Sum rules and constraints on passive systems with applications in electromagnetics
Bernland, Anders LU ; Luger, Annemarie LU and Gustafsson, Mats LU
(2010)
International Symposium on Electromagnetic Theory, 2010
p.33-36
- Abstract
- A passive system is one that cannot produce energy,
a property that naturally poses constraints on the system. In
this paper there is a review of some results on linear, time
translational invariant, continuous, causal and passive systems,
where it turns out that Herglotz functions are related to the
Fourier transform of the impulse response of such systems.
Some well known facts of this function class is considered,
and a set of integral identities and an outline of the proof of
these are presented. The identities may be used to derive sum
rules and constraints on various physical systems. The theory
is illuminated with two examples from... (More) - A passive system is one that cannot produce energy,
a property that naturally poses constraints on the system. In
this paper there is a review of some results on linear, time
translational invariant, continuous, causal and passive systems,
where it turns out that Herglotz functions are related to the
Fourier transform of the impulse response of such systems.
Some well known facts of this function class is considered,
and a set of integral identities and an outline of the proof of
these are presented. The identities may be used to derive sum
rules and constraints on various physical systems. The theory
is illuminated with two examples from electromagnetics: the
first revisits Fano’s matching equations, while the latter makes
a link to the Kramers-Kronig relations and discusses physical
limitations on metamaterials. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1658952
- author
- Bernland, Anders
LU
; Luger, Annemarie
LU
and Gustafsson, Mats
LU
- organization
- publishing date
- 2010
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- [Host publication title missing]
- pages
- 4 pages
- conference name
- International Symposium on Electromagnetic Theory, 2010
- conference location
- Berlin, Germany
- conference dates
- 2010-08-16 - 2010-08-19
- external identifiers
-
- scopus:78650368838
- DOI
- 10.1109/URSI-EMTS.2010.5637012
- project
- EIT_HSWC:Antenna MIMO antennas and channels
- language
- English
- LU publication?
- yes
- id
- 98389820-6156-43e2-aa7b-c944f03099b3 (old id 1658952)
- date added to LUP
- 2016-04-04 14:07:23
- date last changed
- 2022-01-30 01:28:49
@inproceedings{98389820-6156-43e2-aa7b-c944f03099b3,
abstract = {{A passive system is one that cannot produce energy,<br/><br>
a property that naturally poses constraints on the system. In<br/><br>
this paper there is a review of some results on linear, time<br/><br>
translational invariant, continuous, causal and passive systems,<br/><br>
where it turns out that Herglotz functions are related to the<br/><br>
Fourier transform of the impulse response of such systems.<br/><br>
Some well known facts of this function class is considered,<br/><br>
and a set of integral identities and an outline of the proof of<br/><br>
these are presented. The identities may be used to derive sum<br/><br>
rules and constraints on various physical systems. The theory<br/><br>
is illuminated with two examples from electromagnetics: the<br/><br>
first revisits Fano’s matching equations, while the latter makes<br/><br>
a link to the Kramers-Kronig relations and discusses physical<br/><br>
limitations on metamaterials.}},
author = {{Bernland, Anders and Luger, Annemarie and Gustafsson, Mats}},
booktitle = {{[Host publication title missing]}},
language = {{eng}},
pages = {{33--36}},
title = {{Sum rules and constraints on passive systems with applications in electromagnetics}},
url = {{http://dx.doi.org/10.1109/URSI-EMTS.2010.5637012}},
doi = {{10.1109/URSI-EMTS.2010.5637012}},
year = {{2010}},
}