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

Publiceringsår: 2010
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7204)/1-25/(2010)
Volym: TEAT-7204
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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


  • Electromagnetic theory-lup-obsolete

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