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Iterative Calculation of Characteristic Modes Using Arbitrary Full-Wave Solvers

Lundgren, Johan LU ; Schab, Kurt LU ; Capek, Miloslav LU ; Gustafsson, Mats LU orcid and Jelinek, Lukas (2023) In IEEE Antennas and Wireless Propagation Letters 22(4). p.799-803
Abstract

An iterative algorithm is adopted to construct approximate representations of matrices describing the scattering properties of arbitrary objects. The method is based on the implicit evaluation of scattering responses from iteratively generated excitations. The method does not require explicit knowledge of any system matrices (<italic>e.g.</italic>, stiffness or impedance matrices) and is well-suited for use with matrix-free and iterative full-wave solvers, such as FDTD (Finite-difference time-domain method), FEM (Finite element method), and MLFMA (Multilevel Fast Multipole Algorithm). The proposed method allows for significant speed-up compared to the direct construction of a full transition matrix or scattering dyadic. The... (More)

An iterative algorithm is adopted to construct approximate representations of matrices describing the scattering properties of arbitrary objects. The method is based on the implicit evaluation of scattering responses from iteratively generated excitations. The method does not require explicit knowledge of any system matrices (<italic>e.g.</italic>, stiffness or impedance matrices) and is well-suited for use with matrix-free and iterative full-wave solvers, such as FDTD (Finite-difference time-domain method), FEM (Finite element method), and MLFMA (Multilevel Fast Multipole Algorithm). The proposed method allows for significant speed-up compared to the direct construction of a full transition matrix or scattering dyadic. The method is applied to the characteristic mode decomposition of arbitrarily shaped obstacles of arbitrary material distribution. Examples demonstrating the speed-up and complexity of the algorithm are studied with several commercial software packages.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Antenna theory, characteristic modes, computational electromagnetics, eigenvalues and eigenfunctions, scattering
in
IEEE Antennas and Wireless Propagation Letters
volume
22
issue
4
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85144027380
ISSN
1536-1225
DOI
10.1109/LAWP.2022.3225706
language
English
LU publication?
yes
id
57a9b81d-47a7-4fd3-ae06-4f37a7d00d99
date added to LUP
2023-01-25 16:09:17
date last changed
2023-11-21 06:03:26
@article{57a9b81d-47a7-4fd3-ae06-4f37a7d00d99,
  abstract     = {{<p>An iterative algorithm is adopted to construct approximate representations of matrices describing the scattering properties of arbitrary objects. The method is based on the implicit evaluation of scattering responses from iteratively generated excitations. The method does not require explicit knowledge of any system matrices (&lt;italic&gt;e.g.&lt;/italic&gt;, stiffness or impedance matrices) and is well-suited for use with matrix-free and iterative full-wave solvers, such as FDTD (Finite-difference time-domain method), FEM (Finite element method), and MLFMA (Multilevel Fast Multipole Algorithm). The proposed method allows for significant speed-up compared to the direct construction of a full transition matrix or scattering dyadic. The method is applied to the characteristic mode decomposition of arbitrarily shaped obstacles of arbitrary material distribution. Examples demonstrating the speed-up and complexity of the algorithm are studied with several commercial software packages.</p>}},
  author       = {{Lundgren, Johan and Schab, Kurt and Capek, Miloslav and Gustafsson, Mats and Jelinek, Lukas}},
  issn         = {{1536-1225}},
  keywords     = {{Antenna theory; characteristic modes; computational electromagnetics; eigenvalues and eigenfunctions; scattering}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{799--803}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Antennas and Wireless Propagation Letters}},
  title        = {{Iterative Calculation of Characteristic Modes Using Arbitrary Full-Wave Solvers}},
  url          = {{http://dx.doi.org/10.1109/LAWP.2022.3225706}},
  doi          = {{10.1109/LAWP.2022.3225706}},
  volume       = {{22}},
  year         = {{2023}},
}