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

35 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

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Keywords

Acoustic waves
Bubble
Layer potentials
Minnaert resonance
Phononic band gap

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jde.2017.06.025

Cite this

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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.",

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AU - Ammari, Habib

AU - Fitzpatrick, Brian

AU - Lee, Hyundae

AU - Yu, Sanghyeon

AU - Zhang, Hai

PY - 2017/11/5

Y1 - 2017/11/5

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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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Subwavelength phononic bandgap opening in bubbly media

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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