Abstract

The physical origin of the optical response observed in three-dimensional photonic crystals when the photon wavelength is equal or lower than the lattice parameter still remains unsatisfactorily explained and is the subject of an intense and interesting debate. Herein we demonstrate for the first time that all optical spectra features in this high energy region of photonic crystals arise from electromagnetic resonances within the ordered array, modified by the interplay between these resonances with the opening of diffraction channels, the presence of imperfections and finite size effects. All these four phenomena are taken into account in our theoretical approach to the problem, which allows us to provide a full description of the observed optical response based on fundamental phenomena as well as to attain fair fittings of experimental results.

© 2007 Optical Society of America

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  1. H. Miyazaki and K. Ohtaka, "Near-field images of a monolayer of periodically arrayed dielectric spheres," Phys. Rev. B 58, 6920-6937 (1998).
    [CrossRef]
  2. Y. Kurokawa, H. Miyazaki, and Y. Jimba, "Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates," Phys. Rev. B 65, 201102 (2002).
    [CrossRef]
  3. Y. Kurokawa, Y. Jimba, and H. Miyazaki, "Internal electric-field intensity distribution of a monolayer of periodically arrayed dielectric spheres," Phys. Rev. B 70, 155107 (2004).
    [CrossRef]
  4. H. Míguez, V. Kitaev, G. Ozin, "Band spectroscopy of colloidal photonic crystal films," Appl. Phys. Lett. 84, 1239-1241 (2004).
    [CrossRef]
  5. J. F. Galisteo-López, C. López, "High-energy optical response of artificial opals," Phys. Rev. B 70, 035108 (2004).
    [CrossRef]
  6. S. Wong, V. Kitaev, G.A. Ozin, "Colloidal Crystal Films: Advances in Universality and Perfection," J. Am. Chem. Soc. 125, 15589-15598 (2003).
    [CrossRef] [PubMed]
  7. K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
    [CrossRef]
  8. X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
    [CrossRef]
  9. A. Balestreri, L. Andreani, M. Agio, "Optical properties and diffraction effects in opal photonic crystals," Phys. Rev. E 74, 036603 (2006).
    [CrossRef]
  10. F. García-Santamaría, J. F. Galisteo-López, P. V. Braun, C. López, "Optical diffraction and high-energy features in three-dimensional photonic crystals," Phys. Rev. B 71, 195112 (2005).
    [CrossRef]
  11. A. F. Koenderink, A. Lagendijk, W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B 72, 153102 (2005).
    [CrossRef]
  12. J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
    [CrossRef]
  13. L. Dorado, R. A. Depine, H. Míguez, "Effect of extinction on the high-energy optical response of photonic crystals," Phys. Rev. B  75, 241101(R) (2007).
    [CrossRef]
  14. K. Ohtaka, "Scattering theory of low-energy photon diffraction," J. Phys. C: Solid State Phys. 13, 667-680 (1980).
    [CrossRef]
  15. N. Stefanou, V. Yannopapas, A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998);
    [CrossRef]
  16. N. Stefanou, V. Yannopapas, A. Modinos, "MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000).
    [CrossRef]
  17. L. Dorado, R. A. Depine, H. Míguez, "Resonant multipole effects in monolayers of periodically arrayed dielectric spheres", Phys. Rev. B (2007, submitted).
  18. M. Inoue, "Enhancement of local field by a two-dimensional array of dielectric spheres placed on a substrate," Phys. Rev. B 36, 2852-2862 (1987).
    [CrossRef]
  19. 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, 033111 (2002).
    [CrossRef]
  20. B. Gralak, D. Maystre, “Electromagnetic phenomenological study of photonic band structures,” J. Modern Optics 47, 1253-1272 (2000).

2007 (2)

X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
[CrossRef]

L. Dorado, R. A. Depine, H. Míguez, "Resonant multipole effects in monolayers of periodically arrayed dielectric spheres", Phys. Rev. B (2007, submitted).

