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Volume 38, Issue 2
Analysis and FDTD Simulation of a Perfectly Matched Layer for the Drude Metamaterial

Jichun Li & Li Zhu

DOI: 10.4208/aam.OA-2022-0002

Ann. Appl. Math., 38 (2022), pp. 159-182.

Published online: 2022-04

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  • 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.

  • Keywords

Maxwell’s equations, perfectly matched layer, FDTD method.

  • AMS Subject Headings

65N30, 35L15, 78-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-38-159, author = {Li , Jichun and Zhu , Li}, title = {Analysis and FDTD Simulation of a Perfectly Matched Layer for the Drude Metamaterial}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {38}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2022-0002}, url = {http://global-sci.org/intro/article_detail/aam/20453.html} }
TY - JOUR T1 - Analysis and FDTD Simulation of a Perfectly Matched Layer for the Drude Metamaterial AU - Li , Jichun AU - Zhu , Li JO - Annals of Applied Mathematics VL - 2 SP - 159 EP - 182 PY - 2022 DA - 2022/04 SN - 38 DO - http://doi.org/10.4208/aam.OA-2022-0002 UR - https://global-sci.org/intro/article_detail/aam/20453.html KW - Maxwell’s equations, perfectly matched layer, FDTD method. AB -

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.

Li , Jichun and Zhu , Li. (2022). Analysis and FDTD Simulation of a Perfectly Matched Layer for the Drude Metamaterial. Annals of Applied Mathematics. 38 (2). 159-182. doi:10.4208/aam.OA-2022-0002
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