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On the relation between optimal wideband matching and scattering of spherical waves

Publiceringsår: 2011
Språk: Engelska
Sidor: 3358-3369
Publikation/Tidskrift/Serie: IEEE Transactions on Antennas and Propagation1963-01-01+01:00
Volym: 59
Nummer: 9
Dokumenttyp: Artikel i tidskrift
Förlag: IEEE--Institute of Electrical and Electronics Engineers Inc.


Abstract in Undetermined

Using an exact circuit analogy for the scattering of

vector spherical waves, it is shown how the problem of determining

the optimal scattering bounds for a homogeneous sphere

in its high-contrast limit is identical to the closely related, and

yet very different problem of finding the broadband tuning limits

of the spherical waves. Using integral relations similar to Fano’s

broadband matching bounds, the optimal scattering limitations

are determined by the static response as well as the high-frequency

asymptotics of the reflection coefficient. The scattering view of the

matching problem yields explicitly the necessary low-frequency

asymptotics of the reflection coefficient that is used with Fano’s

broadband matching bounds for spherical waves, something that

appears to be non-trivial to derive from the classical network

point of view.


  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Fano matching bounds
  • Herglotz functions
  • positive real functions
  • spherical waves
  • sum rules
  • wideband matching


  • Electromagnetic theory-lup-obsolete
  • ISSN: 0018-926X

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