PML Implementation in a Non-conforming Mixed-Element DGTD Method for Periodic Structure Analysis

Research output: Contribution to journalArticle

Abstract

A non-conforming mixed-element (tetrahedral/ hexahedral) discontinuous Galerkin time domain (DGTD) method with a perfectly matched layer (PML) absorber is proposed to analyze electromagnetic scattering from doubly periodic structures. An efficient auxiliary differential equation (ADE) based PML implementation is presented with transformed field variables introduced by the time-domain periodic boundary conditions. The proposed PML implementation performs well in absorbing the waves with high-order Floquet modes. Additionally, a mixed-order DGTD method is introduced to improve the proposed PML implementation’s long-term stability and reduce the total computational cost. Based on the mixed tetrahedral and hexahedral grids, the non-conforming DGTD method can provide accurate field distribution near complex scattering geometries while simultaneously reducing the degrees of freedom in the rest of the computational domain, including the open space and PML regions. Finally, electromagnetic simulations are presented to demonstrate the applicability, accuracy and efficiency of the proposed method.

Original languageEnglish (US)
JournalIEEE Transactions on Antennas and Propagation
DOIs
StateAccepted/In press - Jan 1 2019

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Periodic structures
Scattering
Differential equations
Boundary conditions
Geometry
Costs

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

@article{1df2d38b944d4edbb50b647a62868119,
title = "PML Implementation in a Non-conforming Mixed-Element DGTD Method for Periodic Structure Analysis",
abstract = "A non-conforming mixed-element (tetrahedral/ hexahedral) discontinuous Galerkin time domain (DGTD) method with a perfectly matched layer (PML) absorber is proposed to analyze electromagnetic scattering from doubly periodic structures. An efficient auxiliary differential equation (ADE) based PML implementation is presented with transformed field variables introduced by the time-domain periodic boundary conditions. The proposed PML implementation performs well in absorbing the waves with high-order Floquet modes. Additionally, a mixed-order DGTD method is introduced to improve the proposed PML implementation’s long-term stability and reduce the total computational cost. Based on the mixed tetrahedral and hexahedral grids, the non-conforming DGTD method can provide accurate field distribution near complex scattering geometries while simultaneously reducing the degrees of freedom in the rest of the computational domain, including the open space and PML regions. Finally, electromagnetic simulations are presented to demonstrate the applicability, accuracy and efficiency of the proposed method.",
author = "Huaguang Bao and Lei Kang and Sawyer Campbell and Werner, {Douglas Henry}",
year = "2019",
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language = "English (US)",
journal = "IEEE Transactions on Antennas and Propagation",
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AU - Bao, Huaguang

AU - Kang, Lei

AU - Campbell, Sawyer

AU - Werner, Douglas Henry

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A non-conforming mixed-element (tetrahedral/ hexahedral) discontinuous Galerkin time domain (DGTD) method with a perfectly matched layer (PML) absorber is proposed to analyze electromagnetic scattering from doubly periodic structures. An efficient auxiliary differential equation (ADE) based PML implementation is presented with transformed field variables introduced by the time-domain periodic boundary conditions. The proposed PML implementation performs well in absorbing the waves with high-order Floquet modes. Additionally, a mixed-order DGTD method is introduced to improve the proposed PML implementation’s long-term stability and reduce the total computational cost. Based on the mixed tetrahedral and hexahedral grids, the non-conforming DGTD method can provide accurate field distribution near complex scattering geometries while simultaneously reducing the degrees of freedom in the rest of the computational domain, including the open space and PML regions. Finally, electromagnetic simulations are presented to demonstrate the applicability, accuracy and efficiency of the proposed method.

AB - A non-conforming mixed-element (tetrahedral/ hexahedral) discontinuous Galerkin time domain (DGTD) method with a perfectly matched layer (PML) absorber is proposed to analyze electromagnetic scattering from doubly periodic structures. An efficient auxiliary differential equation (ADE) based PML implementation is presented with transformed field variables introduced by the time-domain periodic boundary conditions. The proposed PML implementation performs well in absorbing the waves with high-order Floquet modes. Additionally, a mixed-order DGTD method is introduced to improve the proposed PML implementation’s long-term stability and reduce the total computational cost. Based on the mixed tetrahedral and hexahedral grids, the non-conforming DGTD method can provide accurate field distribution near complex scattering geometries while simultaneously reducing the degrees of freedom in the rest of the computational domain, including the open space and PML regions. Finally, electromagnetic simulations are presented to demonstrate the applicability, accuracy and efficiency of the proposed method.

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