Matrix Exponential FDTD Modeling of Magnetized Graphene Sheet

Matrix Exponential FDTD Modeling of Magnetized Graphene Sheet

A novel finite-difference time-domain (FDTD) method is developed for modeling two-dimensional graphene sheet biased with a magnetostatic field. With the use of Dirac Delta function, the graphene sheet is modeled as a polarization current source characterized by an auxiliary equation (AE). Laplace tr...

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Veröffentlicht in:IEEE antennas and wireless propagation letters 2013, Vol.12, p.1129-1132
Hauptverfasser: Wang, Xiang-Hua, Yin, Wen-Yan, Chen, Zhizhang
Format: Artikel
Sprache:eng
Schlagworte:
Auxiliary equation (AE)
Finite difference methods
finite-difference time-domain (FDTD) method
Graphene
Laplace transform
Magnetostatic waves
Magnetostatics
Mathematical model
matrix exponential (ME) method
Numerical models
Time-domain analysis
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Zusammenfassung:A novel finite-difference time-domain (FDTD) method is developed for modeling two-dimensional graphene sheet biased with a magnetostatic field. With the use of Dirac Delta function, the graphene sheet is modeled as a polarization current source characterized by an auxiliary equation (AE). Laplace transform and matrix exponential (ME) technique are applied to derive the time-domain mathematical formulations. Numerical experiments are carried out to verify the proposed method in comparison with the analytical results.
ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2013.2281053