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Design of an acoustic energy distributor using thin resonant slits. / Chesnel, Lucas; Nazarov, Sergei A.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 477, No. 2247, 20200896, 01.03.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Chesnel, L & Nazarov, SA 2021, 'Design of an acoustic energy distributor using thin resonant slits', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 477, no. 2247, 20200896. https://doi.org/10.1098/rspa.2020.0896

APA

Chesnel, L., & Nazarov, S. A. (2021). Design of an acoustic energy distributor using thin resonant slits. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2247), [20200896]. https://doi.org/10.1098/rspa.2020.0896

Vancouver

Chesnel L, Nazarov SA. Design of an acoustic energy distributor using thin resonant slits. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2021 Mar 1;477(2247). 20200896. https://doi.org/10.1098/rspa.2020.0896

Author

Chesnel, Lucas ; Nazarov, Sergei A. / Design of an acoustic energy distributor using thin resonant slits. In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2021 ; Vol. 477, No. 2247.

BibTeX

@article{8f4b94392fe94d31a553d22283ecd8c3,
title = "Design of an acoustic energy distributor using thin resonant slits",
abstract = "We consider the propagation of time-harmonic acoustic waves in a device made of three unbounded channels connected by thin slits. The wavenumber is chosen such that only one mode can propagate. The main goal of this work is to present a device which can serve as an energy distributor. More precisely, the geometry is first designed so that for an incident wave coming from one channel, the energy is almost completely transmitted in the two other channels. Additionally, adjusting slightly two geometrical parameters, we can control the ratio of energy transmitted in the two channels. The approach is based on asymptotic analysis for thin slits around resonance lengths. We also provide numerical results to illustrate the theory. ",
keywords = "acoustic waveguide, asymptotic analysis, complex resonance, energy distributor, scattering coefficients, thin slit",
author = "Lucas Chesnel and Nazarov, {Sergei A.}",
note = "Publisher Copyright: {\textcopyright} 2021 The Author(s).",
year = "2021",
month = mar,
day = "1",
doi = "10.1098/rspa.2020.0896",
language = "English",
volume = "477",
journal = "PROC. R. SOC. - A.",
issn = "0950-1207",
publisher = "Royal Society of London",
number = "2247",

}

RIS

TY - JOUR

T1 - Design of an acoustic energy distributor using thin resonant slits

AU - Chesnel, Lucas

AU - Nazarov, Sergei A.

N1 - Publisher Copyright: © 2021 The Author(s).

PY - 2021/3/1

Y1 - 2021/3/1

N2 - We consider the propagation of time-harmonic acoustic waves in a device made of three unbounded channels connected by thin slits. The wavenumber is chosen such that only one mode can propagate. The main goal of this work is to present a device which can serve as an energy distributor. More precisely, the geometry is first designed so that for an incident wave coming from one channel, the energy is almost completely transmitted in the two other channels. Additionally, adjusting slightly two geometrical parameters, we can control the ratio of energy transmitted in the two channels. The approach is based on asymptotic analysis for thin slits around resonance lengths. We also provide numerical results to illustrate the theory.

AB - We consider the propagation of time-harmonic acoustic waves in a device made of three unbounded channels connected by thin slits. The wavenumber is chosen such that only one mode can propagate. The main goal of this work is to present a device which can serve as an energy distributor. More precisely, the geometry is first designed so that for an incident wave coming from one channel, the energy is almost completely transmitted in the two other channels. Additionally, adjusting slightly two geometrical parameters, we can control the ratio of energy transmitted in the two channels. The approach is based on asymptotic analysis for thin slits around resonance lengths. We also provide numerical results to illustrate the theory.

KW - acoustic waveguide

KW - asymptotic analysis

KW - complex resonance

KW - energy distributor

KW - scattering coefficients

KW - thin slit

UR - http://www.scopus.com/inward/record.url?scp=85105063626&partnerID=8YFLogxK

U2 - 10.1098/rspa.2020.0896

DO - 10.1098/rspa.2020.0896

M3 - Article

AN - SCOPUS:85105063626

VL - 477

JO - PROC. R. SOC. - A.

JF - PROC. R. SOC. - A.

SN - 0950-1207

IS - 2247

M1 - 20200896

ER -

ID: 88365953