Subwavelength phononic bandgap opening in bubbly media

Habib Ammari; Brian Fitzpatrick; Hyundae Lee; Sanghyeon Yu; Hai Zhang

doi:10.1016/j.jde.2017.06.025

Subwavelength phononic bandgap opening in bubbly media

Habib Ammari, Brian Fitzpatrick, Hyundae Lee, Sanghyeon Yu, Hai Zhang

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

23 Citations (Scopus)

Abstract

The aim of this paper is to show both analytically and numerically the existence of a subwavelength phononic bandgap in bubble phononic crystals. The key result is an original formula for the quasi-periodic Minnaert resonance frequencies of an arbitrarily shaped bubble. The main findings in this paper are illustrated with a variety of numerical experiments.

Original language	English
Pages (from-to)	5610-5629
Number of pages	20
Journal	Journal of Differential Equations
Volume	263
Issue number	9
DOIs	https://doi.org/10.1016/j.jde.2017.06.025
Publication status	Published - 2017 Nov 5
Externally published	Yes

Keywords

Acoustic waves
Bubble
Layer potentials
Minnaert resonance
Phononic band gap

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2017.06.025

Cite this

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title = "Subwavelength phononic bandgap opening in bubbly media",

abstract = "The aim of this paper is to show both analytically and numerically the existence of a subwavelength phononic bandgap in bubble phononic crystals. The key result is an original formula for the quasi-periodic Minnaert resonance frequencies of an arbitrarily shaped bubble. The main findings in this paper are illustrated with a variety of numerical experiments.",

keywords = "Acoustic waves, Bubble, Layer potentials, Minnaert resonance, Phononic band gap",

author = "Habib Ammari and Brian Fitzpatrick and Hyundae Lee and Sanghyeon Yu and Hai Zhang",

note = "Funding Information: Hyundae Lee was supported by NRF-2015R1D1A1A01059357 grant. Hai Zhang was supported by HK RGC grant ECS 26301016 and startup fund R9355 from HKUST. Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

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doi = "10.1016/j.jde.2017.06.025",

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AU - Ammari, Habib

AU - Fitzpatrick, Brian

AU - Lee, Hyundae

AU - Yu, Sanghyeon

AU - Zhang, Hai

N1 - Funding Information: Hyundae Lee was supported by NRF-2015R1D1A1A01059357 grant. Hai Zhang was supported by HK RGC grant ECS 26301016 and startup fund R9355 from HKUST. Publisher Copyright: © 2017 Elsevier Inc.

PY - 2017/11/5

Y1 - 2017/11/5

N2 - The aim of this paper is to show both analytically and numerically the existence of a subwavelength phononic bandgap in bubble phononic crystals. The key result is an original formula for the quasi-periodic Minnaert resonance frequencies of an arbitrarily shaped bubble. The main findings in this paper are illustrated with a variety of numerical experiments.

AB - The aim of this paper is to show both analytically and numerically the existence of a subwavelength phononic bandgap in bubble phononic crystals. The key result is an original formula for the quasi-periodic Minnaert resonance frequencies of an arbitrarily shaped bubble. The main findings in this paper are illustrated with a variety of numerical experiments.

KW - Acoustic waves

KW - Bubble

KW - Layer potentials

KW - Minnaert resonance

KW - Phononic band gap

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DO - 10.1016/j.jde.2017.06.025

M3 - Article

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SN - 0022-0396

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SP - 5610

EP - 5629

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 9

ER -

Subwavelength phononic bandgap opening in bubbly media

Abstract

Keywords

ASJC Scopus subject areas

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