Advanced

Estimates of scattered electromagnetic fields

Wellander, Niklas LU and Kristensson, Gerhard LU (2014) In Mathematical Methods in the Applied Sciences 37(2). p.167-172
Abstract
We present some general estimates of the scattered electromagnetic fields for a general bounded scattering domain Ω in the anisotropic materials setting. In particular, it is shown that the inline image - norm and sup norm of the scattered field in an arbitrary finite exterior domain Ωs is bounded by the H(curl,Ω) norm of the incident field. Moreover, several estimates of the traces of the scattered field on the boundary are presented. These estimates have bearing on estimations on cloaking.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Maxwell equations, scattered electromagnetic fields, a priori estimates, the exterior Calderon operator
in
Mathematical Methods in the Applied Sciences
volume
37
issue
2
pages
167 - 172
publisher
John Wiley & Sons
external identifiers
  • wos:000328520100003
  • scopus:84890661313
ISSN
1099-1476
DOI
10.1002/mma.2831
language
English
LU publication?
yes
id
0e618486-f0a6-4387-bbc3-711151259600 (old id 3994207)
date added to LUP
2013-08-23 10:25:40
date last changed
2017-01-01 03:17:45
@article{0e618486-f0a6-4387-bbc3-711151259600,
  abstract     = {We present some general estimates of the scattered electromagnetic fields for a general bounded scattering domain Ω in the anisotropic materials setting. In particular, it is shown that the inline image - norm and sup norm of the scattered field in an arbitrary finite exterior domain Ωs is bounded by the H(curl,Ω) norm of the incident field. Moreover, several estimates of the traces of the scattered field on the boundary are presented. These estimates have bearing on estimations on cloaking.},
  author       = {Wellander, Niklas and Kristensson, Gerhard},
  issn         = {1099-1476},
  keyword      = {Maxwell equations,scattered electromagnetic fields,a priori estimates,the exterior Calderon operator},
  language     = {eng},
  number       = {2},
  pages        = {167--172},
  publisher    = {John Wiley & Sons},
  series       = {Mathematical Methods in the Applied Sciences},
  title        = {Estimates of scattered electromagnetic fields},
  url          = {http://dx.doi.org/10.1002/mma.2831},
  volume       = {37},
  year         = {2014},
}