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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2015-08-12
Analysis of Numerical Dispersion in the High-Order 2-d WLP-FDTD Method
By
Wei-Jun Chen,

    Dr. Wei-Jun Chen

    School of Information Engineering

    Lingnan Normal University

    China

    Homepage

Jun Quan,

    Dr. Jun Quan

    School of Physics Science and Technology

    Lingnan Normal University

    China

    Homepage

Shi-Yu Long

    Dr. Shi-Yu Long

    School of Information Engineering

    Lingnan Normal University

    China

    Homepage

Progress In Electromagnetics Research Letters, Vol. 55, 7-13, 2015
doi:10.2528/PIERL15051204 | Google Scholar

Abstract
A theoretical analysis of numerical dispersion in the high-order finite-difference time-domain (FDTD) method with weighted Laguerre polynomials (WLPs) is proposed in this paper. According to the numerical dispersion relation for the two-dimensional (2-D) case, the numerical phase velocities relevant to the direction of wave propagation, grid discretization and time-scale factor are obtained. For a fixed relative error of the numerical phase velocity, the suitable sampling point density and time-scale factor can be determined. Compared with the low-order WLP-FDTD, the high-order one shows its good dispersion characteristics while a low sampling density is used. Three numerical examples are included to validate the effectiveness of the high-order scheme.
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Citation
Wei-Jun Chen, Jun Quan, and Shi-Yu Long, "Analysis of Numerical Dispersion in the High-Order 2-d WLP-FDTD Method," Progress In Electromagnetics Research Letters, Vol. 55, 7-13, 2015.
doi:10.2528/PIERL15051204
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