Advanced

Time-domain approach to the forward scattering sum rule

Gustafsson, Mats LU (2010) In Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences 466(2124). p.3579-3592
Abstract
The forward scattering sum rule relates the extinction cross section integrated over all wavelengths with the polarizability dyadics. It is useful for deriving bounds on the interaction between scatterers and electromagnetic fields, antenna bandwidth and directivity and energy transmission through sub-wavelength apertures. The sum rule is valid for linearly polarized plane waves impinging on linear, passive and time translational invariant scattering objects in free space. Here, a time-domain approach is used to clarify the derivation and the used assumptions. The time-domain forward scattered field defines an impulse response. Energy conservation shows that this impulse response is the kernel of a passive convolution operator, which... (More)
The forward scattering sum rule relates the extinction cross section integrated over all wavelengths with the polarizability dyadics. It is useful for deriving bounds on the interaction between scatterers and electromagnetic fields, antenna bandwidth and directivity and energy transmission through sub-wavelength apertures. The sum rule is valid for linearly polarized plane waves impinging on linear, passive and time translational invariant scattering objects in free space. Here, a time-domain approach is used to clarify the derivation and the used assumptions. The time-domain forward scattered field defines an impulse response. Energy conservation shows that this impulse response is the kernel of a passive convolution operator, which implies that the Fourier transform of the impulse response is a Herglotz function. The forward scattering sum rule is finally constructed from integral identities for Herglotz functions. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
volume
466
issue
2124
pages
3579 - 3592
publisher
Royal Society
external identifiers
  • WOS:000283662900008
  • Scopus:78649933381
ISSN
1364-5021
DOI
10.1098/rspa.2009.0680
language
English
LU publication?
yes
id
e3d811be-dcb7-4da8-8de5-8422e1cfcc50 (old id 1593593)
date added to LUP
2010-04-29 11:16:02
date last changed
2016-10-13 04:33:52
@misc{e3d811be-dcb7-4da8-8de5-8422e1cfcc50,
  abstract     = {The forward scattering sum rule relates the extinction cross section integrated over all wavelengths with the polarizability dyadics. It is useful for deriving bounds on the interaction between scatterers and electromagnetic fields, antenna bandwidth and directivity and energy transmission through sub-wavelength apertures. The sum rule is valid for linearly polarized plane waves impinging on linear, passive and time translational invariant scattering objects in free space. Here, a time-domain approach is used to clarify the derivation and the used assumptions. The time-domain forward scattered field defines an impulse response. Energy conservation shows that this impulse response is the kernel of a passive convolution operator, which implies that the Fourier transform of the impulse response is a Herglotz function. The forward scattering sum rule is finally constructed from integral identities for Herglotz functions.},
  author       = {Gustafsson, Mats},
  issn         = {1364-5021},
  language     = {eng},
  number       = {2124},
  pages        = {3579--3592},
  publisher    = {ARRAY(0x9e45cb8)},
  series       = {Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences},
  title        = {Time-domain approach to the forward scattering sum rule},
  url          = {http://dx.doi.org/10.1098/rspa.2009.0680},
  volume       = {466},
  year         = {2010},
}