On the evaluation of quasi-periodic Green functions and wave-scattering at and around Rayleigh-Wood anomalies

DOI10.1016/j.jcp.2020.109352zbMath1436.65203OpenAlexW3009654219MaRDI QIDQ777529

Oscar P. Bruno, Agustin G. Fernandez-Lado

Publication date: 7 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/101662/

zbMATH Keywords

integral equationsdiffraction gratingsquasi-periodic Green functionperiodic scattering problemsRayleigh-Wood anomalies

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Scattering theory for PDEs (35P25) Hydro- and aero-acoustics (76Q05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (3)

Windowed Green function method for wave scattering by periodic arrays of 2D obstacles ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation ⋮ Shape optimization for the strong routing of light in periodic diffraction gratings

Uses Software

• DLMF
• VisIt

Cites Work

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• A fast summation method for oscillatory lattice sums
• Lattice Sums for the Helmholtz Equation
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• On the calculation of lattice sums
• Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space
• Guided Surface Waves on One- and Two-Dimensional Arrays of Spheres
• Integral Equation Methods in Scattering Theory

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