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 | |
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