Photonic band structure of bcc colloidal crystals

Pradhan, Ranjit D.; Bloodgood, John A.; Watson, George H.

doi:10.1103/physrevb.55.9503

Cited by 60 publications

(40 citation statements)

References 13 publications

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“…In all cases, except of course for the dilute crystal [22], fitting a power law dependence ℓ ∝ ω −x to each data set shows that extinction does not increase according to Rayleigh's law. Indeed, Table I shows that we find exponents x < 4 in reasonable correspondence to the exponents predicted by our model in the same frequency windows.…”

Section: (B)mentioning

confidence: 87%

Optical extinction due to intrinsic structural variations of photonic crystals

2005

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Unavoidable variations in size and position of the building blocks of photonic crystals cause light scattering and extinction of coherent beams. We present a new model for both 2 and 3-dimensional photonic crystals that relates the extinction length to the magnitude of the variations.The predicted lengths agree well with our new experiments on high-quality opals and inverse opals, and with literature data analyzed by us. As a result, control over photons is limited to distances up to 50 lattice parameters (∼ 15 µm) in state-of-the-art structures, thereby impeding large-scale applications such as integrated circuits. Conversely, scattering in photonic crystals may lead to novel physics such as Anderson localization and non-classical diffusion.

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Section: (B)mentioning

confidence: 87%

Optical extinction due to intrinsic structural variations of photonic crystals

2005

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“…[12][13][14][15] Another technique that has been extensively studied to grow a 3D photonic crystal in the optical frequency is through the selfarrangement of colloid. Many self-assembling photonic crystals exist, including colloidal systems 16,17 and artificial opals. [18][19][20] This is rather a chemical method.…”

Section: Introductionmentioning

confidence: 99%

Disordered photonic crystals understood by a perturbation formalism

Zhang

2000

Phys. Rev. B

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Photonic band gaps in disordered two-dimensional photonic crystals are investigated for two typical types of randomness: cylinder site displacements ͑site randomness͒ and cylinder radius variations ͑size randomness͒. The plane-wave expansion method with a supercell technique is applied to calculate the density-of-states ͑DOS͒ for the disordered photonic crystals. In particular, numerical simulations on the DOS for square and triangular lattices of dielectric cylinders in air with the E-polarization mode show that photonic band gaps are far more sensitive to disorders with a size randomness than with a site randomness. The first and second band gaps both reduce very little even for a site randomness of a strength as large as half the cylinder radius, yet they reduce more than one-half for a size randomness of a strength about one-third the cylinder radius. This substantial contrast can be understood by the analysis of the electromagnetic fields in disordered crystals. Based on such a field analysis, a perturbation formalism is proposed for disordered crystals and it accords well with the DOS calculations for a site randomness of even a moderate strength. At very weak size randomness, the perturbation method also works well to some extent. Such a simple perturbative analysis should provide a systematic way to understand various disordered photonic crystals qualitatively and even semiquantitatively.

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“…Many efforts have been made to push the bandgap wavelength into the optical range by means of state-of-the-art micro-lithography techniques; however, it still remains a difficult and challenging task. [4±6] Another route that is in rapid progress is the self-arrangement of colloid crystals, [7,8] related artificial opals, [9,10] and inverse-opal techniques. [11±16] Among them, the inverse-opal technique has become an attractive candidate in the fabrication of optical photonic crystals.…”

Section: Introductionmentioning

confidence: 99%

Photonic Bandgaps in Disordered Inverse-Opal Photonic Crystals

Zhang

2001

Adv. Mater.

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Three‐dimensional photonic crystals with full bandgaps at optical wavelengths can be fabricated with inverse‐opal techniques. We have shown that the bandgap is extremely sensitive to the presence of geometric disorder in the crystals (see Figure). The bandgap closes completely with a disorder strength as small as under two percent of the lattice constant. This fragility persists even at very high refractive index contrasts and is attributed to the creation of a bandgap at high frequency bands (8–9 bands) in inverse‐opal crystals. This should impose severe demand on the quality of lattice uniformity.

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Photonic band structure of bcc colloidal crystals

Cited by 60 publications

References 13 publications

Optical extinction due to intrinsic structural variations of photonic crystals

Optical extinction due to intrinsic structural variations of photonic crystals

Disordered photonic crystals understood by a perturbation formalism

Photonic Bandgaps in Disordered Inverse-Opal Photonic Crystals

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