On the non-uniqueness of the electromagnetic instantaneous response
Gustafsson, Mats LU
(2003)
In Journal of Physics A: Mathematical and General
36(6).
p.1743-1758
- Abstract
- The instantaneous response models the rapid part of the interaction between electromagnetic fields and materials. From a physical point of view the instantaneous response is non-observable and from a mathematical point of view it constitutes the principal part of the Maxwell equations. In this paper, it is shown that the instantaneous response is not uniquely determined from a given set of values of the constitutive map. The given values only give an upper bound on the size of the instantaneous response. A numerical example illustrates the non-uniqueness of the instantaneous response.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/143198
- author
- Gustafsson, Mats
LU
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and General
- volume
- 36
- issue
- 6
- pages
- 1743 - 1758
- publisher
- IOP Publishing
- external identifiers
-
- wos:000181553100017
- scopus:0037436165
- ISSN
- 0305-4470
- DOI
- 10.1088/0305-4470/36/6/317
- language
- English
- LU publication?
- yes
- id
- 8e68309a-b834-4cff-8b25-2b775c255bac (old id 143198)
- date added to LUP
- 2016-04-01 17:12:12
- date last changed
- 2022-01-29 01:06:18
@article{8e68309a-b834-4cff-8b25-2b775c255bac,
abstract = {{The instantaneous response models the rapid part of the interaction between electromagnetic fields and materials. From a physical point of view the instantaneous response is non-observable and from a mathematical point of view it constitutes the principal part of the Maxwell equations. In this paper, it is shown that the instantaneous response is not uniquely determined from a given set of values of the constitutive map. The given values only give an upper bound on the size of the instantaneous response. A numerical example illustrates the non-uniqueness of the instantaneous response.}},
author = {{Gustafsson, Mats}},
issn = {{0305-4470}},
language = {{eng}},
number = {{6}},
pages = {{1743--1758}},
publisher = {{IOP Publishing}},
series = {{Journal of Physics A: Mathematical and General}},
title = {{On the non-uniqueness of the electromagnetic instantaneous response}},
url = {{http://dx.doi.org/10.1088/0305-4470/36/6/317}},
doi = {{10.1088/0305-4470/36/6/317}},
volume = {{36}},
year = {{2003}},
}