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

Kaliteevski, M.A.; Brand, S.; Abram, R.A.; Krauss, T.F.; de La Rue, R.M.; Millar, P.

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 find 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.

Citation

Kaliteevski, M., Brand, S., Abram, R., Krauss, T., de La Rue, R., & Millar, P. (2000). Two-dimensional Penrose-tiled photonic quasicrystals: diffraction of light and fractal density of modes. Journal of Modern Optics, 47(11), 1771-1778. https://doi.org/10.1080/09500340008232430

• Journal Article Type: Article
• Publication Date: Sep 1, 2000
• Deposit Date: Dec 16, 2010
• Journal: Journal of Modern Optics
• Print ISSN: 0950-0340
• Electronic ISSN: 1362-3044
• Publisher: Taylor and Francis Group
• Peer Reviewed: Peer Reviewed
• Volume: 47
• Issue: 11
• Pages: 1771-1778
• DOI: https://doi.org/10.1080/09500340008232430
• Public URL: https://durham-repository.worktribe.com/output/1619855