7 papers
Honeycomb-lattice Minnaert bubbles
Habib Ammari, Brian Fitzpatrick, Erik Orvehed Hiltunen +2
The ability to manipulate the propagation of waves on subwavelength scales is important for many different physical applications. In this paper, we consider a honeycomb lattice of…
Subwavelength resonances of encapsulated bubbles
Habib Ammari, Brian Fitzpatrick, Hyundae Lee +2
The aim of this paper is to derive a formula for the subwavelength resonance frequency of an encapsulated bubble with arbitrary shape in two dimensions. Using Gohberg-Sigal theory,…
Perturbations of the scattering resonances of an open cavity by small particles. Part II: The transverse electric polarization case
Habib Ammari, Alexander Dabrowksi, Brian Fitzpatrick +1
This paper is concerned with the scattering resonances of open cavities. It is a follow-up of "Perturbation of the scattering resonances of an open cavity by small particles. Part…
Perturbation of the scattering resonances of an open cavity by small particles. Part I: The transverse magnetic polarization case
Habib Ammari, Alexander Dabrowski, Brian Fitzpatrick +1
This paper aims at providing a small-volume expansion framework for the scattering resonances of an open cavity perturbed by small particles. The induced shift of the scattering fr…
Subwavelength localized modes for acoustic waves in bubbly crystals with a defect
Habib Ammari, Brian Fitzpatrick, Erik Orvehed Hiltunen +1
The ability to control wave propagation is of fundamental interest in many areas of physics. Photonic and phononic crystals have proved very useful for this purpose but, because th…
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…