A general approach for deriving bounds in electromagnetic theory
Sohl, Christian LU ; Gustafsson, Mats LU
; Kristensson, Gerhard
LU
and Nordebo, Sven
LU
(2008)
XXIXth URSI General Assembly 2008
p.1-4
- Abstract
- This paper reports on a systematic procedure for deriving physical bounds in electromagnetic theory. The approach
is based on the holomorphic properties of certain Herglotz functions and their asymptotic expansions in the low- and
high-frequency regimes. A family of integral identities or summation rules is obtained with values governed by the
coefficients in the low- and high-frequency expansions. In particular, summation rules for plane-wave scattering by a
homogenous and isotropic sphere is derived and verified numerically by computing the extinction cross section and the
bistatic radar cross section in the forward direction. It is concluded that summation rules based on Herglotz... (More) - This paper reports on a systematic procedure for deriving physical bounds in electromagnetic theory. The approach
is based on the holomorphic properties of certain Herglotz functions and their asymptotic expansions in the low- and
high-frequency regimes. A family of integral identities or summation rules is obtained with values governed by the
coefficients in the low- and high-frequency expansions. In particular, summation rules for plane-wave scattering by a
homogenous and isotropic sphere is derived and verified numerically by computing the extinction cross section and the
bistatic radar cross section in the forward direction. It is concluded that summation rules based on Herglotz functions
show great potential for deriving new physical bounds in, e.g., scattering and antenna problems. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1058477
- author
- Sohl, Christian
LU
; Gustafsson, Mats
LU
; Kristensson, Gerhard
LU
and Nordebo, Sven
LU
- organization
- publishing date
- 2008
- type
- Contribution to conference
- publication status
- published
- subject
- pages
- 1 - 4
- conference name
- XXIXth URSI General Assembly 2008
- conference location
- Chicago, Illinois, United States
- conference dates
- 2008-08-07 - 2008-08-16
- language
- English
- LU publication?
- yes
- id
- d0b541f3-6786-4afe-94e3-f63d3d8f5faa (old id 1058477)
- alternative location
- http://www.ursi.org/proceedings/procGA08/papers/B01p4.pdf
- date added to LUP
- 2016-04-04 14:12:42
- date last changed
- 2018-11-21 21:18:57
@misc{d0b541f3-6786-4afe-94e3-f63d3d8f5faa,
abstract = {{This paper reports on a systematic procedure for deriving physical bounds in electromagnetic theory. The approach<br/><br>
is based on the holomorphic properties of certain Herglotz functions and their asymptotic expansions in the low- and<br/><br>
high-frequency regimes. A family of integral identities or summation rules is obtained with values governed by the<br/><br>
coefficients in the low- and high-frequency expansions. In particular, summation rules for plane-wave scattering by a<br/><br>
homogenous and isotropic sphere is derived and verified numerically by computing the extinction cross section and the<br/><br>
bistatic radar cross section in the forward direction. It is concluded that summation rules based on Herglotz functions<br/><br>
show great potential for deriving new physical bounds in, e.g., scattering and antenna problems.}},
author = {{Sohl, Christian and Gustafsson, Mats and Kristensson, Gerhard and Nordebo, Sven}},
language = {{eng}},
pages = {{1--4}},
title = {{A general approach for deriving bounds in electromagnetic theory}},
url = {{http://www.ursi.org/proceedings/procGA08/papers/B01p4.pdf}},
year = {{2008}},
}