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)
- 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:
https://lup.lub.lu.se/record/1600496
- author
- Bernland, Anders
LU
; Gustafsson, Mats
LU
and Nordebo, Sven
LU
- organization
- publishing date
- 2010
- 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)
- pages
- 24 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7194
- project
- EIT_HSWC:Antenna MIMO antennas and channels
- language
- English
- LU publication?
- yes
- additional info
- Published version: Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 14, pp. 145401, 2011.
- id
- 11eedb16-79d1-495b-bd44-8d7b3e889b07 (old id 1600496)
- date added to LUP
- 2016-04-04 14:12:42
- date last changed
- 2018-11-21 21:18:57
@techreport{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}},
institution = {{[Publisher information missing]}},
keywords = {{physical limitations; sum rules; vector spherical waves; scattering; Herglotz functions}},
language = {{eng}},
number = {{TEAT-7194}},
series = {{Technical Report LUTEDX/(TEAT-7194)/1-24/(2010)}},
title = {{Physical limitations on the scattering of electromagnetic vector spherical waves}},
url = {{https://lup.lub.lu.se/search/files/6306972/1600503.pdf}},
year = {{2010}},
}