaki, “Internal electric-field distribution of a monolayer of periodically arrayed dielectric spheres,” Phys. Rev. B 70, 155107 (2004).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates,” Phys. Rev. B 65, 2011021 (2002).

[Crossref]

B. Wang, Y. Jin, and S. He, “Effects of disorder in a photonic crystal on the extraction efficiency of a light-emitting diode,” J. Appl. Phys. 106, 014508 (2009).

[Crossref]

S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Phys. 78, 1415–1418 (1995).

[Crossref]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 1995).

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

[Crossref]
[PubMed]

W. R. Frei and H. T. Johnson, “Finite-element analysis of disorder effects in photonic crystals,” Phys. Rev. B 70, 165116(2004).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, “Disorder-induced modification of the attenuation of light in a two-dimensional photonic crystal with complete band gap,” Phys. Status Solidi A 195, 612–617 (2003).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

Z. Y. Koide, K. Fujisawa, and M. Nakane, “Preparation of non-contact ordered array of polystyrene colloidal particles by using a metallic thin film of fused hemispheres,” Colloids Surf. A 330, 108–111 (2008).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

R. Meisels and F. Kuchar, “Density-of-states and wave propagation in two-dimensional photonic crystals with positional disorder,” J. Opt. A 9, S396–S402 (2007).

[Crossref]

Y. Kurokawa, H. Miyazaki, H. T. Miyazaki, and Y. Jimba, “Effect of a semi-infinite substrate on the internal electric field intensity distribution of a monolayer of periodically arrayed dielectric spheres,” J. Phys. Soc. Jpn. 74, 924–929 (2005).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Optical band structure and near-field intensity of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness,” Phys. Rev. B 69, 155117 (2004).

[Crossref]

Y. Kurokawa, Y. Jimba, and H. Miyazaki, “Internal electric-field distribution of a monolayer of periodically arrayed dielectric spheres,” Phys. Rev. B 70, 155107 (2004).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates,” Phys. Rev. B 65, 2011021 (2002).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

C. Rockstuhl and F. Lederer, “Suppression of the local density of states in a medium made of randomly arranged dielectric spheres,” Phys. Rev. B 79, 132202 (2009).

[Crossref]

H. Y. Ryu, J. K. Hwang, and Y. H. Lee, “Effect of size nonuniformities on the band gap of two-dimensional photonic crystals,” Phys. Rev. B 59, 5463–5469 (1999).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, “Disorder-induced modification of the attenuation of light in a two-dimensional photonic crystal with complete band gap,” Phys. Status Solidi A 195, 612–617 (2003).

[Crossref]

S. Matsushita and M. Shimomura, “Light-propagation patterns in freestanding two-dimensional colloidal crystals,” Colloids Surf. A 284–285, 315–319 (2006).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 1995).

R. Meisels and F. Kuchar, “Density-of-states and wave propagation in two-dimensional photonic crystals with positional disorder,” J. Opt. A 9, S396–S402 (2007).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

R. Rengarajan, D. Mittleman, C. Rich, and V. Colvin, “Effect of disorder on the optical properties of colloidal crystals,” Phys. Rev. E 71, 016615 (2005).

[Crossref]

Y. Kurokawa, H. Miyazaki, H. T. Miyazaki, and Y. Jimba, “Effect of a semi-infinite substrate on the internal electric field intensity distribution of a monolayer of periodically arrayed dielectric spheres,” J. Phys. Soc. Jpn. 74, 924–929 (2005).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Optical band structure and near-field intensity of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness,” Phys. Rev. B 69, 155117 (2004).

[Crossref]

Y. Kurokawa, Y. Jimba, and H. Miyazaki, “Internal electric-field distribution of a monolayer of periodically arrayed dielectric spheres,” Phys. Rev. B 70, 155107 (2004).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates,” Phys. Rev. B 65, 2011021 (2002).

