On the three-dimensional wave propagation through cascading screens having a periodic system of arbitrary openings

DOI10.1016/j.ijengsci.2007.10.004zbMath1213.35387OpenAlexW2087947646MaRDI QIDQ540939

Scarpetta, Edoardo, Vincenzo Tibullo

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2007.10.004

zbMATH Keywords

scatteringthree-dimensional structuressemi-periodic gratingwave properties

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Three-dimensional one-mode penetration of elastic waves through a doubly periodic array of cracks ⋮ Spatial problem of elastic wave penetration across two parallel double periodic arrays of cracks ⋮ Wave propagation through scattering structures made by cascading screens of finite thickness ⋮ The BIE Method in the Problem of Wave Propagation Through an Infinite Doubly-Periodic Array of Elliptic Obstacles

Cites Work

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• Scattering matrix analysis of a photonic Fabry --- Perot resonator
• Explicit results for scattering parameters in three-dimensional wave propagation through a doubly periodic system of arbitrary openings
• A fast method for solving a class of tridiagonal linear systems
• The wide-spacing approximation applied to multiple scattering and sloshing problems
• Lyapunov exponents and localization phenomena in multi-coupled nearly periodic systems
• Water-wave propagation through an infinite array of cylindrical structures
• Wave properties of some periodic structures

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