Extraordinary transmission through a narrow slit

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Title: Extraordinary transmission through a narrow slit
Authors: Holley, J
Schnitzer, O
Item Type: Journal Article
Abstract: We revisit the problem of extraordinary transmission of acoustic (electromagnetic) waves through a slit in a rigid (perfectly conducting) wall. We use matched asymptotic expansions to study the pertinent limit where the slit width is small compared to the wall thickness, the latter being commensurate with the wavelength. Our analysis focuses on near-resonance frequencies, furnishing elementary formulae for the field enhancement, transmission efficiency, and deviations of the resonances from the Fabry–Pérot frequencies of the slit. We find that the apertures’ near fields play a dominant role, in contrast with the prevalent approximate theory of Takakura (2001). Our theory agrees remarkably well with numerical solutions and electromagnetic experiments (Suckling et al., 2004), thus providing a paradigm for analysing a wide range of wave propagation problems involving small holes and slits.
Issue Date: 1-Nov-2019
Date of Acceptance: 9-Jul-2019
URI: http://hdl.handle.net/10044/1/71902
DOI: https://doi.org/10.1016/j.wavemoti.2019.102381
ISSN: 0165-2125
Publisher: Elsevier
Start Page: 1
End Page: 9
Journal / Book Title: Wave Motion
Volume: 91
Copyright Statement: © 2019 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/R041458/1
Keywords: Applied Mathematics
0102 Applied Mathematics
0203 Classical Physics
Publication Status: Published online
Embargo Date: 2020-07-11
Online Publication Date: 2019-07-11
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics

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