Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium

DOI10.1137/17M1112510zbMath1381.65096arXiv1610.03589OpenAlexW2531046642MaRDI QIDQ4602778

Jianliang Qian, Wangtao Lu, Ya Yan Lu

Publication date: 2 February 2018

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

Full work available at URL: https://arxiv.org/abs/1610.03589

zbMATH Keywords

numerical examplesradiation conditionsscattering problemNeumann-to-Dirichlet mapperfectly matched layerSommerfeld integralsboundary integral equation methods

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Waves and radiation in optics and electromagnetic theory (78A40) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface ⋮ Wave Scattering in Layered Orthotropic Media I: A Stable PML and a High-Accuracy Boundary Integral Equation Method ⋮ A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems ⋮ 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 ⋮ Time-Harmonic Acoustic Scattering from a Nonlocally Perturbed Trapezoidal Surface ⋮ Mathematical Analysis of Wave Radiation by a Step-Like Surface ⋮ The Complex-Scaled Half-Space Matching Method

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains
• Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies
• Efficient high order waveguide mode solvers based on boundary integral equations
• The complex image method
• A new hybrid integral representation for frequency domain scattering in layered media
• A Nyström method for boundary integral equations in domains with corners
• A perfectly matched layer for the absorption of electromagnetic waves
• 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
• Analysis of the PML equations in general convex geometry
• Windowed Green Function Method for Layered-Media Scattering
• A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
• On radiation conditions for rough surface scattering problems
• A Uniqueness Result for Scattering by Infinite Rough Surfaces
• Hybrid Gauss-Trapezoidal Quadrature Rules
• Spectral Methods in MATLAB
• Finite Element Methods for Maxwell's Equations
• Preface
• Scattering of Electromagnetic Waves From Rough Surfaces: A Boundary Integral Method for Low-Grazing Angles
• Theory of the reflection of the light from a point source by a finitely conducting flat mirror, with an application to radiotelegraphy
• Linear integral equations
• Inverse acoustic and electromagnetic scattering theory
• Algorithmic issues for electromagnetic scattering in layered media: Green's functions, current basis, and fast solver

This page was built for publication: Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium