Advanced

On characteristic eigenvalues of complex media in surface integral formulations

Miers, Zachary LU and Lau, Buon Kiong LU (2017) In IEEE Antennas and Wireless Propagation Letters 16(1). p.1820-1823
Abstract
Although surface integral equations (SIEs) have been extensively used in solving electromagnetic problems of penetrable objects, there are still open issues relating to their application to the Theory of Characteristic Modes. This work demonstrates that when an SIE is used to solve for the characteristic modes (CMs) of a dielectric or magnetic object, the resulting eigenvalues are unrelated to the reactive power of the object, unlike the eigenvalues of perfect electric conductors. However, it is proposed that the classical eigenvalues, which provide useful physical insights, can be extracted from the SIE CM solution using Poynting’s theorem. Large discrepancies between the SIE CM eigenvalues and the proposed eigenvalues, as well as... (More)
Although surface integral equations (SIEs) have been extensively used in solving electromagnetic problems of penetrable objects, there are still open issues relating to their application to the Theory of Characteristic Modes. This work demonstrates that when an SIE is used to solve for the characteristic modes (CMs) of a dielectric or magnetic object, the resulting eigenvalues are unrelated to the reactive power of the object, unlike the eigenvalues of perfect electric conductors. However, it is proposed that the classical eigenvalues, which provide useful physical insights, can be extracted from the SIE CM solution using Poynting’s theorem. Large discrepancies between the SIE CM eigenvalues and the proposed eigenvalues, as well as eigenvalue-derived characteristic quantities, are highlighted using a numerical example. The modal resonances as predicted by the proposed eigenvalues closely match those obtained for natural resonance modes. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Antennas and Wireless Propagation Letters
volume
16
issue
1
pages
4 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85028328421
ISSN
1548-5757
DOI
10.1109/LAWP.2017.2681681
language
English
LU publication?
yes
id
0f258e66-76d8-43b6-9ed3-b23f35fc34a8
date added to LUP
2017-03-11 23:15:21
date last changed
2017-09-17 09:42:54
@article{0f258e66-76d8-43b6-9ed3-b23f35fc34a8,
  abstract     = {Although surface integral equations (SIEs) have been extensively used in solving electromagnetic problems of penetrable objects, there are still open issues relating to their application to the Theory of Characteristic Modes. This work demonstrates that when an SIE is used to solve for the characteristic modes (CMs) of a dielectric or magnetic object, the resulting eigenvalues are unrelated to the reactive power of the object, unlike the eigenvalues of perfect electric conductors. However, it is proposed that the classical eigenvalues, which provide useful physical insights, can be extracted from the SIE CM solution using Poynting’s theorem. Large discrepancies between the SIE CM eigenvalues and the proposed eigenvalues, as well as eigenvalue-derived characteristic quantities, are highlighted using a numerical example. The modal resonances as predicted by the proposed eigenvalues closely match those obtained for natural resonance modes.},
  author       = {Miers, Zachary and Lau, Buon Kiong},
  issn         = {1548-5757},
  language     = {eng},
  number       = {1},
  pages        = {1820--1823},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Antennas and Wireless Propagation Letters},
  title        = {On characteristic eigenvalues of complex media in surface integral formulations},
  url          = {http://dx.doi.org/10.1109/LAWP.2017.2681681 },
  volume       = {16},
  year         = {2017},
}