Prism-Based DGTD with a Simplified Periodic Boundary Condition to Analyze FSS with D 2n Symmetry in a Rectangular Array under Normal Incidence

Wending Mai, Ping Li, Huaguang Bao, Xianjin Li, Lijun Jiang, Jun Hu, Douglas Henry Werner

Research output: Contribution to journalArticle

Abstract

In this letter, we develop a prism-based discontinuous Galerkin time-domain (DGTD) algorithm with simplified periodic boundary conditions (PBCs) to analyze infinite doubly periodic frequency selective surfaces (FSS). Most FSS structures contain patterned planar conductive layers and supporting dielectric layers. These layers are very thin compared to the wavelength. Therefore, general tetrahedral discretization of space will unnecessarily increase the number of mesh elements, as well as the number of unknowns. Instead, we propose using prismatic elements, which are more optimal for planar structures, resulting in less unknowns, less memory usage, and higher efficiency. The accuracy of the proposed prism-based DGTD method is verified by numerical examples compared with commercial software packages. Moreover, the CPU and memory costs are also compared, demonstrating clear advantages of the proposed prism-based DGTD method.

Original languageEnglish (US)
Article number8656552
Pages (from-to)771-775
Number of pages5
JournalIEEE Antennas and Wireless Propagation Letters
Volume18
Issue number4
DOIs
StatePublished - Apr 1 2019

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Frequency selective surfaces
Prisms
Boundary conditions
Data storage equipment
Software packages
Surface structure
Program processors
Wavelength
Costs

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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title = "Prism-Based DGTD with a Simplified Periodic Boundary Condition to Analyze FSS with D 2n Symmetry in a Rectangular Array under Normal Incidence",
abstract = "In this letter, we develop a prism-based discontinuous Galerkin time-domain (DGTD) algorithm with simplified periodic boundary conditions (PBCs) to analyze infinite doubly periodic frequency selective surfaces (FSS). Most FSS structures contain patterned planar conductive layers and supporting dielectric layers. These layers are very thin compared to the wavelength. Therefore, general tetrahedral discretization of space will unnecessarily increase the number of mesh elements, as well as the number of unknowns. Instead, we propose using prismatic elements, which are more optimal for planar structures, resulting in less unknowns, less memory usage, and higher efficiency. The accuracy of the proposed prism-based DGTD method is verified by numerical examples compared with commercial software packages. Moreover, the CPU and memory costs are also compared, demonstrating clear advantages of the proposed prism-based DGTD method.",
author = "Wending Mai and Ping Li and Huaguang Bao and Xianjin Li and Lijun Jiang and Jun Hu and Werner, {Douglas Henry}",
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Prism-Based DGTD with a Simplified Periodic Boundary Condition to Analyze FSS with D 2n Symmetry in a Rectangular Array under Normal Incidence . / Mai, Wending; Li, Ping; Bao, Huaguang; Li, Xianjin; Jiang, Lijun; Hu, Jun; Werner, Douglas Henry.

In: IEEE Antennas and Wireless Propagation Letters, Vol. 18, No. 4, 8656552, 01.04.2019, p. 771-775.

Research output: Contribution to journalArticle

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AU - Mai, Wending

AU - Li, Ping

AU - Bao, Huaguang

AU - Li, Xianjin

AU - Jiang, Lijun

AU - Hu, Jun

AU - Werner, Douglas Henry

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