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

DOI10.1016/j.wavemoti.2020.102662OpenAlexW3089620324MaRDI QIDQ2659706

M. Makwana, Richard Wiltshaw, Richard V. Craster

Publication date: 26 March 2021

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10876

zbMATH Keywords

singular perturbationsperiodic mediaphotonic crystalphononic crystal

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Optics, electromagnetic theory (78-XX)

Related Items (1)

Dispersion of waves in two and three-dimensional periodic media

Uses Software

• FreeFem++
• COMSOL

Cites Work

• Penetration of flexural waves through a periodically constrained thin elastic plate in vacuo and floating on water
• Approximations to wave propagation through a lattice of Dirichlet scatterers
• Lattice Sums for the Helmholtz Equation
• The interaction of waves with arrays of vertical circular cylinders
• Approximations to wave propagation through doubly-periodic arrays of scatterers
• Bloch Waves in an Arbitrary Two-Dimensional Lattice of Subwavelength Dirichlet Scatterers
• Elastic waves and homogenization in oblique periodic structures
• Semi-Infinite Arrays of Isotropic Point Scatterers. A Unified Approach
• New development in freefem++
• Honeycomb lattice potentials and Dirac points
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
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