Mathematical theory for supercell approximations of fibonacci quasicrystals

Davies, B. and Morini, L. ORCID: https://orcid.org/0000-0001-7155-5036 2023. Mathematical theory for supercell approximations of fibonacci quasicrystals. Presented at: International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS), Chania, Greece, 11-16 September 2023. Proceedings of Seventeenth International Congress on Artificial Materials for Novel Wave Phenomena. IEEE, 087-089. 10.1109/Metamaterials58257.2023.10289207

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Abstract

We present mathematical theory showing that supercell approximations accurately predict the main spectral gaps of Fibonacci quasicrystals. This theory is based on characterising the growth of the underlying recursion relation and corroborates the existence of previously observed “super band gaps”. We demonstrate our general theory through application to a one-dimensional metamaterial, composed of a system of structured rods.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	IEEE
ISBN:	9798350332452
ISSN:	2573-2684
Last Modified:	12 Dec 2023 12:00
URI:	https://orca.cardiff.ac.uk/id/eprint/164688

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