Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals

Kaliteevski, MA; Brand, S; Abram, RA; Krauss, TF; Millar, P; DeLa Rue, RM

Abstract

We report the measurements of the diffraction pattern of a two-dimensional Penrose-tiled photonic quasicrystal, obtained by etching air cylinders in a silica substrate, and the modelling of the light propagation and dispersion relations of photons inside such a structure. The calculated transmission spectra exhibit dips whose positions are insensitive to the direction of propagation and whose depth increases with increasing structure length. An approach is developed for the calculation of the dispersion relations which is based on a set of reciprocal vectors defined by the diffraction pattern. The dispersion curves exhibit gap-like features at frequencies corresponding to the dips in the transmission spectra.

Citation

Kaliteevski, M., Brand, S., Abram, R., Krauss, T., Millar, P., & DeLa Rue, R. (2001). Diffraction and transmission of light in low-refractive index Penrose-tiled photonic quasicrystals. Journal of Physics: Condensed Matter, 13(46), 10459-10470. https://doi.org/10.1088/0953-8984/13/46/314

• Journal Article Type: Article
• Publication Date: Nov 19, 2001
• Deposit Date: Dec 16, 2010
• Journal: Journal of Physics: Condensed Matter
• Print ISSN: 0953-8984
• Electronic ISSN: 1361-648X
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 13
• Issue: 46
• Pages: 10459-10470
• DOI: https://doi.org/10.1088/0953-8984/13/46/314
• Public URL: https://durham-repository.worktribe.com/output/1619893