Fundamental bounds on extraordinary transmission with experimental validation

Andrei Ludvig-Osipov; Johan Lundgren; Casimir Ehrenborg; Yevhen  Ivanenko; Andreas Ericsson; Mats Gustafsson; Lars Jonsson; Daniel Sjöberg

Fundamental bounds on extraordinary transmission with experimental validation

Andrei Ludvig-Osipov, Johan Lundgren, Casimir Ehrenborg, Yevhen Ivanenko, Andreas Ericsson, Mats Gustafsson, Lars Jonsson, Daniel Sjöberg

Department of Electrical and Information Technology

Research output: Book/Report › Report › Research

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Abstract

This paper presents a study of extraordinary transmission (EoT) through arrays of 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 bandwidth of EoT 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
Publisher	Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden
Number of pages	19
Volume	7263
Publication status	Published - 2018 Oct 22

Publication series

Name	TEAT-7263

Subject classification (UKÄ)

Other Electrical Engineering, Electronic Engineering, Information Engineering

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TEAT-7263

EIT_CACO-EMD Complex analysis and convex optimization for EM design
Ehrenborg, C. (Researcher), Tayli, D. (Researcher), Cismasu, M. (Researcher), Nordebo, S. (Researcher), Sjöberg, D. (Researcher) & Gustafsson, M. (Researcher)
2014/01/01 → 2019/12/31
Project: Research

Cite this

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title = "Fundamental bounds on extraordinary transmission with experimental validation",

abstract = "This paper presents a study of extraordinary transmission (EoT) through arrays of 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 bandwidth of EoT 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.",

author = "Andrei Ludvig-Osipov and Johan Lundgren and Casimir Ehrenborg and Yevhen Ivanenko and Andreas Ericsson and Mats Gustafsson and Lars Jonsson and Daniel Sj{\"o}berg",

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T1 - Fundamental bounds on extraordinary transmission with experimental validation

AU - Ludvig-Osipov, Andrei

AU - Lundgren, Johan

AU - Ehrenborg, Casimir

AU - Ivanenko, Yevhen

AU - Ericsson, Andreas

AU - Gustafsson, Mats

AU - Jonsson, Lars

AU - Sjöberg, Daniel

PY - 2018/10/22

Y1 - 2018/10/22

N2 - This paper presents a study of extraordinary transmission (EoT) through arrays of 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 bandwidth of EoT 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.

AB - This paper presents a study of extraordinary transmission (EoT) through arrays of 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 bandwidth of EoT 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.

M3 - Report

VL - 7263

T3 - TEAT-7263

BT - Fundamental bounds on extraordinary transmission with experimental validation

PB - Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden

ER -

Fundamental bounds on extraordinary transmission with experimental validation

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Projects

EIT_CACO-EMD Complex analysis and convex optimization for EM design

Cite this