activity
20142025
most citedA mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators

56 citations · 205 across the 29 of their papers we have counts for

collaborators
Showing 2017Show all

10 papers · 1 filter

math.AP2017

Reconstructing fine details of small objects by using plasmonic spectroscopic data. Part II: The strong interaction regime

Habib Ammari, Matias Ruiz, Sanghyeon Yu +1

This paper is concerned with the inverse problem of reconstructing a small object from far field measurements by using the field interaction with a plasmonic particle which can be…

math.NA2017

Field expansions for systems of strongly coupled plasmonic nanoparticles

Habib Ammari, Matias Ruiz, Sanghyeon Yu +1

This paper is concerned with efficient representations and approximations of the solution to the scattering problem by a system of strongly coupled plasmonic particles. Three schem…

math.AP2017★ 4 cited

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…

math.AP2017

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…

math.AP2017★ 22 cited

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…

math.AP2017★ 1 cited

Scattering by a periodic array of subwavelength slits II: surface bound state, total transmission and field enhancement in homogenization regimes

Junshan Lin, Hai Zhang

This is the second part in a series of two papers that concern with the quantitative analysis of the electromagnetic field enhancement and anomalous diffraction by a periodic array…

math.AP2017

Scattering by a periodic array of subwavelength slits I: field enhancement in the diffraction regime

Junshan Lin, Hai Zhang

This is the first part in a series of two papers that concern with the quantitative analysis of the electromagnetic field enhancement and anomalous diffraction by a periodic array…

math.AP2017

Reconstructing fine details of small objects by using plasmonic spectroscopic data

Habib Ammari, Matias Ruiz, Sanghyeon Yu +1

This paper is concerned with the inverse problem of reconstructing a small object from far field measurements. The inverse problem is severally ill-posed because of the diffraction…

math.SP2017★ 10 cited

Characterization of the essential spectrum of the Neumann-Poincaré operator in 2D domains with corner via Weyl sequences

Eric Bonnetier, Hai Zhang

The Neumann-Poincaré (NP) operator naturally appears in the context of metamaterials as it may be used to represent the solutions of elliptic transmission problems via potentiel 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…