BibTex format
@article{Davies:2022,
author = {Davies, B and Craster, RV},
journal = {Wave Motion},
pages = {1--16},
title = {Symmetry-induced quasicrystalline waveguides},
url = {http://arxiv.org/abs/2208.14906v1},
volume = {115},
year = {2022}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - JOUR
AB - Introducing an axis of reflectional symmetry in a quasicrystal leads to thecreation of localised edge modes that can be used to build waveguides. Wedevelop theory that characterises reflection-induced localised modes inmaterials that are formed by recursive tiling rules. This general theory treatsa one-dimensional continuous differential model and describes a broad class ofboth quasicrystalline and periodic materials. We present an analysis of amaterial based on the Fibonacci sequence, which has previously been shown tohave exotic, Cantor-like spectra with very wide spectral gaps. Our approachprovides a way to create localised edge modes at frequencies within thesespectral gaps, giving strong and stable wave localisation. We also use ourgeneral framework to make a comparison with reflection-induced modes inperiodic materials. These comparisons show that while quasicrystallinewaveguides enjoy enhanced robustness over periodic materials in certainsettings, the benefits are less clear if the decay rates are matched. Thisshows the need to carefully consider equivalent structures when makingrobustness comparisons and to draw conclusions on a case-by-case basis,depending on the specific application.
AU - Davies,B
AU - Craster,RV
EP - 16
PY - 2022///
SN - 0165-2125
SP - 1
TI - Symmetry-induced quasicrystalline waveguides
T2 - Wave Motion
UR - http://arxiv.org/abs/2208.14906v1
UR - https://www.sciencedirect.com/science/article/pii/S0165212522001147?via%3Dihub
UR - http://hdl.handle.net/10044/1/100222
VL - 115
ER -