Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres

Kondo, Takashi; Yamaguti, S.; Hangyo, Masanori; Yamamoto, Keiji; Segawa, Y.; Ohtaka, K.

doi:10.1103/physrevb.70.235113

Cited by 16 publications

(10 citation statements)

References 24 publications

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“…As mentioned in the introduction, the case of compact sphere single-layers has been extensively studied Kurokawa 2004;Miyazaki et al 1998Miyazaki et al , 2000Sakoda 1997;Kurokawa et al 2004;Yano et al 2002;Kondo et al 2002Kondo et al , 2004. However, for direct comparison of results it is needed to consider close values of the dielectric permeability (ε) of the spheres used.…”

Section: Resultsmentioning

confidence: 96%

“…However, for direct comparison of results it is needed to consider close values of the dielectric permeability (ε) of the spheres used. A systematic study of the dependence on the spheres refractive index of the transmission properties of sphere close packed single layers can be found in (Kondo et al 2004). Comparison of our results with the equivalent case there reported show an excellent agreement.…”

Section: Resultsmentioning

confidence: 99%

“…In this framework, at the end of the seventies, Ohtaka and Pendry (Ohtaka 1980(Ohtaka , 1979Ohtaka et al 1982, Ohtaka andTanabe 1996a, b, c;Pendry 1971) fist studied the case of periodic monolayers of dielectric spheres. In recent years, taking advantage of the explosion of work around Photonic Crystal structures, 2D arrangements of spheres have been object of much interest as bidimensional photonic crystal structures (Ohtaka et al 2000;Miyazaki et al 2000;Kondo et al 2002Kondo et al , 2004Yano et al 2002;Kurogawa et al 2004b).…”

Section: Introductionmentioning

confidence: 98%

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Non compact single-layers of dielectric spheres electromagnetc behaviour

Andueza

Sevilla

2007

Opt Quant Electron

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Single layer of dielectric spheres is a recognized model for the basic understanding of some aspects of photonic crystals. Here we present a systematic study of the effect of compacting in the electromagnetic transmission of dielectric spheres monolayers. Experiments were performed in the microwave domain (from 10 GHz to 30 GHz) with glass spheres of high dielectric permittivity ε = 7. Time Domain Finite Integration (TDFI) calculations were also accomplished. Experimental data and TDFI calculations agreement provides a double check on the lack of experimental artefacts and the correctness of simulation settings. Following the evolution of the lower frequency spectral peak with layer compacting ratio, we established three different electromagnetic regimes. For the higher and lower compacting ratio regimes, the peak frequency matches isolated sphere pure resonances, while for intermediate values of compacting, some transition between these two modes takes place. Extending the study to the complete frequency range, we find that sphere single layers transmission spectra become closer to isolated sphere scattering calculations as the compacting ratio is decreased. However as the agreement remains imperfect even for our lowest compacting measurable layer, we conclude that some structure contribution cannot be neglected even for low compact layers.

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Section: Resultsmentioning

confidence: 96%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Non compact single-layers of dielectric spheres electromagnetc behaviour

Andueza

Sevilla

2007

Opt Quant Electron

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“…This system consisting in a two dimensional array of spheres, has been extensively studied showing that the rejected bands correspond to collective resonant modes originated from non evident inter-relations between isolated sphere Mie modes and structure factors due to the interaction among the spheres. Therefore it is possible to establish a relation between the higher order bands and the resonances of two-dimensional arrangements of spheres (Andueza and Sevilla 2007;Kondo et al 2004). …”

Section: Resultsmentioning

confidence: 99%

“…This photonic structure has been widely studied both experimentally and theoretically. The monolayer is an ordered arrangement of well defined resonators (Andueza and Sevilla 2007;Kondo et al 2004;Ohtaka and Inoue 1982;Ohtaka 1979;Miyazaki et al 2000;Kurokawa et al 2004;Kondo et al 2002) that present collective resonant states. These resonant states are due to a complex combination of isolated sphere scattering (Mie modes) and effects depending on the structure (Miyazaki et al 2000).…”

