Year: 2022
Annals of Applied Mathematics, Vol. 38 (2022), Iss. 2 : pp. 159–182
Abstract
In this paper, we are concerned about the stability analysis for a Perfectly Matched Layer (PML) recently developed by Bécache et al. [5] for simulating wave propagation in the Drude metamaterial. This PML is proved to be stable originally in [6] through a modal analysis. Here we establish its stability by the energy method. A FDTD scheme is developed and analyzed. Numerical simulations illustrate the stability of the PML model and its effectiveness in absorbing outgoing waves in the Drude medium.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2022-0002
Annals of Applied Mathematics, Vol. 38 (2022), Iss. 2 : pp. 159–182
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Maxwell’s equations perfectly matched layer FDTD method.
Author Details
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Analysis and application of a time-domain finite element method for the Drude metamaterial perfectly matched layer model
Huang, Yunqing | Li, Jichun | Yi, Xuancen | Zhao, HaokeJournal of Computational and Applied Mathematics, Vol. 438 (2024), Iss. P.115575
https://doi.org/10.1016/j.cam.2023.115575 [Citations: 1] -
Recent progress on mathematical analysis and numerical simulations for Maxwell's equations in perfectly matched layers and complex media: a review
Li, Jichun
Electronic Research Archive, Vol. 32 (2024), Iss. 3 P.1901
https://doi.org/10.3934/era.2024087 [Citations: 0]