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On the non-uniqueness of the electromagnetic instantaneous response

Gustafsson, Mats LU (2003) In Journal of Physics A: Mathematical and General1975-01-01+01:002007-01-01+01:00 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.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and General1975-01-01+01:002007-01-01+01:00
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
2007-07-05 09:22:35
date last changed
2018-01-07 09:49:27
@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 General1975-01-01+01:002007-01-01+01:00},
  title        = {On the non-uniqueness of the electromagnetic instantaneous response},
  url          = {http://dx.doi.org/10.1088/0305-4470/36/6/317},
  volume       = {36},
  year         = {2003},
}