2006 (2)

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

A. Balestreri, L. Andreani, M. Agio, "Optical properties and diffraction effects in opal photonic crystals," Phys. Rev. E 74, 036603 (2006).
[CrossRef]

2005 (2)

F. García-Santamaría, J. F. Galisteo-López, P. V. Braun, C. López, "Optical diffraction and high-energy features in three-dimensional photonic crystals," Phys. Rev. B 71, 195112 (2005).
[CrossRef]

A. F. Koenderink, A. Lagendijk, W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B 72, 153102 (2005).
[CrossRef]

2004 (3)

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

H. Míguez, V. Kitaev, G. Ozin, "Band spectroscopy of colloidal photonic crystal films," Appl. Phys. Lett. 84, 1239-1241 (2004).
[CrossRef]

J. F. Galisteo-López, C. López, "High-energy optical response of artificial opals," Phys. Rev. B 70, 035108 (2004).
[CrossRef]

2003 (2)

S. Wong, V. Kitaev, G.A. Ozin, "Colloidal Crystal Films: Advances in Universality and Perfection," J. Am. Chem. Soc. 125, 15589-15598 (2003).
[CrossRef] [PubMed]

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

2002 (2)

Y. Kurokawa, H. Miyazaki, and Y. Jimba, "Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates," Phys. Rev. B 65, 201102 (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, 033111 (2002).
[CrossRef]

2000 (1)

N. Stefanou, V. Yannopapas, A. Modinos, "MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000).
[CrossRef]

1998 (2)

N. Stefanou, V. Yannopapas, A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998);
[CrossRef]

H. Miyazaki and K. Ohtaka, "Near-field images of a monolayer of periodically arrayed dielectric spheres," Phys. Rev. B 58, 6920-6937 (1998).
[CrossRef]

1987 (1)

M. Inoue, "Enhancement of local field by a two-dimensional array of dielectric spheres placed on a substrate," Phys. Rev. B 36, 2852-2862 (1987).
[CrossRef]

1980 (1)

K. Ohtaka, "Scattering theory of low-energy photon diffraction," J. Phys. C: Solid State Phys. 13, 667-680 (1980).
[CrossRef]

1272 (1)

B. Gralak, D. Maystre, “Electromagnetic phenomenological study of photonic band structures,” J. Modern Optics 47, 1253-1272 (2000).

Agio, M.

A. Balestreri, L. Andreani, M. Agio, "Optical properties and diffraction effects in opal photonic crystals," Phys. Rev. E 74, 036603 (2006).
[CrossRef]

Andreani, L.

A. Balestreri, L. Andreani, M. Agio, "Optical properties and diffraction effects in opal photonic crystals," Phys. Rev. E 74, 036603 (2006).
[CrossRef]

Andreani, L. C.

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

Balestreri, A.

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

A. Balestreri, L. Andreani, M. Agio, "Optical properties and diffraction effects in opal photonic crystals," Phys. Rev. E 74, 036603 (2006).
[CrossRef]

Blanco, A.

X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
[CrossRef]

Braun, P. V.

F. García-Santamaría, J. F. Galisteo-López, P. V. Braun, C. López, "Optical diffraction and high-energy features in three-dimensional photonic crystals," Phys. Rev. B 71, 195112 (2005).
[CrossRef]

Checoury, X.

X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
[CrossRef]

Clays, K.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

de Schaetzen, G.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

Depine, R. A.

L. Dorado, R. A. Depine, H. Míguez, "Resonant multipole effects in monolayers of periodically arrayed dielectric spheres", Phys. Rev. B (2007, submitted).

Dorado, L.

L. Dorado, R. A. Depine, H. Míguez, "Resonant multipole effects in monolayers of periodically arrayed dielectric spheres", Phys. Rev. B (2007, submitted).

Enoch, S.

X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
[CrossRef]

Galisteo-López, J. F.

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

F. García-Santamaría, J. F. Galisteo-López, P. V. Braun, C. López, "Optical diffraction and high-energy features in three-dimensional photonic crystals," Phys. Rev. B 71, 195112 (2005).
[CrossRef]

J. F. Galisteo-López, C. López, "High-energy optical response of artificial opals," Phys. Rev. B 70, 035108 (2004).
[CrossRef]

Galli, M.

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

García-Santamaría, F.

F. García-Santamaría, J. F. Galisteo-López, P. V. Braun, C. López, "Optical diffraction and high-energy features in three-dimensional photonic crystals," Phys. Rev. B 71, 195112 (2005).
[CrossRef]

Gralak, B.

B. Gralak, D. Maystre, “Electromagnetic phenomenological study of photonic band structures,” J. Modern Optics 47, 1253-1272 (2000).

Hangyo, M.

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, 033111 (2002).
[CrossRef]

Hellemans, L.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

Inoue, M.

