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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 In [Host publication title missing] 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:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
[Host publication title missing]
pages
4 pages
conference name
International Symposium on Electromagnetic Theory, 2010
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
2010-08-25 15:49:52
date last changed
2016-10-13 05:00:01
@misc{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},
  language     = {eng},
  pages        = {33--36},
  series       = {[Host publication title missing]},
  title        = {Sum rules and constraints on passive systems with applications in electromagnetics},
  url          = {http://dx.doi.org/10.1109/URSI-EMTS.2010.5637012},
  year         = {2010},
}