Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 34, Issue 6, Pages 2040-2059Publisher
WILEY
DOI: 10.1002/num.22275
Keywords
backward wave propagation; finite-difference time-domain method; Maxwell's equations; metamaterial; nonuniform rectangular mesh
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Funding
- NNSF of China [11461046]
- NSF of Jiangxi Province [20161ACB21005]
- NSF grant [DMS-1416742]
- NSFC [11671340]
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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.
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