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Optical theorem and forward scattering sum rule for periodic structures

Gustafsson, Mats LU orcid ; Vakili, Iman LU ; Bayer Keskin, Sena Esen LU ; Sjöberg, Daniel LU orcid and Larsson, Christer LU (2012) In IEEE Transactions on Antennas and Propagation 60(8). p.3818-3826
Abstract
Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the total cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.
Abstract (Swedish)
Abstract in Undetermined

Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the total cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.
Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
sum rule, cross section, polarizability
in
IEEE Transactions on Antennas and Propagation
volume
60
issue
8
pages
3818 - 3826
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000308435800031
  • scopus:84864663945
ISSN
0018-926X
DOI
10.1109/TAP.2012.2201113
language
English
LU publication?
yes
id
e63e676e-5e96-4b3e-9294-0b68c9c282ff (old id 2342759)
date added to LUP
2016-04-04 09:20:35
date last changed
2022-02-28 07:31:10
@article{e63e676e-5e96-4b3e-9294-0b68c9c282ff,
  abstract     = {{Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the total cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.}},
  author       = {{Gustafsson, Mats and Vakili, Iman and Bayer Keskin, Sena Esen and Sjöberg, Daniel and Larsson, Christer}},
  issn         = {{0018-926X}},
  keywords     = {{sum rule; cross section; polarizability}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{3818--3826}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Antennas and Propagation}},
  title        = {{Optical theorem and forward scattering sum rule for periodic structures}},
  url          = {{https://lup.lub.lu.se/search/files/96358663/TEAT_7213.pdf}},
  doi          = {{10.1109/TAP.2012.2201113}},
  volume       = {{60}},
  year         = {{2012}},
}