M. Inoue, "Enhancement of local field by a two-dimensional array of dielectric spheres placed on a substrate," Phys. Rev. B 36, 2852-2862 (1987).
[CrossRef]

Jimba, Y.

Y. Kurokawa, Y. Jimba, and H. Miyazaki, "Internal electric-field intensity 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, 201102 (2002).
[CrossRef]

Kitaev, V.

H. Míguez, V. Kitaev, G. Ozin, "Band spectroscopy of colloidal photonic crystal films," Appl. Phys. Lett. 84, 1239-1241 (2004).
[CrossRef]

S. Wong, V. Kitaev, G.A. Ozin, "Colloidal Crystal Films: Advances in Universality and Perfection," J. Am. Chem. Soc. 125, 15589-15598 (2003).
[CrossRef] [PubMed]

Koenderink, A. F.

A. F. Koenderink, A. Lagendijk, W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B 72, 153102 (2005).
[CrossRef]

Kondo, T.

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, 033111 (2002).
[CrossRef]

Kurokawa, Y.

Y. Kurokawa, Y. Jimba, and H. Miyazaki, "Internal electric-field intensity 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, 201102 (2002).
[CrossRef]

Lagendijk, A.

A. F. Koenderink, A. Lagendijk, W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B 72, 153102 (2005).
[CrossRef]

López, C.

X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
[CrossRef]

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

F. García-Santamaría, J. F. Galisteo-López, P. V. Braun, C. López, "Optical diffraction and high-energy features in three-dimensional photonic crystals," Phys. Rev. B 71, 195112 (2005).
[CrossRef]

J. F. Galisteo-López, C. López, "High-energy optical response of artificial opals," Phys. Rev. B 70, 035108 (2004).
[CrossRef]

Maystre, D.

B. Gralak, D. Maystre, “Electromagnetic phenomenological study of photonic band structures,” J. Modern Optics 47, 1253-1272 (2000).

Míguez, H.

L. Dorado, R. A. Depine, H. Míguez, "Resonant multipole effects in monolayers of periodically arrayed dielectric spheres", Phys. Rev. B (2007, submitted).

H. Míguez, V. Kitaev, G. Ozin, "Band spectroscopy of colloidal photonic crystal films," Appl. Phys. Lett. 84, 1239-1241 (2004).
[CrossRef]

Miyazaki, H.

Y. Kurokawa, Y. Jimba, and H. Miyazaki, "Internal electric-field intensity 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, 201102 (2002).
[CrossRef]

H. Miyazaki and K. Ohtaka, "Near-field images of a monolayer of periodically arrayed dielectric spheres," Phys. Rev. B 58, 6920-6937 (1998).
[CrossRef]

Modinos, A.

N. Stefanou, V. Yannopapas, A. Modinos, "MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000).
[CrossRef]

N. Stefanou, V. Yannopapas, A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998);
[CrossRef]

Ohtaka, K.

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, 033111 (2002).
[CrossRef]

H. Miyazaki and K. Ohtaka, "Near-field images of a monolayer of periodically arrayed dielectric spheres," Phys. Rev. B 58, 6920-6937 (1998).
[CrossRef]

K. Ohtaka, "Scattering theory of low-energy photon diffraction," J. Phys. C: Solid State Phys. 13, 667-680 (1980).
[CrossRef]

Ozin, G.

H. Míguez, V. Kitaev, G. Ozin, "Band spectroscopy of colloidal photonic crystal films," Appl. Phys. Lett. 84, 1239-1241 (2004).
[CrossRef]

Ozin, G.A.

S. Wong, V. Kitaev, G.A. Ozin, "Colloidal Crystal Films: Advances in Universality and Perfection," J. Am. Chem. Soc. 125, 15589-15598 (2003).
[CrossRef] [PubMed]

Patrini, M.

J. F. Galisteo-López, M. Galli, M. Patrini, A. Balestreri, L. C. Andreani, C. López, "Effective refractive index and group velocity determination of three- dimensional photonic crystals by means of white light interferometry," Phys. Rev. B 73, 125103 (2006).
[CrossRef]

Persoons, A.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

Segawa, Y.

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, 033111 (2002).
[CrossRef]

Stefanou, N.

N. Stefanou, V. Yannopapas, A. Modinos, "MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000).
[CrossRef]

N. Stefanou, V. Yannopapas, A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998);
[CrossRef]

Vos, W. L.

