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Physical limitations on the scattering of electromagnetic vector spherical waves

Bernland, Anders LU ; Gustafsson, Mats LU orcid and Nordebo, Sven LU (2011) In Journal of Physics A: Mathematical and Theoretical 44(14).
Abstract
Understanding the interaction between electromagnetic waves and matter

is vital in applications ranging from classical optics to antenna theory. This paper

derives physical limitations on the scattering of electromagnetic vector spherical waves.

The assumptions made are that the heterogeneous scatterer is passive, and has

constitutive relations which are on convolution form in the time domain and anisotropic

in the static limit. The resulting bounds limit the reflection coefficient of the modes

over a frequency interval, and can thus be interpreted as limitations on the absorption

of power from a single mode. They can be used within a wide range of applications,

and... (More)
Understanding the interaction between electromagnetic waves and matter

is vital in applications ranging from classical optics to antenna theory. This paper

derives physical limitations on the scattering of electromagnetic vector spherical waves.

The assumptions made are that the heterogeneous scatterer is passive, and has

constitutive relations which are on convolution form in the time domain and anisotropic

in the static limit. The resulting bounds limit the reflection coefficient of the modes

over a frequency interval, and can thus be interpreted as limitations on the absorption

of power from a single mode. They can be used within a wide range of applications,

and are particularly useful for electrically small scatterers. The derivation follows a

general approach to derive sum rules and physical limitations on passive systems on

convolution form. The time domain versions of the vector spherical waves are used

to describe the passivity of the scatterer, and a set of integral identities for Herglotz

functions are applied to derive sum rules from which the physical limitations follow. (Less)
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
Journal of Physics A: Mathematical and Theoretical
volume
44
issue
14
article number
145401
publisher
IOP Publishing
external identifiers
  • wos:000288597500018
  • scopus:79953725455
ISSN
1751-8113
DOI
10.1088/1751-8113/44/14/145401
project
EIT_HSWC:Antenna MIMO antennas and channels
language
English
LU publication?
yes
id
e39dbfc9-f346-44ab-9f5a-95e6585e28a7 (old id 1787474)
alternative location
http://stacks.iop.org/1751-8121/44/145401
date added to LUP
2016-04-04 09:09:51
date last changed
2021-09-15 04:34:55
@article{e39dbfc9-f346-44ab-9f5a-95e6585e28a7,
  abstract     = {Understanding the interaction between electromagnetic waves and matter<br/><br>
is vital in applications ranging from classical optics to antenna theory. This paper<br/><br>
derives physical limitations on the scattering of electromagnetic vector spherical waves.<br/><br>
The assumptions made are that the heterogeneous scatterer is passive, and has<br/><br>
constitutive relations which are on convolution form in the time domain and anisotropic<br/><br>
in the static limit. The resulting bounds limit the reflection coefficient of the modes<br/><br>
over a frequency interval, and can thus be interpreted as limitations on the absorption<br/><br>
of power from a single mode. They can be used within a wide range of applications,<br/><br>
and are particularly useful for electrically small scatterers. The derivation follows a<br/><br>
general approach to derive sum rules and physical limitations on passive systems on<br/><br>
convolution form. The time domain versions of the vector spherical waves are used<br/><br>
to describe the passivity of the scatterer, and a set of integral identities for Herglotz<br/><br>
functions are applied to derive sum rules from which the physical limitations follow.},
  author       = {Bernland, Anders and Gustafsson, Mats and Nordebo, Sven},
  issn         = {1751-8113},
  language     = {eng},
  number       = {14},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and Theoretical},
  title        = {Physical limitations on the scattering of electromagnetic vector spherical waves},
  url          = {http://dx.doi.org/10.1088/1751-8113/44/14/145401},
  doi          = {10.1088/1751-8113/44/14/145401},
  volume       = {44},
  year         = {2011},
}