Development and Analysis of Crank‐Nicolson Scheme for Metamaterial Maxwell's Equations on Nonuniform Rectangular Grids
Document Type
Article
Publication Date
4-26-2018
Publication Title
Numerical Methods for Partial Differential Equations
Volume
34
Issue
6
First page number:
2040
Last page number:
2059
Abstract
In this paper, we develop a fully implicit scheme on staggered grids to solve the Maxwell's equations when Drude metamaterial is involved. Unconditional stability and optimal error estimate of the scheme are proved. Numerical results are provided to support the theoretical analysis, and used to demonstrate the applicability of the scheme to simulate the complicated backward wave propagation phenomenon occurring in metamaterials.
Keywords
Backward wave propagation; Finite-difference time-domain method; Maxwell's equations; Metamaterial; Nonuniform rectangular mesh
Disciplines
Applied Mathematics
Language
English
Repository Citation
Wang, X.,
Li, J.,
Fang, Z.
(2018).
Development and Analysis of Crank‐Nicolson Scheme for Metamaterial Maxwell's Equations on Nonuniform Rectangular Grids.
Numerical Methods for Partial Differential Equations, 34(6),
2040-2059.
http://dx.doi.org/10.1002/num.22275