56 citations · 205 across the 29 of their papers we have counts for
29 papers
Optimal Design of Broadband Absorbers with Multiple Plasmonic Nanoparticles via Reduced Basis Method
Yu Gao, Hai Zhang, Kai Zhang
In this paper, we propose a computational framework for the optimal design of broadband absorbing materials composed of plasmonic nanoparticle arrays. This design problem poses sev…
Mathematical theory for the interface mode in a waveguide bifurcated from a Dirac point
Jiayu Qiu, Junshan Lin, Peng Xie +1
In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures…
Mathematical theory for electromagnetic scattering resonances and field enhancement in a subwavelength annular gap
Junshan Lin, Wangtao Lu, Hai Zhang
This work presents a mathematical theory for electromagnetic scattering resonances in a subwavelength annular hole embedded in a metallic slab, with the annulus width . The…
Mathematical theory for topological photonic materials in one dimension
Junshan Lin, Hai Zhang
This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by to…
A super-resolution imaging approach via subwavelength hole resonances
Junshan Lin, Hai Zhang
This work presents a new super-resolution imaging approach by using subwavelength hole resonances. We employ a subwavelength structure in which an array of tiny holes are etched in…
Sensitivity of resonance frequency in the detection of thin layer using nano-slit structures
Junshan Lin, Sang-Hyun Oh, Hai Zhang
We derive the formulas for the resonance frequencies and their sensitivity when the nano-slit structures are used in the detection of thin layers. For a thin layer with a thickness…
Fano resonance in metallic grating via strongly coupled subwavelength resonators
Junshan Lin, Hai Zhang
We investigate the Fano resonance in grating structures by using coupled resonators. The grating consists of a perfectly conducting slab with periodically arranged subwavelength sl…
A mathematical theory for Fano resonance in a periodic array of narrow slits
Junshan Lin, Stephen P. Shipman, Hai Zhang
This work concerns resonant scattering by a perfectly conducting slab with periodically arranged subwavelength slits, with two slits per period. There are two classes of resonances…
The plasmonic resonances of a bowtie antenna
Eric Bonnetier, Charles Dapogny, Faouzi Triki +1
Metallic bowtie-shaped nanostructures are very interesting objects in optics, due to their capability of localizing and enhancing electromagnetic fields in the vicinity of their ce…
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…
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…
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…
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…
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…
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…
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…
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…
A mathematical and numerical framework for bubble meta-screens
Habib Ammari, Brian Fitzpatrick, David Gontier +2
The aim of this paper is to provide a mathematical and numerical framework for the analysis and design of bubble meta-screens. An acoustic meta-screen is a thin sheet with patterne…
Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency
Habib Ammari, Hai Zhang
We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scatteri…
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…
Shape reconstruction of nanoparticles from their associated plasmonic resonances
Habib Ammari, Mihai Putinar, Matias Ruiz +2
We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand…
Theory of plasmonic metasurfaces
Habib Ammari, Matias Ruiz, Wei Wu +2
In this paper we derive an impedance boundary condition to approximate the optical scattering effect of an array of plasmonic nanoparticles mounted on a perfectly conducting plate.…