[Crossref]

H. T. Miyazaki, H. Miyazaki, K. Ohtaka, and T. Sato, “Photonic band in two-dimensional lattices of micrometer-sized spheres mechanically arranged under a scanning electron microscope,” J. Appl. Phys. 87, 7152–7158 (2000).

[Crossref]

Y. Kurokawa, H. Miyazaki, H. T. Miyazaki, and Y. Jimba, “Effect of a semi-infinite substrate on the internal electric field intensity distribution of a monolayer of periodically arrayed dielectric spheres,” J. Phys. Soc. Jpn. 74, 924–929 (2005).

[Crossref]

H. T. Miyazaki, H. Miyazaki, K. Ohtaka, and T. Sato, “Photonic band in two-dimensional lattices of micrometer-sized spheres mechanically arranged under a scanning electron microscope,” J. Appl. Phys. 87, 7152–7158 (2000).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, “Scattering of elastic waves by a periodic monolayer of spheres,” Phys. Rev. B 66, 024303 (2002).

[Crossref]

A. Andueza, R. Echeverría, P. Morales, and J. Sevilla, “Geometry influence on the transmission spectra of dielectric single layers of spheres with different compactness,” J. Appl. Phys. 107, 124902 (2010).

[Crossref]
[PubMed]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

Z. Y. Koide, K. Fujisawa, and M. Nakane, “Preparation of non-contact ordered array of polystyrene colloidal particles by using a metallic thin film of fused hemispheres,” Colloids Surf. A 330, 108–111 (2008).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

H. T. Miyazaki, H. Miyazaki, K. Ohtaka, and T. Sato, “Photonic band in two-dimensional lattices of micrometer-sized spheres mechanically arranged under a scanning electron microscope,” J. Appl. Phys. 87, 7152–7158 (2000).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic band using vector spherical waves. I. Various properties of Bloch electric fields and heavy photons,” J. Phys. Soc. Jpn. 65, 2265–2275 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. II. Reflectivity, coherence and local field,” J. Phys. Soc. Jpn. 65, 2276–2284 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. III. Group-theoretical treatment,” J. Phys. Soc. Jpn. 65, 2670–2684 (1996).

[Crossref]

K. Ohtaka and M. Inoue, “Light scattering from macroscopic spherical bodies. I. Integrated density of states of transverse electromagnetic fields,” Phys. Rev. B 25, 677–688 (1982).

[Crossref]

K. Ohtaka, “Scattering theory of low-energy photon diffraction,” J. Phys. C 13, 667–680 (1980).

[Crossref]

K. Ohtaka, “Energy band of photons and low-energy photon diffraction,” Phys. Rev. B 19, 5057–5067 (1979).

[Crossref]

W. Cai and R. Piestun, “Patterning of silica microsphere monolayers with focused femtosecond laser pulses,” Appl. Phys. Lett. 88, 111112 (2006).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, “Scattering of elastic waves by a periodic monolayer of spheres,” Phys. Rev. B 66, 024303 (2002).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

R. Rengarajan, D. Mittleman, C. Rich, and V. Colvin, “Effect of disorder on the optical properties of colloidal crystals,” Phys. Rev. E 71, 016615 (2005).

[Crossref]

R. Rengarajan, D. Mittleman, C. Rich, and V. Colvin, “Effect of disorder on the optical properties of colloidal crystals,” Phys. Rev. E 71, 016615 (2005).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

C. Rockstuhl and F. Lederer, “Suppression of the local density of states in a medium made of randomly arranged dielectric spheres,” Phys. Rev. B 79, 132202 (2009).

[Crossref]

H. Y. Ryu, J. K. Hwang, and Y. H. Lee, “Effect of size nonuniformities on the band gap of two-dimensional photonic crystals,” Phys. Rev. B 59, 5463–5469 (1999).

[Crossref]

R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, “Scattering of elastic waves by a periodic monolayer of spheres,” Phys. Rev. B 66, 024303 (2002).

