Physical limitations on the scattering of electromagnetic vector spherical waves
Bernland, Anders LU ; Gustafsson, Mats LU
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:
https://lup.lub.lu.se/record/1787474
- author
- Bernland, Anders
LU
; Gustafsson, Mats
LU
and Nordebo, Sven
LU
- organization
- publishing date
- 2011
- 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
- 2022-01-29 08:33:39
@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}},
}