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

Andrei Ludvig-Osipov; Johan Lundgren; Casimir Ehrenborg; Yevhen Ivanenko; Andreas Ericsson; Mats Gustafsson; B. L.G. Jonsson; Daniel Sjoberg

doi:10.1109/TAP.2019.2943430

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

Andrei Ludvig-Osipov, Johan Lundgren, Casimir Ehrenborg, Yevhen Ivanenko, Andreas Ericsson, Mats Gustafsson, B. L.G. Jonsson, Daniel Sjoberg

Electromagnetic Theory

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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 aluminum foil.

Original language	English
Pages (from-to)	773-782
Number of pages	10
Journal	IEEE Transactions on Antennas and Propagation
Volume	68
Issue number	2
DOIs	https://doi.org/10.1109/TAP.2019.2943430
Publication status	Published - 2020 Feb

Subject classification (UKÄ)

Telecommunications

Free keywords

Electromagnetic scattering measurements
electromagnetic theory
frequency selective surfaces (FSSs)
periodic structures
scattering

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10.1109/TAP.2019.2943430

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title = "Fundamental Bounds on Transmission through Periodically Perforated Metal Screens with Experimental Validation",

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 aluminum foil.",

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AU - Ludvig-Osipov, Andrei

AU - Lundgren, Johan

AU - Ehrenborg, Casimir

AU - Ivanenko, Yevhen

AU - Ericsson, Andreas

AU - Gustafsson, Mats

AU - Jonsson, B. L.G.

AU - Sjoberg, Daniel

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AB - 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.

KW - Electromagnetic scattering measurements

KW - electromagnetic theory

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

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