Advanced

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

Nordebo, Sven LU ; Bernland, Anders LU ; Gustafsson, Mats LU ; Sohl, Christian LU and Kristensson, Gerhard LU (2010) In Technical Report LUTEDX/(TEAT-7204)/1-25/(2010) TEAT-7204.
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7204)/1-25/(2010)
volume
TEAT-7204
pages
25 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
81a62dd4-d071-4ba7-93a6-74bf2de6d737 (old id 1745110)
date added to LUP
2010-12-16 15:47:39
date last changed
2016-09-30 15:26:25
@misc{81a62dd4-d071-4ba7-93a6-74bf2de6d737,
  abstract     = {Using an exact circuit analogy for the scattering of vector spherical waves, it is shown<br/><br>
how the problem of determining the optimal scattering bounds for a homogeneous sphere<br/><br>
in its high-contrast limit is identical to the closely related, and yet very different problem of finding<br/><br>
the broadband tuning limits of the spherical waves.<br/><br>
Using integral relations similar to Fano's broadband matching bounds,<br/><br>
the optimal scattering limitations are determined by the static response as well as the high-frequency asymptotics of the reflection coefficient.<br/><br>
The scattering view of the matching problem yields explicitly the necessary low-frequency asymptotics of the<br/><br>
reflection coefficient that is used with Fano's broadband matching bounds for spherical waves,<br/><br>
something that appears to be non-trivial to derive from the classical network point of view.},
  author       = {Nordebo, Sven and Bernland, Anders and Gustafsson, Mats and Sohl, Christian and Kristensson, Gerhard},
  language     = {eng},
  pages        = {25},
  publisher    = {ARRAY(0x906fab8)},
  series       = {Technical Report LUTEDX/(TEAT-7204)/1-25/(2010)},
  title        = {On the relation between optimal wideband matching and scattering of spherical waves},
  volume       = {TEAT-7204},
  year         = {2010},
}