Simulations of wave propagation and disorder in 3D non-close-packed colloidal photonic crystals with low refractive index contrast

doi:10.1364/OE.18.007101

Simulations of wave propagation and disorder in 3D non-close-packed colloidal photonic crystals with low refractive index contrast

O. Glushko, R. Meisels, and F. Kuchar »View Author Affiliations

Optics Express, Vol. 18, Issue 7, pp. 7101-7107 (2010)
http://dx.doi.org/10.1364/OE.18.007101

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Abstract

The plane-wave expansion method (PWEM), the multiple-scattering method (MSM) and the 3D finite-difference time-domain method (FDTD) are applied for simulations of propagation of electromagnetic waves through 3D colloidal photonic crystals. The system investigated is not a “usual” artificial opal with close-packed fcc lattice but a dilute bcc structure which occurs due to long-range repulsive interaction between electrically charged colloidal particles during the growth process. The basic optical properties of non-close-packed colloidal PhCs are explored by examining the band structure and reflection spectra for a bcc lattice of silica spheres in an aqueous medium. Finite size effects and correspondence between the Bragg model, band structure and reflection spectra are discussed. The effects of size, positional and missing-spheres disorder are investigated. In addition, by analyzing the results of experimental work we show that the fabricated structures have reduced plane-to-plane distance probably due to the effect of gravity during growth.

OCIS Codes
(220.0220) Optical design and fabrication : Optical design and fabrication
(230.0230) Optical devices : Optical devices
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: December 10, 2009
Revised Manuscript: January 29, 2010
Manuscript Accepted: February 4, 2010
Published: March 23, 2010

Citation
O. Glushko, R. Meisels, and F. Kuchar, "Simulations of wave propagation and disorder in 3D non-close-packed colloidal photonic crystals with low refractive index contrast," Opt. Express 18, 7101-7107 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-7-7101

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References

W. L. Vos, M. Megens, C. M. Kats, and P. Bösecke, “Transmission and diffraction by photonic colloidal crystals,” J. Phys. Condens. Matter 8(47), 9503–9507 (1996). [CrossRef]
H. Míguez, F. Meseguer, C. López, A. Mifsud, J. S. Moya, and L. Vázquez, “Evidence of FCC Crystallization of SiO2 Nanospheres,” Langmuir 13(23), 6009–6011 (1997). [CrossRef]
K. Busch and S. John, “Photonic band gap formation in certain self-organizing systems,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(3), 3896–3908 (1998). [CrossRef]
G. Subramania, K. Constant, R. Biswas, M. M. Sigalas, and K.-M. Ho, “Optical photonic crystals fabricated from colloidal systems,” Appl. Phys. Lett. 74(26), 3933 (1999). [CrossRef]
G. S. Lozano, L. A. Dorado, R. A. Depine, and H. Míguez, “Towards a full understanding of the growth dynamics and optical response of self-assembled photonic colloidal crystal films,” J. Mater. Chem. 19(2), 185–190 (2008). [CrossRef]
M. Bardosova and R. H. Tredgold, “Ordered layers of monodispersive colloids,” J. Mater. Chem. 12(10), 2835–2842 (2002). [CrossRef]
M. Bardosova, P. Hodge, L. Pach, M. E. Pemble, V. Smatko, R. H. Tredgold, and D. Whitehead, “Synthetic opals made by the Langmuir-Blodgett method,” Thin Solid Films 437(1-2), 276–279 (2003). [CrossRef]
H. Nakamura and M. Ishii, “Effects of medium composition on optical properties and microstructures of non-close-packed colloidal crystalline arrays,” Colloid Polym. Sci. 285(7), 833–837 (2007). [CrossRef]
Yu. Iwayama, J. Yamanaka, Y. Takiguchi, M. Takasaka, K. Ito, T. Shinohara, T. Sawada, and M. Yonese, “Optically tunable gelled photonic crystal covering almost the entire visible light wavelength region,” Langmuir 19(4), 977–980 (2003). [CrossRef]
A. Toyotama, J. Yamanaka, M. Yonese, T. Sawada, and F. Uchida, “Thermally driven unidirectional crystallization of charged colloidal silica,” J. Am. Chem. Soc. 129(11), 3044–3045 (2007). [CrossRef] [PubMed]
B. V. R. Tata and S. S. Jena, “Ordering dynamics and phase transitions in charged colloids,” Solid State Commun. 139(11-12), 562–580 (2006). [CrossRef]
R. Goldberg and H. J. Schope, “Opaline hydrogels: polycrystalline body-centered-cubic bulk material with an in situ variable lattice constant,” Chem. Mater. 19(25), 6095–6100 (2007). [CrossRef]
J. F. Bertone, P. Jiang, K. S. Hwang, D. M. Mittleman, and V. L. Colvin, “Thickness dependence of the optical properties of ordered silica-air and air-polymer photonic crystals,” Phys. Rev. Lett. 83(2), 300–303 (1999). [CrossRef]
F. Galisteo-Lopez, F. Garcia-Santamara, D. Golmayo, B. H. Juarez, C. Lopez, and E. Palacios-Lidon, “Design of photonic bands for opal-based photonic crystals,” Photon. Nanostr.: Fund. Appl. 2(2), 117–125 (2004). [CrossRef]
P. D. García, R. Sapienza, and C. López, “Photonic Glasses: A Step Beyond White Paint,” Adv. Mater. 22(1), 12–19 (2010)). [CrossRef] [PubMed]
N. Stefanou, V. Yannopapas, and A. Modinos, “MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals,” Comput. Phys. Commun. 132(1-2), 189–196 (2000). [CrossRef]