[Crossref]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

H. T. Miyazaki, H. Miyazaki, K. Ohtaka, and T. Sato, “Photonic band in two-dimensional lattices of micrometer-sized spheres mechanically arranged under a scanning electron microscope,” J. Appl. Phys. 87, 7152–7158 (2000).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

A. Andueza, R. Echeverría, P. Morales, and J. Sevilla, “Geometry influence on the transmission spectra of dielectric single layers of spheres with different compactness,” J. Appl. Phys. 107, 124902 (2010).

[Crossref]
[PubMed]

A. Andueza, R. Echeverría, and J. Sevilla, “Evolution of the electromagnetic modes of a single layer of dielectric spheres with compactness,” J. Appl. Phys. 104, 043103 (2008).

[Crossref]

A. Andueza and J. Sevilla, “Non compact single-layers of dielectric spheres electromagnetic behaviour,” Opt. Quantum Electron. 39, 311–320 (2007).

[Crossref]

S. Matsushita and M. Shimomura, “Light-propagation patterns in freestanding two-dimensional colloidal crystals,” Colloids Surf. A 284–285, 315–319 (2006).

[Crossref]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, “Scattering of elastic waves by a periodic monolayer of spheres,” Phys. Rev. B 66, 024303 (2002).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic band using vector spherical waves. I. Various properties of Bloch electric fields and heavy photons,” J. Phys. Soc. Jpn. 65, 2265–2275 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. III. Group-theoretical treatment,” J. Phys. Soc. Jpn. 65, 2670–2684 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. II. Reflectivity, coherence and local field,” J. Phys. Soc. Jpn. 65, 2276–2284 (1996).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Phys. 78, 1415–1418 (1995).

[Crossref]

B. Wang, Y. Jin, and S. He, “Effects of disorder in a photonic crystal on the extraction efficiency of a light-emitting diode,” J. Appl. Phys. 106, 014508 (2009).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 1995).

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

[Crossref]
[PubMed]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

J. Sun, Y. Li, H. Dong, P. Zhan, C. Tang, M. Zhu, and Z. Wang, “Fabrication and light-transmission properties of monolayer square symmetric colloidal crystals via controlled convective self-assembly on 1D grooves,” Adv. Mater. 20, 123–128 (2008).

[Crossref]

W. Cai and R. Piestun, “Patterning of silica microsphere monolayers with focused femtosecond laser pulses,” Appl. Phys. Lett. 88, 111112 (2006).

[Crossref]

S. Matsushita and M. Shimomura, “Light-propagation patterns in freestanding two-dimensional colloidal crystals,” Colloids Surf. A 284–285, 315–319 (2006).

[Crossref]

Z. Y. Koide, K. Fujisawa, and M. Nakane, “Preparation of non-contact ordered array of polystyrene colloidal particles by using a metallic thin film of fused hemispheres,” Colloids Surf. A 330, 108–111 (2008).

[Crossref]

A. Andueza, R. Echeverría, P. Morales, and J. Sevilla, “Geometry influence on the transmission spectra of dielectric single layers of spheres with different compactness,” J. Appl. Phys. 107, 124902 (2010).

[Crossref]
[PubMed]

L. L. Lima, M. A. R. C. Alencar, D. P. Caetano, D. R. Solli, and J. M. Hickmann, “The effect of disorder on two-dimensional photonic crystal waveguides,” J. Appl. Phys. 103, 123102(2008).

[Crossref]

H. T. Miyazaki, H. Miyazaki, K. Ohtaka, and T. Sato, “Photonic band in two-dimensional lattices of micrometer-sized spheres mechanically arranged under a scanning electron microscope,” J. Appl. Phys. 87, 7152–7158 (2000).

[Crossref]

A. Andueza, R. Echeverría, and J. Sevilla, “Evolution of the electromagnetic modes of a single layer of dielectric spheres with compactness,” J. Appl. Phys. 104, 043103 (2008).

