59 citations · 346 across the 33 of their papers we have counts for
36 papers
Spectral theory of plasmonic resonances in the nonlocal regime
Hyundae Lee, Matias Ruiz, Sanghyeon Yu
We present a rigorous spectral analysis of plasmonic resonances in the nonlocal regime of spatially dispersive media. We adopt the quasi-static approximation of the hydrodynamic Dr…
Mathematical Foundation of Sparsity-based Multi-snapshot Spectral Estimation
Ping Liu, Sanghyeon Yu, Ola Sabet +2
In this paper, we study the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements in a bounded…
Bound states in the continuum and Fano resonances in subwavelength resonator arrays
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2
When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be exci…
Wave interaction with subwavelength resonators
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2
The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials…
High-order exceptional points and enhanced sensing in subwavelength resonator arrays
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2
Systems exhibiting degeneracies known as exceptional points have remarkable properties with powerful applications, particularly in sensor design. These degeneracies are formed when…
Exceptional points in parity-time-symmetric subwavelength metamaterials
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +2
When sources of energy gain and loss are introduced to a wave-scattering system, the underlying mathematical formulation will be non-Hermitian. This paves the way for the existence…
Quantitative estimates for stress concentration of the Stokes flow between adjacent circular cylinders
Habib Ammari, Hyeonbae Kang, Do Wan Kim +1
When two inclusions with high contrast material properties are located close to each other in a homogeneous medium, stress may become arbitrarily large in the narrow region between…
Close-to-touching acoustic subwavelength resonators: eigenfrequency separation and gradient blow-up
Habib Ammari, Bryn Davies, Sanghyeon Yu
In this paper, we study the behaviour of the coupled subwavelength resonant modes when two high-contrast acoustic resonators are brought close together. We consider the case of sph…
Topologically protected edge modes in one-dimensional chains of subwavelength resonators
Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen +1
The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their…
Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect
Habib Ammari, Erik Orvehed Hiltunen, Sanghyeon Yu
The recent development of subwavelength photonic and phononic crystals shows the possibility of controlling wave propagation at deep subwavelength scales. Subwavelength bandgap pho…
A high-frequency homogenization approach near the Dirac points in bubbly honeycomb crystals
Habib Ammari, Erik Orvehed Hiltunen, Sanghyeon Yu
In [H. Ammari et al., Honeycomb-lattice Minnaert bubbles. arXiv:1811.03905], the existence of a Dirac dispersion cone in a bubbly honeycomb phononic crystal is shown. The aim of th…
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,…
Hybridization of Singular Plasmons via Transformation Optics
Sanghyeon Yu, Habib Ammari
Surface plasmon resonances of metallic nanostructures offer great opportunities to guide and manipulate light on the nanoscale. In the design of novel plasmonic devices, a central…
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…
A mathematical and numerical framework for near-field optics
Habib Ammari, Doo Sung Choi, Sanghyeon Yu
This paper is concerned with the inverse problem of reconstructing small and local perturbations of a planar surface using the field interaction between a known plasmonic particle…
Double-negative electromagnetic metamaterials due to chirality
Habib Ammari, Wei Wu, Sanghyeon Yu
The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in chiral materials. The design of…
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…
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…
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…
Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity
Hyeonbae Kang, Sanghyeon Yu
In the region between close-to-touching hard inclusions, the stress may be arbitrarily large as the inclusions get closer. The stress is represented by the gradient of a solution t…
Stress concentration for two nearly touching circular holes
Mikyoung Lim, Sanghyeon Yu
We consider the plane elasticity problem for two circular holes. When two holes are close to touching, the stress concentration happens in the narrow gap region. In this paper, we…
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…
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…