Title

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


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