[Crossref]

B. Wang, Y. Jin, and S. He, “Effects of disorder in a photonic crystal on the extraction efficiency of a light-emitting diode,” J. Appl. Phys. 106, 014508 (2009).

[Crossref]

S. H. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “Theoretical investigation of fabrication-related disorder on the properties of photonic crystals,” J. Appl. Phys. 78, 1415–1418 (1995).

[Crossref]

E. Mine, M. Hirose, D. Nagao, Y. Kobayashi, and M. Konno, “Synthesis of submicrometer-sized titania spherical particles with a sol-gel method and their application to colloidal photonic crystals,” J. Colloid Interface Sci. 291, 162–168 (2005).

[Crossref]
[PubMed]

R. Meisels and F. Kuchar, “Density-of-states and wave propagation in two-dimensional photonic crystals with positional disorder,” J. Opt. A 9, S396–S402 (2007).

[Crossref]

K. Ohtaka, “Scattering theory of low-energy photon diffraction,” J. Phys. C 13, 667–680 (1980).

[Crossref]

D. M. Beggs, M. A. Kaliteevski, S. Brand, R. A. Abram, D. Cassagne, and J. P. Albert, “Disorder induced modification of reflection and transmission spectra of a two-dimensional photonic crystal with an incomplete band-gap,” J. Phys. Condens. Matter 17, 4049–4055 (2005).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic band using vector spherical waves. I. Various properties of Bloch electric fields and heavy photons,” J. Phys. Soc. Jpn. 65, 2265–2275 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. II. Reflectivity, coherence and local field,” J. Phys. Soc. Jpn. 65, 2276–2284 (1996).

[Crossref]

K. Ohtaka and Y. Tanabe, “Photonic bands using vector spherical waves. III. Group-theoretical treatment,” J. Phys. Soc. Jpn. 65, 2670–2684 (1996).

[Crossref]

Y. Kurokawa, H. Miyazaki, H. T. Miyazaki, and Y. Jimba, “Effect of a semi-infinite substrate on the internal electric field intensity distribution of a monolayer of periodically arrayed dielectric spheres,” J. Phys. Soc. Jpn. 74, 924–929 (2005).

[Crossref]

F. Jonsson, C. M. S. Torres, J. Seekamp, M. Schniedergers, A. Tiedemann, J. Ye, and R. Zentel, “Artificially inscribed defects in opal photonic crystals,” Microelectron. Eng. 78–79, 429–435 (2005).

[Crossref]

K. Vynck, K. Cassagne, and E. Centeno, “Superlattice for photonic band gap opening in monolayers of dielectric spheres,” Opt. Express 14, 6668–6674 (2006).

[Crossref]
[PubMed]

T. Prasad, V. L. Colvin, and D. M. Mittleman, “The effect of structural disorder on guided resonances in photonic crystal slabs studied with terahertz time-domain spectroscopy,” Opt. Express 15, 16954–16965 (2007).

[Crossref]
[PubMed]

M. Skorobogatiy, G. Bégin, and A. Talneau, “Statistical analysis of geometrical imperfections from the images of 2D photonic crystals,” Opt. Express 13, 2487–2502 (2005).

[Crossref]
[PubMed]

A. Andueza and J. Sevilla, “Non compact single-layers of dielectric spheres electromagnetic behaviour,” Opt. Quantum Electron. 39, 311–320 (2007).

[Crossref]

R. Sainidou, N. Stefanou, I. E. Psarobas, and A. Modinos, “Scattering of elastic waves by a periodic monolayer of spheres,” Phys. Rev. B 66, 024303 (2002).

[Crossref]

K. Ohtaka, “Energy band of photons and low-energy photon diffraction,” Phys. Rev. B 19, 5057–5067 (1979).

[Crossref]

K. Ohtaka and M. Inoue, “Light scattering from macroscopic spherical bodies. I. Integrated density of states of transverse electromagnetic fields,” Phys. Rev. B 25, 677–688 (1982).

