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Physical limitations on the scattering of electromagnetic vector spherical waves

Publiceringsår: 2011
Språk: Engelska
Publikation/Tidskrift/Serie: Journal of Physics A: Mathematical and Theoretical2007-01-01+01:00
Volym: 44
Nummer: 14
Dokumenttyp: Artikel i tidskrift
Förlag: IOP Publishing


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.


  • Electrical Engineering, Electronic Engineering, Information Engineering


  • EIT_HSWC:Antenna MIMO antennas and channels
  • Electromagnetic theory-lup-obsolete
  • ISSN: 1751-8113

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