Localised point defect states in asymptotic models of discrete lattices
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Publication:5169341
DOI10.1093/qjmam/hbt005zbMath1291.70052OpenAlexW2027577629MaRDI QIDQ5169341
M. Makwana, Richard V. Craster
Publication date: 22 July 2014
Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qjmam/hbt005
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Application of matrix-valued integral continued fractions to spectral problems on periodic graphs with defects ⋮ Wave Mechanics in Media Pinned at Bravais Lattice Points ⋮ Explicit formula for amplitudes of waves in lattices with defects and sources and its application for defects detection ⋮ Asymptotics of dynamic lattice Green's functions ⋮ Diffraction of waves on square lattice by semi-infinite rigid constraint ⋮ Near-tip field for diffraction on square lattice by rigid constraint ⋮ Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models ⋮ Discrete Sommerfeld diffraction problems on hexagonal lattice with a zigzag semi-infinite crack and rigid constraint ⋮ Wave propagation through periodic lattice with defects ⋮ Matrix representations of multidimensional integral and ergodic operators ⋮ Diffraction of Waves on Square Lattice by Semi-Infinite Crack ⋮ Algebra of multidimensional periodic operators with defects
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