activity
20162020
most citedHoneycomb-lattice Minnaert bubbles

35 citations · 104 across the 10 of their papers we have counts for

collaborators

11 papers

math.NA2020

On the Convergence of the Multipole Expansion Method

Brian Fitzpatrick, Enzo De Sena, Toon van Waterschoot

The multipole expansion method (MEM) is a spatial discretization technique that is widely used in applications that feature scattering of waves from circular cylinders. Moreover, i…

math.AP2018★ 35 cited

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…

math.AP2018★ 13 cited

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,…

math-ph2018

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…

math-ph2018

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…

math.AP2018★ 22 cited

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…