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Validating the Characteristic Modes Solvers

Capek, Miloslav LU ; Losenicky, Vit; Jelinek, Lukas and Gustafsson, Mats LU (2017) In IEEE Transactions on Antennas and Propagation1963-01-01+01:00 65(8). p.4134-4145
Abstract

Characteristic modes (CMs) of a spherical shell are found analytically as spherical harmonics normalized to radiate unitary power and to fulfill specific boundary conditions. The presented closed-form formulas lead to a proposal of precise synthetic benchmarks that can be utilized to validate the method-of-moments matrix or performance of CM decomposition. Dependence on the mesh size, electrical size, and other parameters can systematically be studied, including the performance of various mode tracking algorithms. A notable advantage is the independence on feeding models. Both theoretical and numerical aspects of CM decomposition are discussed and illustrated by examples. The performance of state-of-the-art commercial simulators and... (More)

Characteristic modes (CMs) of a spherical shell are found analytically as spherical harmonics normalized to radiate unitary power and to fulfill specific boundary conditions. The presented closed-form formulas lead to a proposal of precise synthetic benchmarks that can be utilized to validate the method-of-moments matrix or performance of CM decomposition. Dependence on the mesh size, electrical size, and other parameters can systematically be studied, including the performance of various mode tracking algorithms. A notable advantage is the independence on feeding models. Both theoretical and numerical aspects of CM decomposition are discussed and illustrated by examples. The performance of state-of-the-art commercial simulators and academic packages having been investigated, we can conclude that all contemporary implementations are capable of identifying the first dominant modes while having severe difficulties with higher order modes. Surprisingly poor performance of the tracking routines is observed notwithstanding the recent ambitious development.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Convergence of numerical methods, eigenvalues and eigenfunctions, numerical analysis, numerical stability
in
IEEE Transactions on Antennas and Propagation1963-01-01+01:00
volume
65
issue
8
pages
12 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85029406711
ISSN
0018-926X
DOI
10.1109/TAP.2017.2708094
language
English
LU publication?
yes
id
b66ed5c1-d849-4e56-97f9-87dd881a4ab2
date added to LUP
2017-10-03 09:47:30
date last changed
2018-01-07 12:20:23
@article{b66ed5c1-d849-4e56-97f9-87dd881a4ab2,
  abstract     = {<p>Characteristic modes (CMs) of a spherical shell are found analytically as spherical harmonics normalized to radiate unitary power and to fulfill specific boundary conditions. The presented closed-form formulas lead to a proposal of precise synthetic benchmarks that can be utilized to validate the method-of-moments matrix or performance of CM decomposition. Dependence on the mesh size, electrical size, and other parameters can systematically be studied, including the performance of various mode tracking algorithms. A notable advantage is the independence on feeding models. Both theoretical and numerical aspects of CM decomposition are discussed and illustrated by examples. The performance of state-of-the-art commercial simulators and academic packages having been investigated, we can conclude that all contemporary implementations are capable of identifying the first dominant modes while having severe difficulties with higher order modes. Surprisingly poor performance of the tracking routines is observed notwithstanding the recent ambitious development.</p>},
  articleno    = {7933981},
  author       = {Capek, Miloslav and Losenicky, Vit and Jelinek, Lukas and Gustafsson, Mats},
  issn         = {0018-926X},
  keyword      = {Convergence of numerical methods,eigenvalues and eigenfunctions,numerical analysis,numerical stability},
  language     = {eng},
  month        = {08},
  number       = {8},
  pages        = {4134--4145},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Antennas and Propagation1963-01-01+01:00},
  title        = {Validating the Characteristic Modes Solvers},
  url          = {http://dx.doi.org/10.1109/TAP.2017.2708094},
  volume       = {65},
  year         = {2017},
}