Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann maps

DOI10.1088/0031-8949/84/05/055402zbMath1264.82143OpenAlexW1971653092MaRDI QIDQ4912078

Chuan-Zeng Zhang, Feng-Lian Li, Yue-Sheng Wang

Publication date: 21 March 2013

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/84/05/055402

zbMATH Keywords

linear eigenvalue problemDirichlet-to-Neumann mapphononic crystalsBloch wavebandgap calculation

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Quantum optics (81V80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (12)

A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals ⋮ Application of the generalized multipole technique in band structure calculation of two‐dimensional solid/fluid phononic crystals ⋮ Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method ⋮ Singular boundary method for band structure calculations of in-plane waves in 2D phononic crystals ⋮ Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map ⋮ Band structures analysis of fluid–solid phononic crystals using wavelet‐based boundary element method and frequency‐independent fundamental solutions ⋮ Simulation of the band structure for scalar waves in 2D phononic crystals by the singular boundary method ⋮ Mathematical modeling and analysis of a meta-plate for very low-frequency band gap ⋮ A local radial basis function collocation method for band structure computation of 3D phononic crystals ⋮ Bandgap calculations of two-dimensional solid-fluid phononic crystals with the boundary element method ⋮ A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry ⋮ An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals

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