Characteristic Mode Equations for Non-Symmetric Surface Integral Operators

Pasi Ylä-Oijala; Henrik Wallen

doi:10.23919/EuCAP48036.2020.9135233

Characteristic Mode Equations for Non-Symmetric Surface Integral Operators

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

Abstract

The magnetic field integral operator (MFIO) based characteristic mode formulation for closed perfect electric conductor is considered. Since the MFIO is non-symmetric, we need to consider the eigensolutions of both the MFIO and its transpose operator for a characteristic mode expansion. The eigenvectors of the transpose of the MFIO are shown to be in the dual of the range of the MFIO. Physically, these vectors can be interpreted as the tangential electric field on the surface.

Original language	English
Title of host publication	14th European Conference on Antennas and Propagation, EuCAP 2020
Publisher	EurAAP
Number of pages	5
ISBN (Electronic)	978-88-31299-00-8
DOIs	https://doi.org/10.23919/EuCAP48036.2020.9135233
Publication status	Published - Mar 2020
MoE publication type	A4 Conference publication
Event	European Conference on Antennas and Propagation - Copenhagen, Denmark Duration: 15 Mar 2020 → 20 Mar 2020 Conference number: 14

Publication series

Name	Proceedings of the European Conference on Antennas and Propagation
ISSN (Print)	2164-3342

Conference

Conference	European Conference on Antennas and Propagation
Abbreviated title	EUCAP
Country/Territory	Denmark
City	Copenhagen
Period	15/03/2020 → 20/03/2020

Keywords

characteristic modes
left eigenvector
magnetic field integral equation
transpose operator

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10.23919/EuCAP48036.2020.9135233

Cite this

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title = "Characteristic Mode Equations for Non-Symmetric Surface Integral Operators",

abstract = "The magnetic field integral operator (MFIO) based characteristic mode formulation for closed perfect electric conductor is considered. Since the MFIO is non-symmetric, we need to consider the eigensolutions of both the MFIO and its transpose operator for a characteristic mode expansion. The eigenvectors of the transpose of the MFIO are shown to be in the dual of the range of the MFIO. Physically, these vectors can be interpreted as the tangential electric field on the surface.",

keywords = "characteristic modes, left eigenvector, magnetic field integral equation, transpose operator",

author = "Pasi Yl{\"a}-Oijala and Henrik Wallen",

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Ylä-Oijala, P & Wallen, H 2020, Characteristic Mode Equations for Non-Symmetric Surface Integral Operators. in 14th European Conference on Antennas and Propagation, EuCAP 2020., 9135233, Proceedings of the European Conference on Antennas and Propagation, EurAAP, European Conference on Antennas and Propagation, Copenhagen, Denmark, 15/03/2020. https://doi.org/10.23919/EuCAP48036.2020.9135233

Characteristic Mode Equations for Non-Symmetric Surface Integral Operators. / Ylä-Oijala, Pasi ; Wallen, Henrik.
14th European Conference on Antennas and Propagation, EuCAP 2020. EurAAP, 2020. 9135233 (Proceedings of the European Conference on Antennas and Propagation).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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AU - Ylä-Oijala, Pasi

AU - Wallen, Henrik

N1 - Conference code: 14

PY - 2020/3

Y1 - 2020/3

N2 - The magnetic field integral operator (MFIO) based characteristic mode formulation for closed perfect electric conductor is considered. Since the MFIO is non-symmetric, we need to consider the eigensolutions of both the MFIO and its transpose operator for a characteristic mode expansion. The eigenvectors of the transpose of the MFIO are shown to be in the dual of the range of the MFIO. Physically, these vectors can be interpreted as the tangential electric field on the surface.

AB - The magnetic field integral operator (MFIO) based characteristic mode formulation for closed perfect electric conductor is considered. Since the MFIO is non-symmetric, we need to consider the eigensolutions of both the MFIO and its transpose operator for a characteristic mode expansion. The eigenvectors of the transpose of the MFIO are shown to be in the dual of the range of the MFIO. Physically, these vectors can be interpreted as the tangential electric field on the surface.

KW - characteristic modes

KW - left eigenvector

KW - magnetic field integral equation

KW - transpose operator

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AN - SCOPUS:85088631489

T3 - Proceedings of the European Conference on Antennas and Propagation

BT - 14th European Conference on Antennas and Propagation, EuCAP 2020

PB - EurAAP

T2 - European Conference on Antennas and Propagation

Y2 - 15 March 2020 through 20 March 2020

ER -

Characteristic Mode Equations for Non-Symmetric Surface Integral Operators

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Conference

Keywords

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