A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model

DOI10.1016/j.jcp.2018.11.021zbMath1416.78031OpenAlexW2900612540WikidataQ128878891 ScholiaQ128878891MaRDI QIDQ2314324

Gregor Kovačič, Michael J. Jenkinson, William D. Henshaw, Jordan B. Angel, Ludmila J. Prokopeva, Alexander V. Kildishev, Jeffrey W. Banks, Donald W. Schwendeman

Publication date: 22 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.11.021

zbMATH Keywords

electromagneticscomposite overlapping gridsdispersive FDTDgeneralized dispersive material model

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (11)

Error-optimized finite-difference modeling of wave propagation problems with Lorentz material dispersion ⋮ High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces ⋮ Energy analysis and discretization of the time-domain equivalent fluid model for wave propagation in rigid porous media ⋮ Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs ⋮ Analysis and application of a spatial fourth-order finite difference scheme for the Ziolkowski's PML model ⋮ Efficient Upwind Finite-Difference Schemes for Wave Equations on Overset Grids ⋮ Fractional-step finite difference schemes for incompressible elasticity on overset grids ⋮ Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials ⋮ A finite-difference time-domain method for Lorentz dispersive media with reduced errors within arbitrary frequency bands ⋮ Gaussian dispersion analysis in the time domain: efficient conversion with Padé approximants ⋮ A high-order accurate scheme for Maxwell's equations with a generalized dispersive material (GDM) model and material interfaces

Uses Software

• Ogen
• CMPGRD

Cites Work

• Unnamed Item
• Unnamed Item
• Upwind schemes for the wave equation in second-order form
• Numerical methods for solid mechanics on overlapping grids: linear elasticity
• Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
• Composite overlapping meshes for the solution of partial differential equations
• Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model
• Mixed finite elements in \(\mathbb{R}^3\)
• A projection method for generalized eigenvalue problems using numerical integration.
• High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form
• High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions
• A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures
• Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
• A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach
• Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media
• A Discontinuous Galerkin Finite Element Time-Domain Method Modeling of Dispersive Media

This page was built for publication: A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model