Du är här

Time-domain approach to the forward scattering sum rule

Publiceringsår: 2010
Språk: Engelska
Sidor: 3579-3592
Publikation/Tidskrift/Serie: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
Volym: 466
Nummer: 2124
Dokumenttyp: Artikel

Sammanfattning

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.

Disputation

Nyckelord

  • Technology and Engineering
  • Physics and Astronomy

Övrigt

Published
Yes
  • Electromagnetic theory
  • ISSN: 1364-5021

Box 117, 221 00 LUND
Telefon 046-222 00 00 (växel)
Telefax 046-222 47 20
lu [at] lu [dot] se

Fakturaadress: Box 188, 221 00 LUND
Organisationsnummer: 202100-3211
Om webbplatsen

LERU logo U21 logo