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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:
author
organization
publishing date
type
Contribution to conference
publication status
published
subject
pages
1 - 4
conference name
XXIXth URSI General Assembly 2008
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
2008-04-16 10:49:58
date last changed
2016-07-15 11:21:40
@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},
  year         = {2008},
}