Imperial College London
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DrOrySchnitzer

Faculty of Natural Sciences, Department of Mathematics

Reader in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 3833o.schnitzer Website

 
 
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Location

 

739Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Holley:2019:10.1016/j.wavemoti.2019.102381,
author = {Holley, J and Schnitzer, O},
doi = {10.1016/j.wavemoti.2019.102381},
journal = {Wave Motion},
pages = {1--9},
title = {Extraordinary transmission through a narrow slit},
url = {http://dx.doi.org/10.1016/j.wavemoti.2019.102381},
volume = {91},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Holley,J
AU  - Schnitzer,O
DO  - 10.1016/j.wavemoti.2019.102381
EP  - 9
PY  - 2019///
SN  - 0165-2125
SP  - 1
TI  - Extraordinary transmission through a narrow slit
T2  - Wave Motion
UR  - http://dx.doi.org/10.1016/j.wavemoti.2019.102381
UR  - https://www.sciencedirect.com/science/article/pii/S0165212519301246?via%3Dihub
UR  - http://hdl.handle.net/10044/1/71902
VL  - 91
ER  -
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