# Super-resolution in Imaging High Contrast Targets from the Perspective of Scattering Coefficients

@article{Ammari2014SuperresolutionII, title={Super-resolution in Imaging High Contrast Targets from the Perspective of Scattering Coefficients}, author={Habib M. Ammari and Yat Tin Chow and Jun Zou}, journal={arXiv: Mathematical Physics}, year={2014} }

## 12 Citations

### Two-Dimensional Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking

- Mathematics
- 2016

The concept of scattering coefficients has played a pivotal role in a broad range of inverse scattering and imaging problems in acoustic, and electromagnetic media. In view of their promising…

### Scattering coefficients of inhomogeneous objects and their application in target classification in wave imaging

- MathematicsEuropean Journal of Applied Mathematics
- 2019

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution…

### Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems

- MathematicsSIAM J. Math. Anal.
- 2022

In this paper, we are concerned with the recovery of the geometric shapes of inhomogeneous inclusions from the associated far field data in electrostatics and acoustic scattering. We present a local…

### Optimal Mesh Size for Inverse Medium Scattering Problems

- MathematicsSIAM J. Numer. Anal.
- 2020

This work investigates optimal choices of mesh sizes for the identifications of medium obstacles from either the far-field or near-field data in two and three dimensions to have applications in the reconstruction process of inverse scattering problems.

### Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients

- MathematicsSIAM J. Appl. Math.
- 2016

The stability analysis in terms of condition numbers are new for the phased and phaseless inverse scattering problems, and are very important to help us understand the degree of ill-posedness of these inverse problems.

### Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes

- Physics, MathematicsSIAM J. Imaging Sci.
- 2021

The discovery of a novel and intriguing global geometric structure of the (interior) transmission eigenfunctions associated with the Helmholtz equation is presented and their applications in producing a super-resolution wave imaging scheme and generating the so-called pseudo surface plasmon resonant modes with a potential sensing application are considered.

### Elastic Scattering Ceofficients

- Mathematics
- 2016

The notion of elastic scattering coefficients (ESC) is introduced to address a broad range of inverse scattering and imaging problems in elastic media. The link between scattering amplitudes and ESC…

### Quantum ergodicity and localization of plasmon resonances

- Mathematics
- 2020

We are concerned with the geometric properties of the surface plasmon resonance (SPR). SPR is a non-radiative electromagnetic surface wave that propagates in a direction parallel to the negative…

### Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case

- Physics
- 2015

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where…

### Quantum integrable systems and concentration of plasmon resonance

- Mathematics
- 2021

. We are concerned with the quantitative mathematical understanding of surface plasmon resonance (SPR). SPR is the resonant oscillation of conducting electrons at the interface between negative and…

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