Two-dimensional Penrose-tiled photonic quasicrystals: from diffraction pattern to band structure

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

doi:10.1088/0957-4484/11/4/316

Two-dimensional Penrose-tiled photonic quasicrystals: from diffraction pattern to band structure

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

Authors

MA Kaliteevski

S Brand

RA Abram

TF Krauss

R DeLa Rue

P Millar

Abstract

We report measurements of the diffraction pattern of a two-dimensional photonic quasicrystal structure and use the set of plane waves defined by the diffraction pattern as the basis of a theoretical approach to calculate the photonic band structure of the system. An important feature of the model is that it retains the essence of the rotational and inflational properties of the quasicrystal at all levels of approximation: properties lost in approximate models which artificially introduce elements of periodicity. The calculated density of modes of the quasicrystals is found to display a weakly depleted region analogous to the bandgap that occurs in a periodic system. The calculated transmission spectra for different polarizations and directions of propagation show features that correlate with the behaviour of the density of modes.

Citation

Kaliteevski, M., Brand, S., Abram, R., Krauss, T., DeLa Rue, R., & Millar, P. (2000). Two-dimensional Penrose-tiled photonic quasicrystals: from diffraction pattern to band structure. Nanotechnology, 11(4), 274-280. https://doi.org/10.1088/0957-4484/11/4/316

Journal Article Type	Article
Publication Date	Dec 1, 2000
Deposit Date	Dec 16, 2010
Journal	Nanotechnology
Print ISSN	0957-4484
Electronic ISSN	1361-6528
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	11
Issue	4
Pages	274-280
DOI	https://doi.org/10.1088/0957-4484/11/4/316