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

25 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

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.

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

@article{8966ed073a434b51a0d2582566f6db1f,

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.",

year = "2017",

month = nov,

day = "5",

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

language = "English",

volume = "263",

pages = "5610--5629",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "9",

}

TY - JOUR

T1 - Subwavelength phononic bandgap opening in bubbly media

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

UR - http://www.scopus.com/inward/record.url?scp=85021661300&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2017.06.025

DO - 10.1016/j.jde.2017.06.025

M3 - Article

AN - SCOPUS:85021661300

SN - 0022-0396

VL - 263

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

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this