Bardosova, M.
Bertone, J. F.
Biswas, R.
Bösecke, P.
Busch, K.
Colvin, V. L.
Constant, K.
Depine, R. A.
Dorado, L. A.
Galisteo-Lopez, F.
García, P. D.
Garcia-Santamara, F.
Goldberg, R.
Golmayo, D.
Ho, K.-M.
Hodge, P.
Hwang, K. S.
Ishii, M.
Ito, K.
Iwayama, Yu.
Jena, S. S.
Jiang, P.
John, S.
Juarez, B. H.
Kats, C. M.
Lopez, C.
López, C.
Lozano, G. S.
Megens, M.
Meseguer, F.
Mifsud, A.
Míguez, H.
Mittleman, D. M.
Modinos, A.
Moya, J. S.
Nakamura, H.
Pach, L.
Palacios-Lidon, E.
Pemble, M. E.
Sapienza, R.
Sawada, T.
Schope, H. J.
Shinohara, T.
Sigalas, M. M.
Smatko, V.
Stefanou, N.
Subramania, G.
Takasaka, M.
Takiguchi, Y.
Tata, B. V. R.
Toyotama, A.
Tredgold, R. H.
Uchida, F.
Vázquez, L.
Vos, W. L.
Whitehead, D.
Yamanaka, J.
Yannopapas, V.
Yonese, M.

Adv. Mater.

P. D. García, R. Sapienza, and C. López, “Photonic Glasses: A Step Beyond White Paint,” Adv. Mater. 22(1), 12–19 (2010)). [CrossRef] [PubMed]

Appl. Phys. Lett.

G. Subramania, K. Constant, R. Biswas, M. M. Sigalas, and K.-M. Ho, “Optical photonic crystals fabricated from colloidal systems,” Appl. Phys. Lett. 74(26), 3933 (1999). [CrossRef]

Chem. Mater.

R. Goldberg and H. J. Schope, “Opaline hydrogels: polycrystalline body-centered-cubic bulk material with an in situ variable lattice constant,” Chem. Mater. 19(25), 6095–6100 (2007). [CrossRef]

Colloid Polym. Sci.

H. Nakamura and M. Ishii, “Effects of medium composition on optical properties and microstructures of non-close-packed colloidal crystalline arrays,” Colloid Polym. Sci. 285(7), 833–837 (2007). [CrossRef]

Comput. Phys. Commun.

