Estimates of scattered electromagnetic fields
(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:
https://lup.lub.lu.se/record/3994207
- author
- Wellander, Niklas LU and Kristensson, Gerhard LU
- organization
- publishing date
- 2014
- 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 Inc.
- 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
- 2016-04-01 10:07:14
- date last changed
- 2022-01-25 19:57:15
@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}}, keywords = {{Maxwell equations; scattered electromagnetic fields; a priori estimates; the exterior Calderon operator}}, language = {{eng}}, number = {{2}}, pages = {{167--172}}, publisher = {{John Wiley & Sons Inc.}}, series = {{Mathematical Methods in the Applied Sciences}}, title = {{Estimates of scattered electromagnetic fields}}, url = {{http://dx.doi.org/10.1002/mma.2831}}, doi = {{10.1002/mma.2831}}, volume = {{37}}, year = {{2014}}, }