A. F. Koenderink, A. Lagendijk, W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B 72, 153102 (2005).
[CrossRef]

Wong, S.

S. Wong, V. Kitaev, G.A. Ozin, "Colloidal Crystal Films: Advances in Universality and Perfection," J. Am. Chem. Soc. 125, 15589-15598 (2003).
[CrossRef] [PubMed]

Wostyn, K.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

Yamaguchi, S.

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, 033111 (2002).
[CrossRef]

Yannopapas, V.

N. Stefanou, V. Yannopapas, A. Modinos, "MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000).
[CrossRef]

N. Stefanou, V. Yannopapas, A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998);
[CrossRef]

Yano, S.

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, 033111 (2002).
[CrossRef]

Yee, B.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

Zhao, Y.

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

Appl. Phys. Lett. (2)

H. Míguez, V. Kitaev, G. Ozin, "Band spectroscopy of colloidal photonic crystal films," Appl. Phys. Lett. 84, 1239-1241 (2004).
[CrossRef]

X. Checoury, S. Enoch, C. López, A. Blanco, "Stacking patterns in self-assembly opal photonic crystals," Appl. Phys. Lett. 90, 161131 (2007).
[CrossRef]

Comput. Phys. Commun. (2)

N. Stefanou, V. Yannopapas, A. Modinos, "Heterostructures of photonic crystals: frequency bands and transmission coefficients," Comput. Phys. Commun. 113, 49-77 (1998);
[CrossRef]

N. Stefanou, V. Yannopapas, A. Modinos, "MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals," Comput. Phys. Commun. 132, 189-196 (2000).
[CrossRef]

J. Modern Optics (1)

B. Gralak, D. Maystre, “Electromagnetic phenomenological study of photonic band structures,” J. Modern Optics 47, 1253-1272 (2000).

J. Am. Chem. Soc. (1)

S. Wong, V. Kitaev, G.A. Ozin, "Colloidal Crystal Films: Advances in Universality and Perfection," J. Am. Chem. Soc. 125, 15589-15598 (2003).
[CrossRef] [PubMed]

J. Chem. Phys. (1)

K. Wostyn, Y. Zhao, B. Yee, K. Clays, A. Persoons, G. de Schaetzen, L. Hellemans, "Optical properties and orientation of arrays of polystyrene spheres deposited using convective self-assembly," J. Chem. Phys. 118, 10752-10757 (2003).
[CrossRef]

J. Phys. C: Solid State Phys. (1)

K. Ohtaka, "Scattering theory of low-energy photon diffraction," J. Phys. C: Solid State Phys. 13, 667-680 (1980).
[CrossRef]

Phys. Rev. B (10)

J. F. Galisteo-López, C. López, "High-energy optical response of artificial opals," Phys. Rev. B 70, 035108 (2004).
[CrossRef]

H. Miyazaki and K. Ohtaka, "Near-field images of a monolayer of periodically arrayed dielectric spheres," Phys. Rev. B 58, 6920-6937 (1998).
[CrossRef]

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Phys. Rev. E (1)

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Other (1)

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[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

(a) Comparison between the reflectance spectrum (LMAX=9) and its dipolar contribution (LMAX=1) of a self-standing monolayer (N=1) for energies just below the diffraction cut-off. (b) TM and TE dipolar contributions to the reflectance spectrum in (a). (c) Comparison between the reflectance spectrum (LMAX=9) and its dipolar contribution (LMAX=1) of a self-standing bilayer (N=2) for energies just below the diffraction cut-off. (d) TM and TE dipolar contributions to the reflectance spectrum in (c). The sphere radius and dielectric constant are S=0.15a and ε s =2.5, respectively, while the embedding medium is air.

Fig. 2.
Fig. 2.

Specular reflectance spectra for self-standing slabs of close-packed spheres of dielectric constant ε s =2.5 (black solid lines) and ε s =2.5+0.04i (red dashed lines) in air. (a) N=1, (b) N=2, (c) N=3, (d) N=21 layers.

Fig. 3.
Fig. 3.

Measured (black solid lines) and calculated (red dashed lines) specular reflectance spectra for glass-supported slabs of close-packed spheres of dielectric constant ε s =2.5+ i in air. (a) N=6 layers, ε i =0.08, (b) N=18 layers, ε i =0.06.

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