A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities

A generalized transition matrix (GTM) model combined with discontinuous Galerkin (DG) method is proposed to analyze the scattering problems of open-ended cavities. A virtual reference surface is put to seal the opening of an open cavity and can separate it into an exterior region and an interior reg...

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Main Authors: Yuyang Hu, Gaobiao Xiao, Shang Xiang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Open Journal of Antennas and Propagation
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9107239/
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author Yuyang Hu
Gaobiao Xiao
Shang Xiang
author_facet Yuyang Hu
Gaobiao Xiao
Shang Xiang
author_sort Yuyang Hu
collection DOAJ
description A generalized transition matrix (GTM) model combined with discontinuous Galerkin (DG) method is proposed to analyze the scattering problems of open-ended cavities. A virtual reference surface is put to seal the opening of an open cavity and can separate it into an exterior region and an interior region. By mapping the scattering properties of the internal components onto the reference surface, the information interaction of the GTM model occurs on the reference surface only. With its features of nonconformal meshes at the boundary, the DG method makes the model feasible and accurate regardless of the normal continuity of the surface current at the transitional interface. The GTM model is independent of the exterior structure of the cavity and the external fields. The computational cost can be significantly decreased when the GTM model with the identical inner region is reused. Numerical examples demonstrate good precision and efficiency of the presented method.
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spelling doaj.art-7ce84644a2524a83a7fd66c4364f85e92022-12-21T23:44:22ZengIEEEIEEE Open Journal of Antennas and Propagation2637-64312020-01-01127228210.1109/OJAP.2020.29996579107239A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open CavitiesYuyang Hu0Gaobiao Xiao1Shang Xiang2Key Laboratory of Ministry of Education of Design and Electromagnetic Compatibility of High-Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, 200240, ChinaKey Laboratory of Ministry of Education of Design and Electromagnetic Compatibility of High-Speed Electronic Systems, Shanghai Jiao Tong University, Shanghai, 200240, ChinaDepartment of Electrical and Information Technology, Lund University, Lund, SwedenA generalized transition matrix (GTM) model combined with discontinuous Galerkin (DG) method is proposed to analyze the scattering problems of open-ended cavities. A virtual reference surface is put to seal the opening of an open cavity and can separate it into an exterior region and an interior region. By mapping the scattering properties of the internal components onto the reference surface, the information interaction of the GTM model occurs on the reference surface only. With its features of nonconformal meshes at the boundary, the DG method makes the model feasible and accurate regardless of the normal continuity of the surface current at the transitional interface. The GTM model is independent of the exterior structure of the cavity and the external fields. The computational cost can be significantly decreased when the GTM model with the identical inner region is reused. Numerical examples demonstrate good precision and efficiency of the presented method.https://ieeexplore.ieee.org/document/9107239/Generalized transition matrix (GTM)discontinuous Galerkin (DG)open cavityreference surface
spellingShingle Yuyang Hu
Gaobiao Xiao
Shang Xiang
A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities
IEEE Open Journal of Antennas and Propagation
Generalized transition matrix (GTM)
discontinuous Galerkin (DG)
open cavity
reference surface
title A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities
title_full A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities
title_fullStr A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities
title_full_unstemmed A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities
title_short A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities
title_sort generalized transition matrix model combined with discontinuous galerkin method for open cavities
topic Generalized transition matrix (GTM)
discontinuous Galerkin (DG)
open cavity
reference surface
url https://ieeexplore.ieee.org/document/9107239/
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AT yuyanghu generalizedtransitionmatrixmodelcombinedwithdiscontinuousgalerkinmethodforopencavities
AT gaobiaoxiao generalizedtransitionmatrixmodelcombinedwithdiscontinuousgalerkinmethodforopencavities
AT shangxiang generalizedtransitionmatrixmodelcombinedwithdiscontinuousgalerkinmethodforopencavities