Two-dimensional Penrose-tiled photonic quasicrystals: diffraction of light and fractal density of modes

MA Kaliteevski; S Brand; RA Abram; Thomas Fraser Krauss; RM De La Rue; P Millar

Two-dimensional Penrose-tiled photonic quasicrystals: diffraction of light and fractal density of modes

MA Kaliteevski, S Brand, RA Abram, Thomas Fraser Krauss, RM De La Rue, P Millar

Research output: Contribution to journal › Article › peer-review

Abstract

We report measurements of the diffraction pattern of a two-dimensional photonic quasicrystal structure. Using a set of plane waves defined by the diffraction pattern we introduce a theoretical approach for the calculation of the band structure which captures the rotational and inflational properties of the quasicrystal. Based on this model we rnd that the density of modes of the quasicrystal displays a fractal character and a depleted region analogous to the band gap in a periodic system.

Original language	English
Pages (from-to)	1771-1778
Number of pages	8
Journal	Journal of Modern Optics
Volume	47
Issue number	11
Publication status	Published - Sept 2000

Keywords

QUASI-CRYSTALS
SYMMETRY
PHASE

Cite this

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abstract = "We report measurements of the diffraction pattern of a two-dimensional photonic quasicrystal structure. Using a set of plane waves defined by the diffraction pattern we introduce a theoretical approach for the calculation of the band structure which captures the rotational and inflational properties of the quasicrystal. Based on this model we rnd that the density of modes of the quasicrystal displays a fractal character and a depleted region analogous to the band gap in a periodic system.",

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author = "MA Kaliteevski and S Brand and RA Abram and Krauss, {Thomas Fraser} and {De La Rue}, RM and P Millar",

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AU - Kaliteevski, MA

AU - Brand, S

AU - Abram, RA

AU - Krauss, Thomas Fraser

AU - De La Rue, RM

AU - Millar, P

PY - 2000/9

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N2 - We report measurements of the diffraction pattern of a two-dimensional photonic quasicrystal structure. Using a set of plane waves defined by the diffraction pattern we introduce a theoretical approach for the calculation of the band structure which captures the rotational and inflational properties of the quasicrystal. Based on this model we rnd that the density of modes of the quasicrystal displays a fractal character and a depleted region analogous to the band gap in a periodic system.

AB - We report measurements of the diffraction pattern of a two-dimensional photonic quasicrystal structure. Using a set of plane waves defined by the diffraction pattern we introduce a theoretical approach for the calculation of the band structure which captures the rotational and inflational properties of the quasicrystal. Based on this model we rnd that the density of modes of the quasicrystal displays a fractal character and a depleted region analogous to the band gap in a periodic system.

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KW - SYMMETRY

KW - PHASE

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M3 - Article

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ER -

Two-dimensional Penrose-tiled photonic quasicrystals: diffraction of light and fractal density of modes

Abstract

Keywords

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