One-step leapfrog ADI-FDTD method for simulating electromagnetic wave propagation in general dispersive media

WANG Xianghua; YIN Wenyan; CHEN Zhizhang

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One-step leapfrog ADI-FDTD method for simulating electromagnetic wave propagation in general dispersive media

WANG Xianghua 1,YIN Wenyan 2 *,CHEN Zhizhang 1

1.Center for Optical and Electromagnetic Research, MOI, ZHEJIANG University, Hang Zhou

2. Tianjin University of Technology and Education

*Correspondence author

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Funding: the NSFC under Grant （No.No.61171037）, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant （No.No.20100101110065）, the National Basic Research Program under Grant （No.No.2009CB320204）

Opened online: 7 January 2014

Accepted by: none

Citation: WANG Xianghua,YIN Wenyan,CHEN Zhizhang.One-step leapfrog ADI-FDTD method for simulating electromagnetic wave propagation in general dispersive media[OL]. [ 7 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4577464

The one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is reformulated for simulating general electrically dispersive media. It models material dispersive properties with equivalent polarization currents. These currents are then solved with the auxiliary differential equation (ADE) and then incorporated into the one-step leapfrog ADI-FDTD method. The final equations are presented in the form similar to that of the conventional FDTD method but with second-order perturbation. The adapted method is then applied to characterize (a) electromagnetic wave propagation in a rectangular waveguide loaded with a magnetized plasma slab, (b) transmission coefficient of a plane wave normally incident on a monolayer graphene sheet biased by a magnetostatic field, and (c) surface plasmon polaritons (SPPs) propagation along a monolayer graphene sheet biased by an electrostatic field. The numerical results verify the stability, accuracy and computational efficiency of the proposed one-step leapfrog ADI-FDTD algorithm in comparison with analytical results and the results obtained with the other methods.

Keywords:ADE; Graphene; FDTD

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