In this section
@article{Wiltshaw:2020:10.1016/j.wavemoti.2020.102662,
author = {Wiltshaw, R and Craster, R and Makwana, M},
doi = {10.1016/j.wavemoti.2020.102662},
journal = {Wave Motion},
title = {Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers},
url = {http://dx.doi.org/10.1016/j.wavemoti.2020.102662},
volume = {99},
year = {2020}
}
TY - JOUR
AB - We study the canonical problem of wave scattering by periodic arrays, either of infinite or finite extent, of Neumann scatterers in the plane; the characteristic lengthscale of the scatterers is considered small relative to the lattice period. We utilise the method of matched asymptotic expansions, together with Fourier series representations, to create an efficient and accurate numerical approach for finding the dispersion curves associated with Floquet-Bloch waves through an infinite array of scatterers. The approach also lends itself to direct scattering problems for finite arrays and we illustrate the flexibility of these asymptotic representations on some topical examples from topological wave physics.
AU - Wiltshaw,R
AU - Craster,R
AU - Makwana,M
DO - 10.1016/j.wavemoti.2020.102662
PY - 2020///
SN - 0165-2125
TI - Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers
T2 - Wave Motion
UR - http://dx.doi.org/10.1016/j.wavemoti.2020.102662
UR - http://hdl.handle.net/10044/1/83893
VL - 99
ER -