Subwavelength phononic bandgap opening in bubbly media

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Ammari, Habib¹  Fitzpatrick, Brian¹  Lee, Hyundae²  Yu, Sanghyeon¹  Zhang, Hai³ 

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Inha Univ, Dept Math, 253 Yonghyun Dong, Incheon 402751, South Korea

[3] HKUST, Dept Math, Kowloon, Hong Kong, Peoples R China

关键词: Minnaert resonance;    Bubble;    Phononic band gap;    Layer potentials;    Acoustic waves;   

DOI  :  10.1016/j.jde.2017.06.025

来源: Elsevier

【 摘 要 】

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. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free