N. Stefanou, V. Yannopapas, and A. Modinos, “MULTEM 2: A new version of the program for transmission and band-structure calculations of photonic crystals,” Comput. Phys. Commun. 132(1-2), 189–196 (2000). [CrossRef]

J. Am. Chem. Soc.

A. Toyotama, J. Yamanaka, M. Yonese, T. Sawada, and F. Uchida, “Thermally driven unidirectional crystallization of charged colloidal silica,” J. Am. Chem. Soc. 129(11), 3044–3045 (2007). [CrossRef] [PubMed]

J. Mater. Chem.

G. S. Lozano, L. A. Dorado, R. A. Depine, and H. Míguez, “Towards a full understanding of the growth dynamics and optical response of self-assembled photonic colloidal crystal films,” J. Mater. Chem. 19(2), 185–190 (2008). [CrossRef]
M. Bardosova and R. H. Tredgold, “Ordered layers of monodispersive colloids,” J. Mater. Chem. 12(10), 2835–2842 (2002). [CrossRef]

J. Phys. Condens. Matter

W. L. Vos, M. Megens, C. M. Kats, and P. Bösecke, “Transmission and diffraction by photonic colloidal crystals,” J. Phys. Condens. Matter 8(47), 9503–9507 (1996). [CrossRef]

Langmuir

H. Míguez, F. Meseguer, C. López, A. Mifsud, J. S. Moya, and L. Vázquez, “Evidence of FCC Crystallization of SiO2 Nanospheres,” Langmuir 13(23), 6009–6011 (1997). [CrossRef]
Yu. Iwayama, J. Yamanaka, Y. Takiguchi, M. Takasaka, K. Ito, T. Shinohara, T. Sawada, and M. Yonese, “Optically tunable gelled photonic crystal covering almost the entire visible light wavelength region,” Langmuir 19(4), 977–980 (2003). [CrossRef]

Photon. Nanostr.: Fund. Appl.

F. Galisteo-Lopez, F. Garcia-Santamara, D. Golmayo, B. H. Juarez, C. Lopez, and E. Palacios-Lidon, “Design of photonic bands for opal-based photonic crystals,” Photon. Nanostr.: Fund. Appl. 2(2), 117–125 (2004). [CrossRef]

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics

K. Busch and S. John, “Photonic band gap formation in certain self-organizing systems,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(3), 3896–3908 (1998). [CrossRef]

Phys. Rev. Lett.

J. F. Bertone, P. Jiang, K. S. Hwang, D. M. Mittleman, and V. L. Colvin, “Thickness dependence of the optical properties of ordered silica-air and air-polymer photonic crystals,” Phys. Rev. Lett. 83(2), 300–303 (1999). [CrossRef]

Solid State Commun.

B. V. R. Tata and S. S. Jena, “Ordering dynamics and phase transitions in charged colloids,” Solid State Commun. 139(11-12), 562–580 (2006). [CrossRef]

Thin Solid Films

M. Bardosova, P. Hodge, L. Pach, M. E. Pemble, V. Smatko, R. H. Tredgold, and D. Whitehead, “Synthetic opals made by the Langmuir-Blodgett method,” Thin Solid Films 437(1-2), 276–279 (2003). [CrossRef]

2010, García, Adv. Mater.
2008, Lozano, J. Mater. Chem.
2007, Nakamura, Colloid Polym. Sci.
2007, Toyotama, J. Am. Chem. Soc.
2007, Goldberg, Chem. Mater.
2006, Tata, Solid State Commun.
2004, Galisteo-Lopez, Photon. Nanostr.: Fund. Appl.
2003, Bardosova, Thin Solid Films
2003, Iwayama, Langmuir
2002, Bardosova, J. Mater. Chem.
2000, Stefanou, Comput. Phys. Commun.
1999, Bertone, Phys. Rev. Lett.
1999, Subramania, Appl. Phys. Lett.
1998, Busch, Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics
1997, Míguez, Langmuir
1996, Vos, J. Phys. Condens. Matter

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