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The finite-difference time-domain method (FDTD) (Taflove and Hagness in Computational electrodynamics. The finite-difference time-domain method. Artech House, Boston, 2000 [1]) is probably the most used numerical technique in electromagnetics. The second-order FDTD scheme introduced by Yee (IEEE Trans. Antennas Propag. 14:302–307, 1966 [2]) is simple and versatile. It remains the most popular in applications. This chapter is devoted to the implementation of the various PMLs in the Yee scheme, in vacuum, lossy media, anisotropic media, and dispersive media. The question of the popagation of waves in the discrete space of the FDTD method is addressed, with a particular emphasize on the critical issue of the numerical reflection from the discretized PMLs.    

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The PML ABC for the FDTD Method

  • 章节

  • 发表日期：

    2025年

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  • Jean-Pierre Bérenger

摘要

The finite-difference time-domain method (FDTD) (Taflove and Hagness in Computational electrodynamics. The finite-difference time-domain method. Artech House, Boston, 2000 [1]) is probably the most used numerical technique in electromagnetics. The second-order FDTD scheme introduced by Yee (IEEE Trans. Antennas Propag. 14:302–307, 1966 [2]) is simple and versatile. It remains the most popular in applications. This chapter is devoted to the implementation of the various PMLs in the Yee scheme, in vacuum, lossy media, anisotropic media, and dispersive media. The question of the popagation of waves in the discrete space of the FDTD method is addressed, with a particular emphasize on the critical issue of the numerical reflection from the discretized PMLs.