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Optical theorem and forward scattering sum rule for periodic structures

Gustafsson, Mats LU ; Vakili, Iman LU ; Bayer Keskin, Sena Esen LU ; Sjöberg, Daniel LU 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.
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author
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]
language
English
LU publication?
yes
id
39739dc8-4b9c-4e8d-87b9-7db289e01fd0 (old id 2222391)
date added to LUP
2011-12-07 11:12:36
date last changed
2016-09-30 15:29:05
@misc{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},
  keyword      = {sum rule,Herglotz function,Optical theorem,forward scattering,periodic structures,metamaterial},
  language     = {eng},
  pages        = {17},
  publisher    = {ARRAY(0x159ae30)},
  series       = {Technical Report LUTEDX/(TEAT-7213)/1-17/(2011)},
  title        = {Optical theorem and forward scattering sum rule for periodic structures},
  volume       = {TEAT-7213},
  year         = {2011},
}