Review of the formulation and applications of the finite-difference time- domain method for numerical modeling of electromagnetic wave interactions with arbitrary structures

DOI10.1016/0165-2125(88)90012-1zbMath0672.73028OpenAlexW2025136340MaRDI QIDQ1120336

Allen Taflove

Publication date: 1988

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(88)90012-1

zbMATH Keywords

Maxwell's equationsreview

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Wave scattering in solid mechanics (74J20) Waves and radiation in optics and electromagnetic theory (78A40) Waves in solid mechanics (74J99)

Related Items

Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary, Optimal, globally constraint-preserving, \(\mathrm{DG(TD)}^2\) schemes for computational electrodynamics based on two-derivative Runge-Kutta timestepping and multidimensional generalized Riemann problem solvers -- a von Neumann stability analysis, Unnamed Item, A perfectly matched layer for the absorption of electromagnetic waves, Evaluation of the perfectly matched layer for computational acoustics, Multidimensional generalized Riemann problem solver for Maxwell's equations, Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution. I: Second-order FVTD schemes., Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution. II: Higher order FVTD schemes, A time-domain method to solve transient elastic wave propagation in a multilayer medium with a hybrid spectral-finite element space approximation, AN ACOUSTIC FINITE-DIFFERENCE TIME-DOMAIN ALGORITHM WITH ISOTROPIC DISPERSION, Von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers, Finite difference method to solve Maxwell's equations for soliton propagation

Uses Software

• THREDE

Cites Work

• A comparative study of absorbing boundary conditions
• Exploiting the limiting amplitude principle to numerically solve scattering problems
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions