Windowed Green Function Method for Layered-Media Scattering

DOI10.1137/15M1033782zbMath1356.78071arXiv1507.04445OpenAlexW2224779109MaRDI QIDQ2821712

Catalin Turc, Mark Lyon, Carlos Pérez-Arancibia, Oscar P. Bruno

Publication date: 23 September 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04445

zbMATH Keywords

window functionSommerfeld integralsapodization functionHann functionlayer Green functionlayered-media scatteringtapering function

Mathematics Subject Classification ID

Related Items (19)

A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches ⋮ Small collaboration: Numerical analysis of electromagnetic problems. Abstracts from the mini-workshop held March 21--27, 2021 (hybrid meeting) ⋮ A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials ⋮ Stable, high-order computation of impedance–impedance operators for three-dimensional layered medium simulations ⋮ Windowed Green function method for the Helmholtz equation in the presence of multiply layered media ⋮ Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers ⋮ Windowed Green function method for wave scattering by periodic arrays of 2D obstacles ⋮ A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media ⋮ A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems ⋮ Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium ⋮ Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media ⋮ A Numerical Mode Matching Method for Wave Scattering in a Layered Medium with a Stratified Inhomogeneity ⋮ Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces ⋮ Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies ⋮ A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings ⋮ A windowed Green function method for elastic scattering problems on a half-space ⋮ A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\) ⋮ A nonlinear least squares framework for periodic grating identification with a high-order perturbation of surfaces implementation ⋮ Time-Harmonic Acoustic Scattering from a Nonlocally Perturbed Trapezoidal Surface

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies
• Asymptotic analysis of numerical steepest descent with path approximations
• Scattering in flatland: Efficient representations via wave atoms
• A Nyström method for boundary integral equations in domains with corners
• On the efficient representation of the half-space impedance Green's function for the Helmholtz equation
• On the stability and convergence of the finite section method for integral equation formulations of rough surface scattering
• Efficient Evaluation of Sommerfeld Integrals for Tm Wave Scattering By Buried Objects
• Acoustic scattering by penetrable homogeneous objects
• Exact image theory for the Sommerfeld half-space problem, part I: Vertical magnetic dipole
• Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case
• Scattering of Electromagnetic Waves From Rough Surfaces: A Boundary Integral Method for Low-Grazing Angles
• Inverse acoustic and electromagnetic scattering theory
• Fast calculations of dyadic Green's functions for electromagnetic scattering in a multilayered medium.
• Algorithmic issues for electromagnetic scattering in layered media: Green's functions, current basis, and fast solver

This page was built for publication: Windowed Green Function Method for Layered-Media Scattering