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Stored Energies and Q-factor expressed in Material derivatives

Nel, Ben LU ; Skrivervik, Anja LU and Gustafsson, Mats LU orcid (2024) In IEEE Antennas and Wireless Propagation Letters 23(1). p.19-23
Abstract
Stored energies of radiating systems have generated research interest for several decades due to their relationship with Q-factor and fractional bandwidth. In this paper material derivatives are used to provide a new interpretation of widely used stored energy expressions. This provides a fundamental relationship between stored energies of radiating systems and their electromagnetic material properties. It is shown that electric stored energy is related to the electric material parameter (permittivity) derivative. Similarly, magnetic stored energy is linked to the derivative of the permeability. Further, as an extension Cauchy-Riemann equations are used to relate stored energy to dissipation.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Antennas and Wireless Propagation Letters
volume
23
issue
1
pages
19 - 23
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85171783912
ISSN
1548-5757
DOI
10.1109/LAWP.2023.3314859
language
English
LU publication?
yes
id
b589f9d4-fd65-4347-9b87-3b5ffa15e8e1
date added to LUP
2023-09-08 14:05:02
date last changed
2024-01-09 15:46:28
@article{b589f9d4-fd65-4347-9b87-3b5ffa15e8e1,
  abstract     = {{Stored energies of radiating systems have generated research interest for several decades due to their relationship with Q-factor and fractional bandwidth. In this paper material derivatives are used to provide a new interpretation of widely used stored energy expressions. This provides a fundamental relationship between stored energies of radiating systems and their electromagnetic material properties. It is shown that electric stored energy is related to the electric material parameter (permittivity) derivative. Similarly, magnetic stored energy is linked to the derivative of the permeability. Further, as an extension Cauchy-Riemann equations are used to relate stored energy to dissipation.}},
  author       = {{Nel, Ben and Skrivervik, Anja and Gustafsson, Mats}},
  issn         = {{1548-5757}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{19--23}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Antennas and Wireless Propagation Letters}},
  title        = {{Stored Energies and Q-factor expressed in Material derivatives}},
  url          = {{https://lup.lub.lu.se/search/files/157777269/TEAT_7278.pdf}},
  doi          = {{10.1109/LAWP.2023.3314859}},
  volume       = {{23}},
  year         = {{2024}},
}