Sum rules and constraints on passive systems with applications in electromagnetics
Author
Summary, in English
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.
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.
Publishing year
2010
Language
English
Pages
33-36
Publication/Series
[Host publication title missing]
Document type
Conference paper
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Conference name
International Symposium on Electromagnetic Theory, 2010
Conference date
2010-08-16 - 2010-08-19
Conference place
Berlin, Germany
Status
Published
Project
- EIT_HSWC:Antenna MIMO antennas and channels
Research group
- Electromagnetic theory