Fundamental bounds on transmission through periodically perforated metal screens with experimental validation
Abstract
This paper 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.
Cite
@article{arxiv.1810.07669,
title = {Fundamental bounds on transmission through periodically perforated metal screens with experimental validation},
author = {Andrei Ludvig-Osipov and Johan Lundgren and Casimir Ehrenborg and Yevhen Ivanenko and Andreas Ericsson and Mats Gustafsson and B. L. G. Jonsson and Daniel Sjöberg},
journal= {arXiv preprint arXiv:1810.07669},
year = {2021}
}
Comments
10 pages, 11 figures. Updated Introduction and Conclusions