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Journal of Scientific Computing
Published in: Journal of Scientific Computing 2/2016

03-05-2016

Symmetric Energy-Conserved S-FDTD Scheme for Two-Dimensional Maxwell’s Equations in Negative Index Metamaterials

Authors: Wanshan Li, Dong Liang

Published in: Journal of Scientific Computing | Issue 2/2016

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Abstract

A new time second-order symmetric energy-conserved splitting FDTD scheme is proposed for solving the two-dimensional Maxwell’s equations in negative index metamaterials with Drude model. The scheme is proved to preserve the discrete electromagnetic energies in metamaterials and is of second order accuracy both in time and space. The proposed scheme also possesses the superconvergence and the second-order convergence for the discrete divergence. Numerical experiments confirm the theoretical results. Simulations of CW Gaussian beam interactions with double negative matematerials slabs and the electromagnetic waves propagating in metamaterials excited by sinusoidal point source are carried out to show supernormal phenomena in negative index metamaterials.
previous article The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel
next article Krylov Integration Factor Method on Sparse Grids for High Spatial Dimension Convection–Diffusion Equations

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Metadata
Title
Symmetric Energy-Conserved S-FDTD Scheme for Two-Dimensional Maxwell’s Equations in Negative Index Metamaterials
Authors
Wanshan Li
Dong Liang
Publication date
03-05-2016
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 2/2016
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-016-0214-9

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