Application of the symplectic finite-difference time-domain scheme to electromagnetic simulation

Authors:
Wei Sha;Zhixiang Huang;Xianliang Wu;Mingsheng Chen
Affiliations:
Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, China;Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, China;Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, China;Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, China
Venue:
Journal of Computational Physics
Year:
2007

Citing 13
Cited 4

A perfectly matched layer for the absorption of electromagnetic waves

Journal of Computational Physics
Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems

SIAM Journal on Numerical Analysis
Three-dimensional perfectly matched layer for the absorption of electromagnetic waves

Journal of Computational Physics
Sympletic Runge--Kutta Shemes I: Order Conditions

SIAM Journal on Numerical Analysis
High-order compact-difference schemes for time-dependent Maxwell equations

Journal of Computational Physics
Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations

Journal of Computational Physics
A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations

Journal of Computational Physics
A Vector Finite Element Time-Domain Method for Solving Maxwell's Equations on Unstructured Hexahedral Grids

SIAM Journal on Scientific Computing
A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes

SIAM Journal on Numerical Analysis
Nodal high-order methods on unstructured grids

Journal of Computational Physics
An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations

Journal of Computational and Applied Mathematics
High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces

Journal of Computational Physics
On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations

Applied Mathematics and Computation

A discrete action principle for electrodynamics and the construction of explicit symplectic integrators for linear, non-dispersive media

Journal of Computational Physics
Splitting multisymplectic integrators for Maxwell's equations

Journal of Computational Physics
A second-order 3D electromagnetics algorithm for curved interfaces between anisotropic dielectrics on a Yee mesh

Journal of Computational Physics
Symplectic partitioned Runge-Kutta methods for two-dimensional numerical model of ground penetrating radar

Computers & Geosciences

Quantified Score

Hi-index	31.46

Visualization

Abstract

An explicit fourth-order finite-difference time-domain (FDTD) scheme using the symplectic integrator is applied to electromagnetic simulation. A feasible numerical implementation of the symplectic FDTD (SFDTD) scheme is specified. In particular, new strategies for the air-dielectric interface treatment and the near-to-far-field (NFF) transformation are presented. By using the SFDTD scheme, both the radiation and the scattering of three-dimensional objects are computed. Furthermore, the energy-conserving characteristic hold for the SFDTD scheme is verified under long-term simulation. Numerical results suggest that the SFDTD scheme is more efficient than the traditional FDTD method and other high-order methods, and can save computational resources.