116 citations · 394 across the 32 of their papers we have counts for
5 papers · 1 filter
Double-negative acoustic metamaterials
Habib Ammari, Brian Fitzpatrick, Hyundae Lee +2
The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in bubbly fluids. The design of dou…
Bloch waves in bubbly crystal near the first band gap: a high-frequency homogenization approach
Habib Ammari, Hyundae Lee, Hai Zhang
This paper is concerned with the high-frequency homogenization of bubbly phononic crystals. It is a follow-up of the works [H. Ammari et al., Sub-wavelength phononic bandgap openin…
Sub-wavelength focusing of acoustic waves in bubbly media
Habib Ammari, Brian Fitzpatrick, David Gontier +2
The purpose of this paper is to investigate acoustic wave scattering by a large number of bubbles in a liquid at frequencies near the Minnaert resonance frequency. This bubbly medi…
Asymptotic Analysis of the Narrow Escape Problem in Dendritic Spine Shaped Domain: Three Dimension
Hyundae Lee, Xiaofei Li, Yuliang Wang
This paper deals with the three-dimensional narrow escape problem in dendritic spine shaped domain, which is composed of a relatively big head and a thin neck. The narrow escape pr…
Subwavelength phononic bandgap opening in bubbly media
Habib Ammari, Brian Fitzpatrick, Hyundae Lee +2
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 is an original formula for…