Extraordinary transmission through a narrow slit
File(s)wave_rev2.pdf (561.75 KB)
Accepted version
Author(s)
Holley, J
Schnitzer, O
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.
Date Issued
2019-11-01
Date Acceptance
2019-07-09
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
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://www.sciencedirect.com/science/article/pii/S0165212519301246?via%3Dihub
Grant Number
EP/R041458/1
Subjects
Applied Mathematics
0102 Applied Mathematics
0203 Classical Physics
Publication Status
Published online
Date Publish Online
2019-07-11