Asymptotic Modeling of Phononic Box Crystals

DOI10.1137/18M1209647zbMath1412.78009arXiv1808.08245OpenAlexW2888511245MaRDI QIDQ3119787

Ory Schnitzer, Alice L. Vanel, Richard V. Craster

Publication date: 13 March 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08245

zbMATH Keywords

Bloch wavesasymptotic analysisacoustic metamaterials

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (1)

Asymptotic modeling of Helmholtz resonators including thermoviscous effects

Uses Software

• FreeFem++

Cites Work

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• Asymptotics of dynamic lattice Green's functions
• Phononic crystals. Artificial crystals for sonic, acoustic, and elastic waves
• Acoustics of Fluid-Structure Interactions
• New development in freefem++
• Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points
• On the calculation of lattice sums

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