Waves in the cochlea and in acoustic rainbow sensors
Waves in the cochlea and in acoustic rainbow sensors
A WKB solution to the cochlear wave equation is derived, which results from the interaction between the passive dynamics of the basilar membrane and the 1D fluid coupling in the scalae, including both fluid viscosity and compressibility. The effect of various nondimensional parameters on the form of this solution is discussed. A nondimensional damping parameter and a nondimensional phase-shift parameter are shown to have the greatest influence on the response under normal conditions in the cochlea, with the fluid viscosity and compressibility only playing a minor role. It is then shown that in the case of an acoustic rainbow sensor, comprised of a discrete series of Helmholtz resonators in a duct, the governing wave equation in the continuous limit has the same form as the cochlear wave equation. The nondimensional compressibility parameter in this case is governed by the ratio of the Helmholtz resonator volume to that of the connecting duct and this parameter can be much larger than in the cochlea, and so plays a more dominant role in determining the response.
Basilar membrane motion, Cochlea, Fluid coupling, Rainbow sensors, Wave propagation
Marrocchio, Riccardo
def87122-2955-4abe-8f86-9d8a7c731373
Karlos, Angelis
c740900b-67d0-41a0-be44-e270163de37d
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
November 2021
Marrocchio, Riccardo
def87122-2955-4abe-8f86-9d8a7c731373
Karlos, Angelis
c740900b-67d0-41a0-be44-e270163de37d
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
Marrocchio, Riccardo, Karlos, Angelis and Elliott, Stephen
(2021)
Waves in the cochlea and in acoustic rainbow sensors.
Wave Motion, 106, [102808].
(doi:10.1016/j.wavemoti.2021.102808).
Abstract
A WKB solution to the cochlear wave equation is derived, which results from the interaction between the passive dynamics of the basilar membrane and the 1D fluid coupling in the scalae, including both fluid viscosity and compressibility. The effect of various nondimensional parameters on the form of this solution is discussed. A nondimensional damping parameter and a nondimensional phase-shift parameter are shown to have the greatest influence on the response under normal conditions in the cochlea, with the fluid viscosity and compressibility only playing a minor role. It is then shown that in the case of an acoustic rainbow sensor, comprised of a discrete series of Helmholtz resonators in a duct, the governing wave equation in the continuous limit has the same form as the cochlear wave equation. The nondimensional compressibility parameter in this case is governed by the ratio of the Helmholtz resonator volume to that of the connecting duct and this parameter can be much larger than in the cochlea, and so plays a more dominant role in determining the response.
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Riccardo Marrocchio et al Wave Motion 2021
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Accepted/In Press date: 22 July 2021
e-pub ahead of print date: 24 July 2021
Published date: November 2021
Additional Information:
Funding Information:
Riccardo Marrocchio is supported by a studentship from the UK Engineering and Physical Sciences Research Council (EPSRC) , associated with the DigiTwin project ( EP/R006768/1 ). Angelis Karlos is supported by the National Science Centre in Poland ( 2018/31/B/ST8/00753 ).
Publisher Copyright:
© 2021 Elsevier B.V.
Keywords:
Basilar membrane motion, Cochlea, Fluid coupling, Rainbow sensors, Wave propagation
Identifiers
Local EPrints ID: 450903
URI: http://eprints.soton.ac.uk/id/eprint/450903
ISSN: 0165-2125
PURE UUID: 36eb2fbf-fff7-4244-8b12-da4b14102010
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Date deposited: 19 Aug 2021 16:34
Last modified: 11 Nov 2024 20:48
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Angelis Karlos
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