Unified Theory of Characteristic Modes : Part I: Fundamentals
Gustafsson, Mats LU
; Jelinek, Lukas
; Schab, Kurt
and Capek, Miloslav
(2022)
In IEEE Transactions on Antennas and Propagation
p.11801-11813
- Abstract
A unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic link between impedance and transition matrices, the latter of which was used in early definitions of characteristic modes and is uniquely defined for all scattering scenarios. This also makes it possible to extend the known application domain of characteristic mode decomposition to any other frequency-domain solver capable of generating transition matrices, such as finite difference or finite element methods. The formulation of characteristic modes using a transition matrix allows for the decomposition of induced currents and scattered fields... (More)
A unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic link between impedance and transition matrices, the latter of which was used in early definitions of characteristic modes and is uniquely defined for all scattering scenarios. This also makes it possible to extend the known application domain of characteristic mode decomposition to any other frequency-domain solver capable of generating transition matrices, such as finite difference or finite element methods. The formulation of characteristic modes using a transition matrix allows for the decomposition of induced currents and scattered fields from arbitrarily shaped objects, providing high numerical dynamics and increased stability, removing the issue of spurious modes, and offering good control of convergence. This first part of a two-part paper introduces the entire theory, extensively discusses its properties and offers its basic numerical validation.
(Less)
- author
- Gustafsson, Mats
LU
; Jelinek, Lukas
; Schab, Kurt
and Capek, Miloslav
- organization
- publishing date
- 2022
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Antenna theory, characteristic modes, computational electromagnetics, Current density, eigenvalues and eigenfunctions, Finite element analysis, Impedance, Integral equations, Matrix decomposition, method of moments, Method of moments, scattering, Scattering, T-matrix method
- in
- IEEE Transactions on Antennas and Propagation
- pages
- 13 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85139839337
- ISSN
- 0018-926X
- DOI
- 10.1109/TAP.2022.3211338
- language
- English
- LU publication?
- yes
- id
- f0c653e6-c381-450d-9c49-a3393e0a0f90
- date added to LUP
- 2023-01-23 09:04:50
- date last changed
- 2025-04-04 15:18:11
@article{f0c653e6-c381-450d-9c49-a3393e0a0f90,
abstract = {{<p>A unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic link between impedance and transition matrices, the latter of which was used in early definitions of characteristic modes and is uniquely defined for all scattering scenarios. This also makes it possible to extend the known application domain of characteristic mode decomposition to any other frequency-domain solver capable of generating transition matrices, such as finite difference or finite element methods. The formulation of characteristic modes using a transition matrix allows for the decomposition of induced currents and scattered fields from arbitrarily shaped objects, providing high numerical dynamics and increased stability, removing the issue of spurious modes, and offering good control of convergence. This first part of a two-part paper introduces the entire theory, extensively discusses its properties and offers its basic numerical validation.</p>}},
author = {{Gustafsson, Mats and Jelinek, Lukas and Schab, Kurt and Capek, Miloslav}},
issn = {{0018-926X}},
keywords = {{Antenna theory; characteristic modes; computational electromagnetics; Current density; eigenvalues and eigenfunctions; Finite element analysis; Impedance; Integral equations; Matrix decomposition; method of moments; Method of moments; scattering; Scattering; T-matrix method}},
language = {{eng}},
pages = {{11801--11813}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Antennas and Propagation}},
title = {{Unified Theory of Characteristic Modes : Part I: Fundamentals}},
url = {{http://dx.doi.org/10.1109/TAP.2022.3211338}},
doi = {{10.1109/TAP.2022.3211338}},
year = {{2022}},
}