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Some paradoxes associated with a recent sum rule in scattering theory

Sohl, Christian LU ; Gustafsson, Mats LU and Bernland, Anders LU (2008) XXIXth URSI General Assembly 2008 p.1-4
Abstract
This paper reports on some peculiarities associated with a recently published summation rule for scattering of electromagnetic

waves. The summation rule states that the extinction cross section integrated over all frequencies is equal to

the low-frequency response of the target. Although the summation rule is intriguing by itself, it becomes even more

paradoxical when a static conductivity model or the PEC boundary condition is introduced. The paradoxical character

lies in the fact that the extinction cross section integrated over all frequencies is independent of the static conductivity

as long as it is non-zero. This puzzling result is explained by rejecting the static conductivity model at... (More)
This paper reports on some peculiarities associated with a recently published summation rule for scattering of electromagnetic

waves. The summation rule states that the extinction cross section integrated over all frequencies is equal to

the low-frequency response of the target. Although the summation rule is intriguing by itself, it becomes even more

paradoxical when a static conductivity model or the PEC boundary condition is introduced. The paradoxical character

lies in the fact that the extinction cross section integrated over all frequencies is independent of the static conductivity

as long as it is non-zero. This puzzling result is explained by rejecting the static conductivity model at zero frequency

as suggested by numerical simulations of a homogeneous and isotropic sphere. In addition, the low-frequency behavior

of diamagnetic materials is investigated using Herglotz functions and arguments from the theory of special relativity. (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
b1643dfe-92a4-4218-aafb-6cfbd6d97a40 (old id 1058473)
alternative location
http://www.ursi.org/proceedings/procGA08/papers/B06p4.pdf
date added to LUP
2008-04-16 10:49:38
date last changed
2016-10-07 16:41:37
@misc{b1643dfe-92a4-4218-aafb-6cfbd6d97a40,
  abstract     = {This paper reports on some peculiarities associated with a recently published summation rule for scattering of electromagnetic<br/><br>
waves. The summation rule states that the extinction cross section integrated over all frequencies is equal to<br/><br>
the low-frequency response of the target. Although the summation rule is intriguing by itself, it becomes even more<br/><br>
paradoxical when a static conductivity model or the PEC boundary condition is introduced. The paradoxical character<br/><br>
lies in the fact that the extinction cross section integrated over all frequencies is independent of the static conductivity<br/><br>
as long as it is non-zero. This puzzling result is explained by rejecting the static conductivity model at zero frequency<br/><br>
as suggested by numerical simulations of a homogeneous and isotropic sphere. In addition, the low-frequency behavior<br/><br>
of diamagnetic materials is investigated using Herglotz functions and arguments from the theory of special relativity.},
  author       = {Sohl, Christian and Gustafsson, Mats and Bernland, Anders},
  language     = {eng},
  pages        = {1--4},
  title        = {Some paradoxes associated with a recent sum rule in scattering theory},
  year         = {2008},
}