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Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

Vakili, Iman LU ; Gustafsson, Mats LU orcid ; Sjöberg, Daniel LU orcid ; Seviour, Rebecca LU ; Nilsson, Martin LU and Nordebo, Sven LU (2014) In Technical Report LUTEDX/(TEAT-7229)/1-20/(2014) TEAT-7229.
Abstract
An experimental approach to verify the forward scattering sum rule for periodic structures is presented. This approach allows an upper bound on the total cross section integrated over a bandwidth from a simple static problem to be found. Based on energy conservation, the optical theorem is used to construct a relation between the total cross section and the forward scattering of periodic structures as well as single scatterers inside a parallel plate waveguide. Dynamic measurements are performed using a parallel plate waveguide and a parallel plate capacitor is utilized to find the static polarizability. Convex optimization is introduced to identify the total scattering in the dynamic measurements. The results show that

the all... (More)
An experimental approach to verify the forward scattering sum rule for periodic structures is presented. This approach allows an upper bound on the total cross section integrated over a bandwidth from a simple static problem to be found. Based on energy conservation, the optical theorem is used to construct a relation between the total cross section and the forward scattering of periodic structures as well as single scatterers inside a parallel plate waveguide. Dynamic measurements are performed using a parallel plate waveguide and a parallel plate capacitor is utilized to find the static polarizability. Convex optimization is introduced to identify the total scattering in the dynamic measurements. The results show that

the all spectrum interaction between the electromagnetic field and an object are proportional to the static polarizability of the object. (Less)
Please use this url to cite or link to this publication:
author
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organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7229)/1-20/(2014)
volume
TEAT-7229
pages
20 pages
publisher
[Publisher information missing]
report number
TEAT-7229
external identifiers
  • scopus:84910057995
language
English
LU publication?
yes
additional info
Published version: IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 11, pp. 2574-2582, 2014.
id
6e1362dd-8e06-4cb9-99bb-c13ac6d2794d (old id 4285422)
date added to LUP
2016-04-04 13:08:49
date last changed
2021-10-06 03:11:25
@techreport{6e1362dd-8e06-4cb9-99bb-c13ac6d2794d,
  abstract     = {An experimental approach to verify the forward scattering sum rule for periodic structures is presented. This approach allows an upper bound on the total cross section integrated over a bandwidth from a simple static problem to be found. Based on energy conservation, the optical theorem is used to construct a relation between the total cross section and the forward scattering of periodic structures as well as single scatterers inside a parallel plate waveguide. Dynamic measurements are performed using a parallel plate waveguide and a parallel plate capacitor is utilized to find the static polarizability. Convex optimization is introduced to identify the total scattering in the dynamic measurements. The results show that<br/><br>
the all spectrum interaction between the electromagnetic field and an object are proportional to the static polarizability of the object.},
  author       = {Vakili, Iman and Gustafsson, Mats and Sjöberg, Daniel and Seviour, Rebecca and Nilsson, Martin and Nordebo, Sven},
  institution  = {[Publisher information missing]},
  language     = {eng},
  number       = {TEAT-7229},
  series       = {Technical Report LUTEDX/(TEAT-7229)/1-20/(2014)},
  title        = {Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory},
  url          = {https://lup.lub.lu.se/search/files/6060413/4286354.pdf},
  volume       = {TEAT-7229},
  year         = {2014},
}