开发和分析用于模拟超表面的 FDTD 方法

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED Journal of Computational and Applied Mathematics Pub Date : 2024-11-21 DOI:10.1016/j.cam.2024.116364

Yunqing Huang , Chanjie Li , Jichun Li

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引用次数: 0

摘要

作为二维超材料的超表面具有亚波长厚度。由于超表面周围需要非常精细的网格，因此直接模拟非常具有挑战性。在这里，我们将超表面视为零厚度平面，开发了基于广义薄片过渡条件（GSTCs）的有限差分时域（FDTD）方案。我们通过三个具有代表性的例子说明了该方案的有效性。我们提出了如何建立这种基于 GSTC 的 FDTD 方案的数值稳定性这一未决问题。

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Developing and analyzing a FDTD method for simulation of metasurfaces

Metasurfaces as 2-D metamaterials have a subwavelength thickness. Direct simulation is very challenging since very fine meshes are needed around the metasurfaces. Here we develop the generalized sheet transition conditions (GSTCs) based finite-difference time-domain (FDTD) scheme by treating the metasurface as a zero-thickness plane. The effectiveness of the scheme is illustrated by three representative examples. We raise the open issue on how to establish the numerical stability of such GSTC-based FDTD scheme.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.