All-angle-negative-refraction and ultra-refraction for liquid surface waves in 2D phononic crystals

DOI10.1016/j.cam.2009.08.052zbMath1407.78022OpenAlexW1988288760WikidataQ60718526 ScholiaQ60718526MaRDI QIDQ975707

Stefan Enoch, Sébastien Guenneau, Mohamed Farhat, Alexander B. Movchan

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.052

zbMATH Keywords

periodic structuresnegative refractionBloch spectrumlinear water wavesultra-refraction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

Negative refraction of water waves by hyperbolic metamaterials ⋮ Rainbow reflection and broadband energy absorption of water waves by graded arrays of vertical barriers ⋮ A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals ⋮ An extended linear shallow-water equation

Cites Work

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• Noncommuting Limits in Electromagnetic Scattering: Asymptotic Analysis for an Array of Highly Conducting Inclusions
• Oblique propagation of electromagnetic and elastic waves for an array of cylindrical fibres
• Source-neutral Green'functions for periodic problems in electrostatics, and their equivalents in electromagnetism
• Water-wave propagation through an infinite array of cylindrical structures
• Linear Water Waves

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