Section: Resultsmentioning

confidence: 99%

Photonic band effects in three dimensional lattices of macroscopic-sized dielectric spheres derived from microwave transmission spectroscopy

et al. 2008

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Several structures of dielectric spheres (glass) have been arranged and the electromagnetic absorption properties of the resulting materials have been measured in the microwave domain. In all cases strong rejected bands are present while keeping nearly transparent for other frequencies. The physical origin of the observed bands is studied by recording the spectra of the materials as they are grown layer by layer. These data show the appearance of a peak attributed to Bragg scattering generated by the spheres layers. Besides, higher order bands are developed over the resonances that are found even in the single layer of spheres. These are caused by a complex interaction of isolated sphere Mie modes and Bragg scattering in planes perpendicular (or nearly) to the incident radiation.

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Fabrication and Light‐Transmission Properties of Monolayer Square Symmetric Colloidal Crystals via Controlled Convective Self‐assembly on 1D Grooves

Sun

Han

et al. 2007

Advanced Materials

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Two-dimensional (2D) colloidal crystals have intriguing properties, which make them quite useful in a wide range of applications. For example, 2D colloidal crystals have been widely used as physical masks in, for example, nanosphere lithography, [1] for preparation of metal nanoparticle arrays with a variety of particle morphologies, [2] as templates for growth of binary colloidal crystals, [3] and recently even as templating substrates for preparation of novel plasmonic crystals. [4] Up to now, several methods have been developed to grow 2D colloidal crystals, including self-assembly by capillary force, [5] spincoating, [2a,6] electrophoretic deposition, [7] and LangmuirBlodgett deposition.[8] Among them, convective self-assembly induced by solvent evaporation has been shown to be an effective approach for self-organizing colloidal beads into 2D crystals with hexagonal close-packing geometry. [5] In a typical process, [5a] immersion capillary force at the suspension drying front tends to bring particles into contact when the liquid suspension thickness becomes comparable with the colloidal sphere diameter. Evaporation-induced flow brings more particles towards the suspension front and the crystal grows larger.A patterned substrate provides an effective way to control the packing symmetry and orientation of colloidal crystallizations, [9,10] which is quite important for further extending colloidal crystal applications. Several research groups have reported using a 2D-patterned substrate to drive the growth of colloidal crystals. [9,10a] Self-assembly in the presence of one-dimensional (1D) patterned substrates has also been studied in combination with thermal equilibrium assembly, [10a] convective assembly, [10b] electrostatic assembly, [10c] and electrophoretic deposition process.[10d] Although 2D centered-rectangular lattice colloidal crystals have been fabricated on a 1D-patterned substrate, high defect densities and short-range ordering were often observed in those previously reported results. [10a,10b,10d] To the best of our knowledge, an efficient method to prepare high-quality monolayer square-lattice colloidal crystals has not been reported yet.In this Communication, we report our study of self-assembly of colloidal polystyrene (PS) spheres on a 1D-patterned substrate. Previous studies showed that colloidal structures formed on a 1D-patterned substrate are highly sensitive to the ratio between sphere diameter (d) and groove period (p).[10a]Here, we explore other factors that could have a key influence on the formation of 2D square symmetric colloidal crystals using a 1D-patterned substrate. By introducing an experimental cell that allows simultaneous actions and strong competition of forces on colloids exerted by the suspension drying front and the patterned substrate, we have identified distinct effects of convective assembly on the growth of colloidal crystal by controlling the angle orientation (a) between the colloidal suspension drying front and 1D template grooves. We find that those experi...

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Refractive index dependence of the transmission properties for a photonic crystal array of dielectric spheres

Cited by 16 publications

References 24 publications

Non compact single-layers of dielectric spheres electromagnetc behaviour

Non compact single-layers of dielectric spheres electromagnetc behaviour

Photonic band effects in three dimensional lattices of macroscopic-sized dielectric spheres derived from microwave transmission spectroscopy

Fabrication and Light‐Transmission Properties of Monolayer Square Symmetric Colloidal Crystals via Controlled Convective Self‐assembly on 1D Grooves

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