Unconditionally Stable Bilinear Transformation FDTD Algorithm for Modeling Double-Negative Meta-material Electromagnetic Problems

Accurate and unconditionally stable finite difference time domain (FDTD) algorithm is presented for modeling electromagnetic wave propagation in double-negative (DNG) meta-material domains. The proposed algorithm is based on incorporating the Bilinear transformation technique into the FDTD implement...

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Bibliographic Details
Published in:Journal of Infrared, Millimeter, and Terahertz Waves Millimeter, and Terahertz Waves, 2010-03, Vol.31 (3), p.288-301
Main Author: Ramadan, Omar Salameh
Format: Article
Language:English
Subjects:
Algorithms
Classical Electrodynamics
Electrical Engineering
Electromagnetic radiation
Electronics and Microelectronics
Engineering
Finite difference time domain method
Instrumentation
Metamaterials
Stability
Transformations (mathematics)
Two dimensional models
Wave propagation
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Summary:Accurate and unconditionally stable finite difference time domain (FDTD) algorithm is presented for modeling electromagnetic wave propagation in double-negative (DNG) meta-material domains. The proposed algorithm is based on incorporating the Bilinear transformation technique into the FDTD implementations of Maxwell’s equations. The stability of the proposed approach is studied by combining the von Neumann method with the Routh-Huwitz criterion and it has been observed that the proposed algorithm is free from the Courant-Friedrichs-Lewy (CFL) stability limit of the conventional FDTD scheme. Furthermore, the proposed algorithm is incorporated with the split-step FDTD scheme to model two-dimensional problems. Numerical examples carried out in one and two dimensional domains are included to show the validity of the proposed algorithm.
ISSN:1866-6892
1572-9559
1866-6906
DOI:10.1007/s10762-009-9585-4