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Finite-Difference Time-Domain Algorithm for Dispersive Media Based on Runge-Kutta Exponential Time Differencing Method

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Abstract

The electromagnetic propagation in dispersive media is modeled using finite difference time domain (FDTD) method based on the Runge-Kutta exponential time differencing (RKETD) method. The second-order RKETD-FDTD formulation is derived. The high accuracy and efficiency of the presented method is confirmed by computing the transmission and reflection coefficients for a nonmagnetized collision plasma slab in one dimension. The comparison of the numerical results of the RKETD and the exponential time differencing (ETD) algorithm with analytic values indicates that the RKETD is more accurate than the ETD algorithm.

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Acknowledgment

The work is supported by National Nature Science foundation of China (NO 60771017) & The Provincial Education Science Foundation of Jiangxi (NO Z-03510).

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Authors and Affiliations

  1. College of Information Science & Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016, People’s Republic of China

    Song Liu & Shaobin Liu

  2. School of Sciences, Nanchang University, Nanchang, Jiangxi, 330031, People’s Republic of China

    Song Liu & Shuangying Zhong

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  1. Song Liu
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  2. Shuangying Zhong
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  3. Shaobin Liu
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Correspondence to Song Liu.

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Liu, S., Zhong, S. & Liu, S. Finite-Difference Time-Domain Algorithm for Dispersive Media Based on Runge-Kutta Exponential Time Differencing Method. Int J Infrared Milli Waves 29, 323–328 (2008). https://doi.org/10.1007/s10762-008-9327-z

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  • DOI: https://doi.org/10.1007/s10762-008-9327-z

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