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Physical limitations on the scattering of electromagnetic vector spherical waves

Bernland, Anders LU ; Gustafsson, Mats LU and Nordebo, Sven LU (2010) In Technical Report LUTEDX/(TEAT-7194)/1-24/(2010) TEAT-7194.
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 are particularly... (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
organization
publishing date
type
Book/Report
publication status
published
subject
keywords
physical limitations, sum rules, vector spherical waves, scattering, Herglotz functions
in
Technical Report LUTEDX/(TEAT-7194)/1-24/(2010)
volume
TEAT-7194
pages
24 pages
publisher
[Publisher information missing]
project
EIT_HSWC:Antenna MIMO antennas and channels
language
English
LU publication?
yes
id
11eedb16-79d1-495b-bd44-8d7b3e889b07 (old id 1600496)
date added to LUP
2010-05-11 13:22:09
date last changed
2016-10-07 15:10:39
@misc{11eedb16-79d1-495b-bd44-8d7b3e889b07,
  abstract     = {Understanding the interaction between electromagnetic waves and matter is vital in applications ranging from classical optics to antenna theory.<br/><br>
This paper 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 constitutive relations which are on convolution form in the time domain and anisotropic in the static limit.<br/><br>
The resulting bounds<br/><br>
limit the reflection coefficient of the modes over a frequency interval,<br/><br>
and can thus be interpreted as limitations on the absorption of power from a single mode.<br/><br>
They can be used within a wide range of applications, and are particularly useful for electrically small scatterers.<br/><br>
The derivation follows a general approach to derive sum rules and physical limitations on passive systems on convolution form.<br/><br>
The time domain versions of the vector spherical waves are used to describe the passivity of the scatterer, and<br/><br>
a set of integral identities for Herglotz functions are applied to derive sum rules from which the physical limitations follow.},
  author       = {Bernland, Anders and Gustafsson, Mats and Nordebo, Sven},
  keyword      = {physical limitations,sum rules,vector spherical waves,scattering,Herglotz functions},
  language     = {eng},
  pages        = {24},
  publisher    = {ARRAY(0x83c87b8)},
  series       = {Technical Report LUTEDX/(TEAT-7194)/1-24/(2010)},
  title        = {Physical limitations on the scattering of electromagnetic vector spherical waves},
  volume       = {TEAT-7194},
  year         = {2010},
}