[Crossref]

K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J. S. Bae, K. Mizuno, S. Yano, and Y. Segawa, “Photonic band effects in a two-dimensional array of dielectric spheres in the millimeter-wave region,” Phys. Rev. B 61, 5267–5279(2000).

[Crossref]

T. Kondo, S. Yamaguti, M. Hangyo, K. Yamamoto, Y. Segawa, and K. Ohtaka, “Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres,” Phys. Rev. B 70, 235113 (2004).

[Crossref]

T. Kondo, M. Hangyo, S. Yamaguchi, S. Yano, Y. Segawa, and K. Ohtaka, “Transmission characteristics of a two-dimensional photonic crystal array of dielectric spheres using subterahertz time domain spectroscopy,” Phys. Rev. B 66, 331111 (2002).

[Crossref]

Y. Kurokawa, Y. Jimba, and H. Miyazaki, “Internal electric-field distribution of a monolayer of periodically arrayed dielectric spheres,” Phys. Rev. B 70, 155107 (2004).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Optical band structure and near-field intensity of a periodically arrayed monolayer of dielectric spheres on dielectric substrate of finite thickness,” Phys. Rev. B 69, 155117 (2004).

[Crossref]

Y. Kurokawa, H. Miyazaki, and Y. Jimba, “Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates,” Phys. Rev. B 65, 2011021 (2002).

[Crossref]

H. Y. Ryu, J. K. Hwang, and Y. H. Lee, “Effect of size nonuniformities on the band gap of two-dimensional photonic crystals,” Phys. Rev. B 59, 5463–5469 (1999).

[Crossref]

I. V. Ponomarev, M. Schwab, G. Dasbach, M. Bayer, T. L. Reinecke, J. P. Reithmaier, and A. Forchel, “Influence of geometric disorder on the band structure of a photonic crystal: Experiment and theory,” Phys. Rev. B 75, 205434(2007).

[Crossref]

L. A. Dorado and R. A. Depine, “Modeling of disorder effects and optical extinction in three-dimensional photonic crystals,” Phys. Rev. B 79, 045124 (2009).

[Crossref]

W. R. Frei and H. T. Johnson, “Finite-element analysis of disorder effects in photonic crystals,” Phys. Rev. B 70, 165116(2004).

[Crossref]

M. M. Sigalas, C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, “Effect of disorder on photonic band gaps,” Phys. Rev. B 59, 12767–12770 (1999).

[Crossref]

A. V. Baryshev, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, “Light diffraction from opal-based photonic crystals with growth-induced disorder: experiment and theory,” Phys. Rev. B 73, 205118 (2006).

[Crossref]

C. Rockstuhl and F. Lederer, “Suppression of the local density of states in a medium made of randomly arranged dielectric spheres,” Phys. Rev. B 79, 132202 (2009).

[Crossref]

R. Rengarajan, D. Mittleman, C. Rich, and V. Colvin, “Effect of disorder on the optical properties of colloidal crystals,” Phys. Rev. E 71, 016615 (2005).

[Crossref]

A. A. Asatryan, P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. M. de Sterke, “Effects of disorder on wave propagation in two-dimensional photonic crystals,” Phys. Rev. E 60, 6118–6127 (1999).

[Crossref]

T. N. Langtry, A. A. Asatryan, L. C. Botten, C. M. de Sterke, R. C. McPhedran, and P. A. Robinson, “Effects of disorder in two-dimensional photonic crystal waveguides,” Phys. Rev. E 68, 026611 (2003).

[Crossref]

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

[Crossref]
[PubMed]

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

[Crossref]
[PubMed]

M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, “Disorder-induced modification of the attenuation of light in a two-dimensional photonic crystal with complete band gap,” Phys. Status Solidi A 195, 612–617 (2003).

[Crossref]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, 1995).