Diffraction on the Two-Dimensional Square Lattice

DOI10.1137/080735345zbMath1200.78007OpenAlexW2151302212MaRDI QIDQ3053162

Braxton Osting, Harish S. Bhat

Publication date: 4 November 2010

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

Full work available at URL: https://doi.org/10.1137/080735345

zbMATH Keywords

diffractionmetamaterialsdiscrete wave equationlattice Green's functionshigh-frequency analog circuitsinductor-capacitor lattices

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial difference equations (39A14) Applications of difference equations (39A60)

Related Items (8)

Half-plane diffraction problems on a triangular lattice ⋮ Diffraction of waves on square lattice by semi-infinite rigid constraint ⋮ Near-tip field for diffraction on square lattice by rigid constraint ⋮ A Boundary Algebraic Formulation for Plane Strain Elastodynamic Scattering ⋮ Diffraction problems for two-dimensional lattice waves in a quadrant ⋮ Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions ⋮ Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations ⋮ Diffraction of Waves on Square Lattice by Semi-Infinite Crack

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