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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 (2011) In Technical Report LUTEDX/(TEAT-7213)/1-17/(2011) TEAT-7213.
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 extinction 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
Book/Report
publication status
published
subject
keywords
sum rule, Herglotz function, Optical theorem, forward scattering, periodic structures, metamaterial
in
Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)
volume
TEAT-7213
pages
17 pages
publisher
[Publisher information missing]
report number
TEAT-7213
language
English
LU publication?
yes
additional info
Published version: IEEE Transactions on Antennas and Propagation, Vol. 60, No. 8, pp. 3818-3826, 2012.
id
39739dc8-4b9c-4e8d-87b9-7db289e01fd0 (old id 2222391)
date added to LUP
2016-04-04 14:17:25
date last changed
2018-11-21 21:19:27
@techreport{39739dc8-4b9c-4e8d-87b9-7db289e01fd0,
  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 extinction 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},
  institution  = {[Publisher information missing]},
  language     = {eng},
  number       = {TEAT-7213},
  series       = {Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)},
  title        = {Optical theorem and forward scattering sum rule for periodic structures},
  url          = {https://lup.lub.lu.se/search/ws/files/6325837/2222392.pdf},
  volume       = {TEAT-7213},
  year         = {2011},
}