@article{Georgiades:2022:10.1121/10.0013897,
author = {Georgiades, E and Lowe, MJS and Craster, RV},
doi = {10.1121/10.0013897},
journal = {Journal of the Acoustical Society of America},
pages = {1487--1497},
title = {Leaky wave characterisation using spectral methods},
url = {http://dx.doi.org/10.1121/10.0013897},
volume = {152},
year = {2022}
}

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TY  - JOUR
AB  - Leaky waves are an important class of waves, particularly for guiding waves along structures embedded within another medium; a mismatch in wavespeeds often leads to leakage of energy from the waveguide, or interface, into the medium, which consequently attenuates the guided wave. The accurate and efficient identification of theoretical solutions for leaky waves is a key requirement for the choices of modes and frequencies required for non-destructive evaluation inspection techniques. We choose a typical situation to study: an elastic waveguide with a fluid on either side. Historically, leaky waves are identified via root-finding methods that have issues with conditioning, or numerical methods that struggle with the exponential growth of solutions at infinity. By building upon a spectral collocation method, we show how it can be adjusted to find exponentially growing solutions, i.e., leaky waves, leading to an accurate, fast, and efficient identification of their dispersion properties. The key concept required is a mapping, in the fluid region, that allows for exponential growth of the physical solution at infinity, whilst the mapped numerical setting decays. We illustrate this by studying leaky Lamb waves in an elastic waveguide immersed between two different fluids and verify this using the commercially available software disperse.
AU  - Georgiades,E
AU  - Lowe,MJS
AU  - Craster,RV
DO  - 10.1121/10.0013897
EP  - 1497
PY  - 2022///
SN  - 0001-4966
SP  - 1487
TI  - Leaky wave characterisation using spectral methods
T2  - Journal of the Acoustical Society of America
UR  - http://dx.doi.org/10.1121/10.0013897
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000860424600003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR  - http://hdl.handle.net/10044/1/112882
VL  - 152
ER  - 

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