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Sum rules and constraints on passive systems with applications in electromagnetics

Publiceringsår: 2010
Språk: Engelska
Sidor: 33-36
Publikation/Tidskrift/Serie: [Host publication title missing]
Dokumenttyp: Konferensbidrag


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.


  • Electrical Engineering, Electronic Engineering, Information Engineering


International Symposium on Electromagnetic Theory, 2010
  • EIT_HSWC:Antenna MIMO antennas and channels
  • Electromagnetic theory-lup-obsolete

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