Development and analysis of Crank‐Nicolson scheme for metamaterial Maxwell's equations on nonuniform rectangular grids

Development and analysis of Crank‐Nicolson scheme for metamaterial Maxwell's equations on nonuniform rectangular grids

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...

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Veröffentlicht in:Numerical methods for partial differential equations 2018-11, Vol.34 (6), p.2040-2059
Hauptverfasser: Wang, Xiang, Li, Jichun, Fang, Zhiwei
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Sprache:eng
Schlagworte:
backward wave propagation
Backward waves
Computer simulation
Crank-Nicholson method
finite‐difference time‐domain method
Mathematical analysis
Maxwell's equations
metamaterial
Metamaterials
nonuniform rectangular mesh
Wave propagation
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Li, Jichun
Fang, Zhiwei
description 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.
doi_str_mv 10.1002/num.22275
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subjects backward wave propagation
Backward waves
Computer simulation
Crank-Nicholson method
finite‐difference time‐domain method
Mathematical analysis
Maxwell's equations
metamaterial
Metamaterials
nonuniform rectangular mesh
Wave propagation
title Development and analysis of Crank‐Nicolson scheme for metamaterial Maxwell's equations on nonuniform rectangular grids
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