On the relation between optimal wideband matching and scattering of spherical waves
Author
Summary, in English
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.
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.
Publishing year
2011
Language
English
Pages
3358-3369
Publication/Series
IEEE Transactions on Antennas and Propagation
Volume
59
Issue
9
Document type
Journal article
Publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Keywords
- Fano matching bounds
- Herglotz functions
- positivereal functions
- spherical waves
- sum rules
- wideband matching
Status
Published
Research group
- Electromagnetic theory
ISBN/ISSN/Other
- ISSN: 0018-926X