A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials

DOI10.1016/j.jcp.2022.110961OpenAlexW4205837879WikidataQ115571326 ScholiaQ115571326MaRDI QIDQ2133564

David P. Nicholls

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.110961

zbMATH Keywords

layered mediahigh-order spectral methodshigh-order perturbation of surfaces methodslinear wave scatteringuniaxial hyperbolic materials

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx) Elliptic equations and elliptic systems (35Jxx)

Uses Software

• COMSOL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies
• A new integral representation for quasi-periodic scattering problems in two dimensions
• Joint analyticity and analytic continuation of Dirichlet-Neumann operators on doubly perturbed domains
• Analytic continuation of Dirichlet-Neumann operators
• Domain decomposition method for harmonic wave propagation: A general presentation
• Review of code and solution verification procedures for computational simulation
• A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings
• On analyticity of linear waves scattered by a layered medium
• An adaptive boundary element method for the transmission problem with hyperbolic metamaterials
• A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
• Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media
• A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions
• A new approach to analyticity of Dirichlet-Neumann operators
• Windowed Green Function Method for Layered-Media Scattering
• A PRIMER ON SURFACE PLASMON-POLARITONS IN GRAPHENE
• Spectral Methods
• High-Order Methods for Incompressible Fluid Flow
• 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
• Numerical Simulation of Grating Structures Incorporating Two-Dimensional Materials: A High-Order Perturbation of Surfaces Framework
• Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders—including Wood anomalies
• Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators
• On analyticity of scattered fields in layered structures with interfacial graphene
• Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space
• Inverse acoustic and electromagnetic scattering theory
• A fast algorithm for particle simulations

This page was built for publication: A high-order spectral algorithm for the numerical simulation of layered media with uniaxial hyperbolic materials