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}
}

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

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

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

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

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

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

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

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

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

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

. 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

References

SHOWING 1-10 OF 33 REFERENCES

Medium induced resolution enhancement for broadband imaging

A number of recent studies discuss the phenomenon of super resolution, that is, the fact that a target can be localized with higher resolution than half a wavelength as suggested by the classical

The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering

In the linearized case, explicit formulas for reconstructing permittivity and permeability distributions from the scattering coefficients are proposed and relate the exponentially ill-posed character of the inverse medium scattering problem at a fixed frequency to the exponential decay of the scattering coefficient.

Nanometric resolution with far-field optical profilometry.

It is shown experimentally that a resolution far beyond that of conventional far-field optical profilometers can be reached with optical diffraction tomography, and this new profilometry technique, whose resolution can be compared to that of atomic microscopes, also gives access to the permittivity of the surface.

An Introduction to Mathematics of Emerging Biomedical Imaging

This paper presents a meta-modelling procedure that automates the very labor-intensive and therefore time-heavy and expensive process of manually cataloging and cataloging the materials used in tomographic and hybrid imaging procedures.

Near-field imaging of the surface displacement on an infinite ground plane

This paper is concerned with the inverse diffraction problem for an unbounded obstacle which is a ground plane with some local disturbance. The data is collected in the near-field regime with a

Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy

Lateral resolution that exceeds the classical diffraction limit by a factor of two is achieved by using spatially structured illumination in a wide‐field fluorescence microscope with strikingly increased clarity compared to both conventional and confocal microscopes.

A Mathematical Theory of Super-Resolution by Using a System of Sub-Wavelength Helmholtz Resonators

A rigorous mathematical theory is developed to explain the super-resolution phenomenon observed in the experiment (Lemoult et al., Phys Rev Lett 107:064301, 2011). A key ingredient is the calculation

Nonlinear structured-illumination microscopy: wide-field fluorescence imaging with theoretically unlimited resolution.

  • M. Gustafsson
  • Physics
    Proceedings of the National Academy of Sciences of the United States of America
  • 2005
Experimental results show that a 2D point resolution of <50 nm is possible on sufficiently bright and photostable samples, and a recently proposed method in which the nonlinearity arises from saturation of the excited state is experimentally demonstrated.

Resonant metalenses for breaking the diffraction barrier.

The resonant metalens is introduced, a cluster of coupled subwavelength resonators that is realizable at any frequency where subwa wavelength resonators can be designed and experimentally demonstrates imaging and focusing from the far field with resolutions far below the diffraction limit.

Time Reversal in Subwavelength-Scaled Resonant Media: Beating the Diffraction Limit

Time reversal is a physical concept that can focus waves both spatially and temporally regardless of the complexity of the propagation medium. Time reversal mirrors have been demonstrated first in