Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media

DOI10.1137/16M110900XzbMath1387.78012OpenAlexW2787293199MaRDI QIDQ4603497

Min-Hyung Cho, Duan Chen, Wei Cai

Publication date: 21 February 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m110900x

zbMATH Keywords

Cauchy principal valueelectromagnetic scatteringmetamaterialsvolume integral equationlayered Green's function

Mathematics Subject Classification ID

Related Items (10)

A Matrix Basis Formulation for the Dyadic Green’s Functions of Maxwell’s Equations in Layered Media ⋮ Adapting free-space fast multipole method for layered media Green's function: algorithm and analysis ⋮ Diffraction of an electromagnetic wave by a dielectric layer possessing a partially screened outer surface ⋮ Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers ⋮ A hybrid stochastic interpolation and compression method for kernel matrices ⋮ Exponential Convergence Theory of the Multipole and Local Expansions for the 3-D Laplace Equation in Layered Media ⋮ Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media ⋮ An \(O(N \log N)\) hierarchical random compression method for kernel matrices by sampling partial matrix entries ⋮ Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media ⋮ A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\)

Uses Software

• LAPACK
• PETSc

Cites Work

• Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell's equations solvers
• A new integral representation for quasi-periodic scattering problems in two dimensions
• Accurate and efficient Nyström volume integral equation method for the Maxwell equations for multiple 3-D scatterers
• Efficient and accurate computation of electric field dyadic Green's function in layered media
• Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions
• The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems inL²
• LAPACK Users' Guide
• Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders—including Wood anomalies
• Finite Element Methods for Maxwell's Equations
• Preface
• Sparsifying Preconditioner for the Lippmann--Schwinger Equation
• Nyström Method Solution of Volume Integral Equations for Electromagnetic Scattering by 3D Penetrable Objects
• Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
• Quadrature Weights on Tensor-Product Nodes for Accurate Integration of Hypersingular Functions over Some Simple 3-D Geometric Shapes

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