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Fundamental Bounds on Transmission through Periodically Perforated Metal Screens with Experimental Validation

Ludvig-Osipov, Andrei ; Lundgren, Johan LU ; Ehrenborg, Casimir LU orcid ; Ivanenko, Yevhen LU ; Ericsson, Andreas LU ; Gustafsson, Mats LU orcid ; Jonsson, B. L.G. and Sjoberg, Daniel LU orcid (2020) In IEEE Transactions on Antennas and Propagation 68(2). p.773-782
Abstract

This article presents a study of transmission through arrays of periodic sub-wavelength apertures. Fundamental limitations for this phenomenon are formulated as a sum rule, relating the transmission coefficient over a bandwidth to the static polarizability. The sum rule is rigorously derived for arbitrary periodic apertures in thin screens. By this sum rule we establish a physical bound on the transmission bandwidth which is verified numerically for a number of aperture array designs. We utilize the sum rule to design and optimize sub-wavelength frequency selective surfaces with a bandwidth close to the physically attainable. Finally, we verify the sum rule and simulations by measurements of an array of horseshoe-shaped slots milled in... (More)

This article presents a study of transmission through arrays of periodic sub-wavelength apertures. Fundamental limitations for this phenomenon are formulated as a sum rule, relating the transmission coefficient over a bandwidth to the static polarizability. The sum rule is rigorously derived for arbitrary periodic apertures in thin screens. By this sum rule we establish a physical bound on the transmission bandwidth which is verified numerically for a number of aperture array designs. We utilize the sum rule to design and optimize sub-wavelength frequency selective surfaces with a bandwidth close to the physically attainable. Finally, we verify the sum rule and simulations by measurements of an array of horseshoe-shaped slots milled in aluminum foil.

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author
; ; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Electromagnetic scattering measurements, electromagnetic theory, frequency selective surfaces (FSSs), periodic structures, scattering
in
IEEE Transactions on Antennas and Propagation
volume
68
issue
2
pages
10 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85079275936
ISSN
0018-926X
DOI
10.1109/TAP.2019.2943430
language
English
LU publication?
yes
id
82a51fd7-e251-404e-b1dd-e7a5e8df7d36
date added to LUP
2020-02-20 14:51:46
date last changed
2022-04-18 20:42:06
@article{82a51fd7-e251-404e-b1dd-e7a5e8df7d36,
  abstract     = {{<p>This article presents a study of transmission through arrays of periodic sub-wavelength apertures. Fundamental limitations for this phenomenon are formulated as a sum rule, relating the transmission coefficient over a bandwidth to the static polarizability. The sum rule is rigorously derived for arbitrary periodic apertures in thin screens. By this sum rule we establish a physical bound on the transmission bandwidth which is verified numerically for a number of aperture array designs. We utilize the sum rule to design and optimize sub-wavelength frequency selective surfaces with a bandwidth close to the physically attainable. Finally, we verify the sum rule and simulations by measurements of an array of horseshoe-shaped slots milled in aluminum foil.</p>}},
  author       = {{Ludvig-Osipov, Andrei and Lundgren, Johan and Ehrenborg, Casimir and Ivanenko, Yevhen and Ericsson, Andreas and Gustafsson, Mats and Jonsson, B. L.G. and Sjoberg, Daniel}},
  issn         = {{0018-926X}},
  keywords     = {{Electromagnetic scattering measurements; electromagnetic theory; frequency selective surfaces (FSSs); periodic structures; scattering}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{773--782}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Antennas and Propagation}},
  title        = {{Fundamental Bounds on Transmission through Periodically Perforated Metal Screens with Experimental Validation}},
  url          = {{http://dx.doi.org/10.1109/TAP.2019.2943430}},
  doi          = {{10.1109/TAP.2019.2943430}},
  volume       = {{68}},
  year         = {{2020}},
}