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Simulation of Electromagnetic Wave Propagation in Plasma Using Matrix Exponential FDTD Method

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Abstract

The electromagnetic propagation in plasma media can be conveniently modeled using finite difference time domain method based on the matrix exponential (ME-FDTD) method. The Maxwell’s curl equations and the constitutive relations between the flux density and the electric field can be looked as a first order differential matrix system. The fundamental solution to such a system is derived in terms of matrix exponential and the update equations can be extracted conveniently from the solution. This has the advantages of presenting a more concise formulation. The ME-FDTD algorithm is validated by comparing the simulation results with the analytical values. Numerical results show that the ME-FDTD can acquire high efficiency with less computer consumption and has a good performance of flexibility and simplicity.

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Acknowledgment

The work is supported by State Key Laboratory of Millimeter Waves Open Research Program (K200802) & The Provincial Education Science Foundation of Jiangxi.

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Correspondence to Song Liu.

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Liu, S., Liu, S. Simulation of Electromagnetic Wave Propagation in Plasma Using Matrix Exponential FDTD Method. J Infrared Milli Terahz Waves 30, 1020–1026 (2009). https://doi.org/10.1007/s10762-009-9528-0

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  • DOI: https://doi.org/10.1007/s10762-009-9528-0

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