Asymptotic approximations for Bloch waves and topological mode steering in a planar array of Neumann scatterers

25 Sep 2020 Wiltshaw Richard Craster Richard V. Makwana Mehul P.

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... (read more)

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