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20162018
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math.AP2018

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

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.AP2018

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…

math.AP2017

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…

math.AP2016

Minnaert resonances for acoustic waves in bubbly media

Habib Ammari, Brian Fitzpatrick, David Gontier +2

Through the application of layer potential techniques and Gohberg-Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. W…