Physical limitations on the scattering of electromagnetic vector spherical waves
(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:
http://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
 publisher
 IOP Publishing
 external identifiers

 WOS:000288597500018
 Scopus:79953725455
 ISSN
 17518113
 DOI
 10.1088/17518113/44/14/145401
 project
 EIT_HSWC:Antenna MIMO antennas and channels
 language
 English
 LU publication?
 yes
 id
 e39dbfc9f34644ab9f5a95e6585e28a7 (old id 1787474)
 alternative location
 http://stacks.iop.org/17518121/44/145401
 date added to LUP
 20110222 10:47:43
 date last changed
 20161013 04:25:10
@misc{e39dbfc9f34644ab9f5a95e6585e28a7, 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 = {17518113}, language = {eng}, number = {14}, publisher = {ARRAY(0x9889f00)}, series = {Journal of Physics A: Mathematical and Theoretical}, title = {Physical limitations on the scattering of electromagnetic vector spherical waves}, url = {http://dx.doi.org/10.1088/17518113/44/14/145401}, volume = {44}, year = {2011}, }